9780691142029 - computational aspects of modular forms and galois representations: how one can compute in polynomial time the value of ramanujan's tau at a prime: how ... value of ramanujan's tau at a prime (am-176) (23 risultati)
Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tau At a Prime
De Jong, Robin & Franz Merkl & Johan Bosman & Jean-Marc Couveignes & Bas Edixhoven
Lingua: Inglese
Editore: Princeton University Press, Princeton 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Daedalus Books, Portland, OR, U.S.A.Daedalus Books
Contatta il venditoreVenditore con 5 stelleMembro dell’associazione: CBA
Condizione: Usato - Quasi ottimo
EUR 29,34
EUR 5,72 spedizioneSpedito in U.S.A.Quantità: 1 disponibili
Paperback. Condizione: Near Fine. A nice, solid copy. ; Annals Of Mathematics Studies; Vol. 176; 6.5 X 1 X 9.5 inches; 425 pages.
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Labyrinth Books, Princeton, NJ, U.S.A.Labyrinth Books
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 33,53
EUR 3,96 spedizioneSpedito in U.S.A.Quantità: 5 disponibili
Condizione: New.
Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tau At a Prime
Edixhoven, Bas & Jean-Marc Couveignes & Robin De Jong & Franz Merkl & Johan Bosman
Lingua: Inglese
Editore: Princeton University Press, Princeton 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Daedalus Books, Portland, OR, U.S.A.Daedalus Books
Contatta il venditoreVenditore con 5 stelleMembro dell’associazione: CBA
Condizione: Usato - Quasi ottimo
EUR 32,60
EUR 5,72 spedizioneSpedito in U.S.A.Quantità: 1 disponibili
Paperback. Condizione: Near Fine. A nice, solid copy. ; Annals of Mathematics Studies; Vol. 176; 6.5 X 1 X 9.5 inches; 425 pages.
Computational Aspects of Modular Forms and Galois Representations : How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime
Edixhoven, Bas (EDT); Couveignes, Jean-marc (EDT); Bosman, Johan (CON); De Jong, Robin (CON); Merkl, Franz (CON)
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: GreatBookPrices, Columbia, MD, U.S.A.GreatBookPrices
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 81,18
EUR 2,32 spedizioneSpedito in U.S.A.Quantità: 4 disponibili
Condizione: New.
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: PBShop.store US, Wood Dale, IL, U.S.A.PBShop.store US
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 83,58
Spedizione gratuitaSpedito in U.S.A.Quantità: 1 disponibili
PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.
Computational Aspects of Modular Forms and Galois Representations : How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime
Edixhoven, Bas (EDT); Couveignes, Jean-marc (EDT); Bosman, Johan (CON); De Jong, Robin (CON); Merkl, Franz (CON)
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: GreatBookPrices, Columbia, MD, U.S.A.GreatBookPrices
Contatta il venditoreVenditore con 5 stelleCondizione: Usato - Come nuovo
EUR 90,57
EUR 2,32 spedizioneSpedito in U.S.A.Quantità: 4 disponibili
Condizione: As New. Unread book in perfect condition.
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Brook Bookstore On Demand, Napoli, NA, ItaliaBrook Bookstore On Demand
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 87,59
EUR 6,80 spedizioneSpedito da Italia a U.S.A.Quantità: 4 disponibili
Condizione: new.
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Kennys Bookshop and Art Galleries Ltd., Galway, GY, IrlandaKennys Bookshop and Art Galleries Ltd.
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 87,23
EUR 10,50 spedizioneSpedito da Irlanda a U.S.A.Quantità: 1 disponibili
Condizione: New. Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. This title gives an algorithm for computing coefficients of modular forms of level one in polynomial time. Editor(s): Edixhoven, Bas; Couveignes, Jean-Marc. Series: A…nnals of Mathematics Studies. Num Pages: 440 pages, 6 line illus. BIC Classification: PBH; PBMW. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 234 x 157 x 22. Weight in Grams: 622. . 2011. Paperback. . . . .
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: PBShop.store UK, Fairford, GLOS, Regno UnitoPBShop.store UK
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 96,99
EUR 5,83 spedizioneSpedito da Regno Unito a U.S.A.Quantità: 1 disponibili
PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.
Computational Aspects of Modular Forms and Galois Representations : How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime
Edixhoven, Bas (EDT); Couveignes, Jean-marc (EDT); Bosman, Johan (CON); De Jong, Robin (CON); Merkl, Franz (CON)
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: GreatBookPricesUK, Woodford Green, Regno UnitoGreatBookPricesUK
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 86,08
EUR 17,41 spedizioneSpedito da Regno Unito a U.S.A.Quantità: 4 disponibili
Condizione: New.
Lingua: Inglese
Editore: Princeton University Press, US 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Rarewaves USA, OSWEGO, IL, U.S.A.Rarewaves USA
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 108,58
Spedizione gratuitaSpedito in U.S.A.Quantità: Più di 20 disponibili
Paperback. Condizione: New. Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known al…gorithms for computing these Fourier coefficients took exponential time, except in some special cases. The case of elliptic curves (Schoof's algorithm) was at the birth of elliptic curve cryptography around 1985. This book gives an algorithm for computing coefficients of modular forms of level one in polynomial time. For example, Ramanujan's tau of a prime number p can be computed in time bounded by a fixed power of the logarithm of p. Such fast computation of Fourier coefficients is itself based on the main result of the book: the computation, in polynomial time, of Galois representations over finite fields attached to modular forms by the Langlands program. Because these Galois representations typically have a nonsolvable image, this result is a major step forward from explicit class field theory, and it could be described as the start of the explicit Langlands program.The computation of the Galois representations uses their realization, following Shimura and Deligne, in the torsion subgroup of Jacobian varieties of modular curves. The main challenge is then to perform the necessary computations in time polynomial in the dimension of these highly nonlinear algebraic varieties. Exact computations involving systems of polynomial equations in many variables take exponential time. This is avoided by numerical approximations with a precision that suffices to derive exact results from them. Bounds for the required precision--in other words, bounds for the height of the rational numbers that describe the Galois representation to be computed--are obtained from Arakelov theory. Two types of approximations are treated: one using complex uniformization and another one using geometry over finite fields. The book begins with a concise and concrete introduction that makes its accessible to readers without an extensive background in arithmetic geometry. And the book includes a chapter that describes actual computations.
Computational Aspects of Modular Forms and Galois Representations : How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime
Edixhoven, Bas (EDT); Couveignes, Jean-marc (EDT); Bosman, Johan (CON); De Jong, Robin (CON); Merkl, Franz (CON)
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: GreatBookPricesUK, Woodford Green, Regno UnitoGreatBookPricesUK
Contatta il venditoreVenditore con 5 stelleCondizione: Usato - Come nuovo
EUR 91,87
EUR 17,41 spedizioneSpedito da Regno Unito a U.S.A.Quantità: 4 disponibili
Condizione: As New. Unread book in perfect condition.
Lingua: Inglese
Editore: Princeton University Press, US 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Rarewaves.com USA, London, LONDO, Regno UnitoRarewaves.com USA
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 111,28
Spedizione gratuitaSpedito da Regno Unito a U.S.A.Quantità: 2 disponibili
Paperback. Condizione: New. Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known al…gorithms for computing these Fourier coefficients took exponential time, except in some special cases. The case of elliptic curves (Schoof's algorithm) was at the birth of elliptic curve cryptography around 1985. This book gives an algorithm for computing coefficients of modular forms of level one in polynomial time. For example, Ramanujan's tau of a prime number p can be computed in time bounded by a fixed power of the logarithm of p. Such fast computation of Fourier coefficients is itself based on the main result of the book: the computation, in polynomial time, of Galois representations over finite fields attached to modular forms by the Langlands program. Because these Galois representations typically have a nonsolvable image, this result is a major step forward from explicit class field theory, and it could be described as the start of the explicit Langlands program.The computation of the Galois representations uses their realization, following Shimura and Deligne, in the torsion subgroup of Jacobian varieties of modular curves. The main challenge is then to perform the necessary computations in time polynomial in the dimension of these highly nonlinear algebraic varieties. Exact computations involving systems of polynomial equations in many variables take exponential time. This is avoided by numerical approximations with a precision that suffices to derive exact results from them. Bounds for the required precision--in other words, bounds for the height of the rational numbers that describe the Galois representation to be computed--are obtained from Arakelov theory. Two types of approximations are treated: one using complex uniformization and another one using geometry over finite fields. The book begins with a concise and concrete introduction that makes its accessible to readers without an extensive background in arithmetic geometry. And the book includes a chapter that describes actual computations.
Computational Aspects of Modular forms and Galois Representations
Merkl Franz Couveignes Jean?marc Couveignes Jean-marc Bosman Johan De Jong Robin Edixhoven Bas
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Majestic Books, Hounslow, Regno UnitoMajestic Books
Contatta il venditoreVenditore con 4 stelleCondizione: Nuovo
EUR 109,60
EUR 7,54 spedizioneSpedito da Regno Unito a U.S.A.Quantità: 3 disponibili
Condizione: New. pp. 440.
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Kennys Bookstore, Olney, MD, U.S.A.Kennys Bookstore
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 111,10
EUR 9,24 spedizioneSpedito in U.S.A.Quantità: 1 disponibili
Condizione: New. Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. This title gives an algorithm for computing coefficients of modular forms of level one in polynomial time. Editor(s): Edixhoven, Bas; Couveignes, Jean-Marc. Series: A…nnals of Mathematics Studies. Num Pages: 440 pages, 6 line illus. BIC Classification: PBH; PBMW. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 234 x 157 x 22. Weight in Grams: 622. . 2011. Paperback. . . . . Books ship from the US and Ireland.
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: THE SAINT BOOKSTORE, Southport, Regno UnitoTHE SAINT BOOKSTORE
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 99,00
EUR 20,11 spedizioneSpedito da Regno Unito a U.S.A.Quantità: 1 disponibili
Paperback / softback. Condizione: New. New copy - Usually dispatched within 4 working days.
Computational Aspects of Modular forms and Galois Representations
Franz Merkl Jean?marc Couveignes Jean-marc Couveignes Johan Bosman Robin De Jong Bas Edixhoven
Lingua: Inglese
Editore: Princeton University Press 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Books Puddle, New York, NY, U.S.A.Books Puddle
Contatta il venditoreVenditore con 4 stelleCondizione: Nuovo
EUR 126,57
EUR 3,51 spedizioneSpedito in U.S.A.Quantità: 3 disponibili
Condizione: New. pp. 440.
Lingua: Inglese
Editore: Princeton University Press, US 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Rarewaves USA United, OSWEGO, IL, U.S.A.Rarewaves USA United
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 111,07
EUR 44,01 spedizioneSpedito in U.S.A.Quantità: Più di 20 disponibili
Paperback. Condizione: New. Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known al…gorithms for computing these Fourier coefficients took exponential time, except in some special cases. The case of elliptic curves (Schoof's algorithm) was at the birth of elliptic curve cryptography around 1985. This book gives an algorithm for computing coefficients of modular forms of level one in polynomial time. For example, Ramanujan's tau of a prime number p can be computed in time bounded by a fixed power of the logarithm of p. Such fast computation of Fourier coefficients is itself based on the main result of the book: the computation, in polynomial time, of Galois representations over finite fields attached to modular forms by the Langlands program. Because these Galois representations typically have a nonsolvable image, this result is a major step forward from explicit class field theory, and it could be described as the start of the explicit Langlands program.The computation of the Galois representations uses their realization, following Shimura and Deligne, in the torsion subgroup of Jacobian varieties of modular curves. The main challenge is then to perform the necessary computations in time polynomial in the dimension of these highly nonlinear algebraic varieties. Exact computations involving systems of polynomial equations in many variables take exponential time. This is avoided by numerical approximations with a precision that suffices to derive exact results from them. Bounds for the required precision--in other words, bounds for the height of the rational numbers that describe the Galois representation to be computed--are obtained from Arakelov theory. Two types of approximations are treated: one using complex uniformization and another one using geometry over finite fields. The book begins with a concise and concrete introduction that makes its accessible to readers without an extensive background in arithmetic geometry. And the book includes a chapter that describes actual computations.
Lingua: Inglese
Editore: Princeton Univ Pr 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Revaluation Books, Exeter, Regno UnitoRevaluation Books
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 157,57
EUR 14,51 spedizioneSpedito da Regno Unito a U.S.A.Quantità: 2 disponibili
Paperback. Condizione: Brand New. 440 pages. 9.13x6.22x0.91 inches. In Stock.
Lingua: Inglese
Editore: PRINCETON UNIV PR 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: moluna, Greven, Germaniamoluna
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 116,61
EUR 48,99 spedizioneSpedito da Germania a U.S.A.Quantità: Più di 20 disponibili
Condizione: New. Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. This title gives an algorithm for computing coefficients of modular forms of level one in polynomial time.
Lingua: Inglese
Editore: Princeton University Press, US 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: Rarewaves.com UK, London, Regno UnitoRarewaves.com UK
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 104,53
EUR 75,45 spedizioneSpedito da Regno Unito a U.S.A.Quantità: 2 disponibili
Paperback. Condizione: New. Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known al…gorithms for computing these Fourier coefficients took exponential time, except in some special cases. The case of elliptic curves (Schoof's algorithm) was at the birth of elliptic curve cryptography around 1985. This book gives an algorithm for computing coefficients of modular forms of level one in polynomial time. For example, Ramanujan's tau of a prime number p can be computed in time bounded by a fixed power of the logarithm of p. Such fast computation of Fourier coefficients is itself based on the main result of the book: the computation, in polynomial time, of Galois representations over finite fields attached to modular forms by the Langlands program. Because these Galois representations typically have a nonsolvable image, this result is a major step forward from explicit class field theory, and it could be described as the start of the explicit Langlands program.The computation of the Galois representations uses their realization, following Shimura and Deligne, in the torsion subgroup of Jacobian varieties of modular curves. The main challenge is then to perform the necessary computations in time polynomial in the dimension of these highly nonlinear algebraic varieties. Exact computations involving systems of polynomial equations in many variables take exponential time. This is avoided by numerical approximations with a precision that suffices to derive exact results from them. Bounds for the required precision--in other words, bounds for the height of the rational numbers that describe the Galois representation to be computed--are obtained from Arakelov theory. Two types of approximations are treated: one using complex uniformization and another one using geometry over finite fields. The book begins with a concise and concrete introduction that makes its accessible to readers without an extensive background in arithmetic geometry. And the book includes a chapter that describes actual computations.
Lingua: Inglese
Editore: Princeton University Press Jun 2011 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 160,91
EUR 63,06 spedizioneSpedito da Germania a U.S.A.Quantità: 1 disponibili
Taschenbuch. Condizione: Neu. Neuware - 'This book represents a major step forward from explicit class field theory, and it could be described as the start of the 'explicit Langlands program''.
Lingua: Inglese
Editore: Princeton Univ Pr 2011
Serie: Annals of Mathematics Studies, Libro 28 di 202. Libro 28 di 202 - Annals of Mathematics Studies
- Brossura
- Print on Demand
Da: Revaluation Books, Exeter, Regno UnitoRevaluation Books
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 115,64
EUR 14,51 spedizioneSpedito da Regno Unito a U.S.A.Quantità: 2 disponibili
Paperback. Condizione: Brand New. 440 pages. 9.13x6.22x0.91 inches. In Stock. This item is printed on demand.
