Collected Papers V

2002–2012

Goro Shimura (Autor)

Alice Silverberg, Hiroyuki Yoshida (Herausgeber)

Buch | Hardcover

XVI, 278 Seiten

2016
Springer International Publishing (Verlag)
978-3-319-32547-7 (ISBN)

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In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement: "To Goro Shimura for his important and extensive work on arithmetical geometry and automorphic forms; concepts introduced by him were often seminal, and fertile ground for new developments, as witnessed by the many notations in number theory that carry his name and that have long been familiar to workers in the field."
120 of Shimura's most important papers are collected in five volumes. Volume V contains his mathematical papers from 2002 onwards and some notes to the articles.

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List of publications.- [02] The representation of integers as sums of squares.- [04] Inhomogeneous quadratic forms and triangular numbers.- [06a] Quadratic Diophantine equations and orders in quaternion algebras.- [06b] Quadratic Diophantine equations, the class number, and the mass formula.- [06c] Integer-valued quadratic forms and quadratic Diophantine equations.- [06d] Classification, construction, and similitudes of quadratic forms.- [08a] Classification of integer-valued symmetric forms.- [08b] The critical values of certain Dirichlet series.- [08c] Arithmetic of Hermitian forms.- [10] The critical values of generalizations of the Hurwitz zeta function.- [06e] Some remarks and open problems on the Woods Hole fixed point formula.

Erscheinungsdatum	25.07.2016
Reihe/Serie	Springer Collected Works in Mathematics
Zusatzinfo	XVI, 278 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebraic Geometry • automorphic functions • Dirichlet series • Eichler-Shimura congruence relation • Eichler–Shimura congruence relation • Eichler-Shimura isomorphism • Eichler–Shimura isomorphism • hermitian forms • Hurwitz zeta function • inhomogeneous quadratic forms • integer-valued symmetric forms • Lie Theory • mathematics and statistics • modular curves • modularity theorem • Number Theory • Quadratic Diophantine equations • symmetric forms • Woods Hole fixed point formula
ISBN-10	3-319-32547-7 / 3319325477
ISBN-13	978-3-319-32547-7 / 9783319325477
Zustand	Neuware