Sinossi
This book provides an introduction to the theory of elliptic modular functions and forms.
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Descrizione del libro
This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like theta functions.
Contenuti
1. Groups of matrices and bilinear mappings; 2. Mapping properties; 3. Automorphic factors and multiplier systems; 4. General properties of modular forms; 5. Construction of modular forms; 6. Functions belonging to the full modular group; 7. Groups of level 2 and sums of squares; 8. Modular forms of level N; 9. Hecke operators and congruence groups; 10. Applications.
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Modular Forms and Functions (Paperback)
Editore:
Cambridge University Press, Cambridge, 2008
ISBN 10: 0521091683
ISBN 13: 9780521091688
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Paperback. Condizione: new. Paperback. This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like theta functions. They can be expressed as Fourier series, and the Fourier coefficients frequently possess multiplicative properties which lead to a correspondence between modular forms and Dirichlet series having Euler products. The Fourier coefficients also arise in certain representational problems in the theory of numbers, for example in the study of the number of ways in which a positive integer may be expressed as a sum of a given number of squares. The treatment of the theory presented here is fuller than is customary in a textbook on automorphic or modular forms, since it is not confined solely to modular forms of integral weight (dimension). It will be of interest to professional mathematicians as well as senior undergraduate and graduate students in pure mathematics. This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like theta functions. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780521091688
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Modular Forms and Functions
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ISBN 13: 9780521091688
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Condizione: New. This book provides an introduction to the theory of elliptic modular functions and forms. Num Pages: 400 pages, black & white illustrations. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 231 x 167 x 26. Weight in Grams: 616. . 2009. 1st Edition. paperback. . . . . Codice articolo V9780521091688
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Condizione: New. This book provides an introduction to the theory of elliptic modular functions and forms. Num Pages: 400 pages, black & white illustrations. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 231 x 167 x 26. Weight in Grams: 616. . 2009. 1st Edition. paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780521091688
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Modular Forms and Functions (Paperback)
Editore:
Cambridge University Press, Cambridge, 2008
ISBN 10: 0521091683
ISBN 13: 9780521091688
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Paperback. Condizione: new. Paperback. This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like theta functions. They can be expressed as Fourier series, and the Fourier coefficients frequently possess multiplicative properties which lead to a correspondence between modular forms and Dirichlet series having Euler products. The Fourier coefficients also arise in certain representational problems in the theory of numbers, for example in the study of the number of ways in which a positive integer may be expressed as a sum of a given number of squares. The treatment of the theory presented here is fuller than is customary in a textbook on automorphic or modular forms, since it is not confined solely to modular forms of integral weight (dimension). It will be of interest to professional mathematicians as well as senior undergraduate and graduate students in pure mathematics. This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like theta functions. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9780521091688
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