Goro Shimura
Es wurden insgesamt 32 Einträge zu 'Goro Shimura' gefunden (Stand: 16.05.2010).
Sehen Sie sich die aktuell angebotenen Bücher zu 'Goro Shimura' an.
Shimura, Goro: Elementary Dirichlet Series and Modular Forms. Berlin, Springer, 2007. ISBN: 978-0-387-72473-7
VIII, 146 p. Hardcover. Springer Monographs in Mathematics Gestempelt.; Springer Monographs in Mathematics
Goro,Shimura: Elementary Dirichlet Series and Modular Forms, Springer-Verlag GmbH, Oktober 2007 ISBN: 0387724737
The main topics of the book are the critical values of Dirichlet L-functions and Hecke L-functions of an imaginary quadratic field, and various problems on elliptic modular forms. As to the values of Dirichlet L-functions, all previous papers and books reiterate a single old result with a single old method. After a review of elementry Fourier analysis, we present completely new results with new methods, though old results will also be proved. No advanced knowledge of number theory is required up to this point. As applications, new formulas for the second factor of the class number of a cyclotomic field will be given. The second half of the book assumes familiarity with basic knowledge of modular forms. However, all definitions and facts are clearly stated, and precise references are to the determination of the critical values of Hecke L-functions of an imaginary quadratic field. Other notable features of the book are: (1) some new results on classical Eisenstein series; (2) the discussion of isomorphism classes of ellitic curves with complex multiplication in connection with their zeta function and periods; (3) a new class of holomorphic differential operators that send modular forms to those of a different weight. TOC:Preface.- Introduction.- Preliminaries on Modular Forms and Dirichlet Series.- Critical Values of Dirichlet L-functions.- The Case of Imaginary Quadratic Fields and Nearly Holomorphic Modular Forms.- Eisenstein Series.- Critical Values of Dirichlet Series Associated with Imaginary Quadratic Fields.- Supplementary Results.- Appendix.- References.- Index.-
NEUBUCH! 3., Korr. U. Er. - 147 Seiten 237 mm x 165 mm x 13 mm Einband:Gebunden
[KW: Mathematics / Number Theory]
Shimura, Goro: Automorphic Functions and Number Theory. Springer Berlin 1968
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Paperback 69 S. Guter Zustand, Ex-Library.,
[KW: Mathematik]
Shimura, Goro: Elementary Dirichlet Series and Modular Forms, Springer, 2007 ; weicher Einband / soft cover ISBN: 0-387-72473-7
VIII, 152 S. verlagsneu