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Reciprocity laws are pivotal in number theory, explored through roots of unity and complex multiplication of elliptic functions. Goro Shimura's work presents significant generalizations, detailing these laws via abelian varieties, theta functions, and modular functions, including Siegel modular functions. The book also delves into the zeta function of abelian varieties and the emerging field of algebraic relations among periods of abelian integrals. This comprehensive treatment covers topics previously unexplored, making it a vital resource for researchers in the field.
Zakup książki
Abelian Varieties with Complex Multiplication and Modular Functions, Goro Shimura
- Język
- Rok wydania
- 1997
- Oprawa
- (twarda)
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- Tytuł
- Abelian Varieties with Complex Multiplication and Modular Functions
- Podtytuł
- (Pms-46)
- Język
- angielski
- Autorzy
- Goro Shimura
- Wydawca
- Princeton University Press
- Rok wydania
- 1997
- Oprawa
- twarda
- Liczba stron
- 232
- ISBN10
- 0691016569
- ISBN13
- 9780691016566
- Seria
- Tagi
- Nauka, Geometria, Algebra, Teoria Liczb
- Opis
- Reciprocity laws are pivotal in number theory, explored through roots of unity and complex multiplication of elliptic functions. Goro Shimura's work presents significant generalizations, detailing these laws via abelian varieties, theta functions, and modular functions, including Siegel modular functions. The book also delves into the zeta function of abelian varieties and the emerging field of algebraic relations among periods of abelian integrals. This comprehensive treatment covers topics previously unexplored, making it a vital resource for researchers in the field.