Elliptic Curves, Modular Forms, and Their L-functions (Student Mathematical Library)

Alvaro Lozano-Robledo

ISBN 10: 0821852426 / ISBN 13: 9780821852422

Editore: American Mathematical Society, 2011

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An introductory survey of elliptic curves, modular forms, and $L$-functions. The main goal is to provide the reader with the big picture of the surprising connections among these three families of mathematical objects and their meaning for number theory. Series: Student Mathematical Library. Num Pages: 195 pages, Illustrations. BIC Classification: PBMW. Category: (G) General (US: Trade). Dimension: 217 x 139 x 12. Weight in Grams: 266. . 2011. Paperback. . . . . Codice articolo V9780821852422

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Titolo: Elliptic Curves, Modular Forms, and Their ...

Casa editrice: American Mathematical Society

Data di pubblicazione: 2011

Legatura: Brossura

Condizione: New

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Riassunto:

The text grew out of lecture notes for a course Lozano-Robledo taught at an undergraduate summer school as part of the 2009 Park City Mathematics Institute. It is an introductory survey of the theory of elliptic curves, modular forms, and their Lfunctions, emphasizing examples rather than proofs. His goal is to provide a big picture of the surprising connections among these three types of mathematical objects, which seem so distinct. One theme is the statement of the modularity theorem (nee Taniyuama-Shimura-Weil conjecture), and one of its most renowned consequences, Fermat's last theorem. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)