<p>The main objects of study in this book are Eisenstein series and zeta functions associated with Hecke eigenforms on symplectic and unitary groups. After preliminaries--including a section, "Notation and Terminology"--the first part of the book deals with automorphic forms on such groups. In particular, their rationality over a number field is defined and discussed in connection with the group action; also the reciprocity law for the values of automorphic functions at CM-points is proved. Next, certain differential operators that raise the weight are investigated in higher dimension. The notion of nearly holomorphic functions is introduced, and their arithmeticity is defined. As applications of these, the arithmeticity of the critical values of zeta functions and Eisenstein series is proved. Though the arithmeticity is given as the ultimate main result, the book discusses many basic problems that arise in number-theoretical investigations of automorphic forms but that cannot be found in expository forms. Examples of this include the space of automorphic forms spanned by cusp forms and certain Eisenstein series, transformation formulas of theta series, estimate of the Fourier coefficients of modular forms, and modular forms of half-integral weight. All these are treated in higher-dimensional cases. The volume concludes with an Appendix and an Index. The book will be of interest to graduate students and researchers in the field of zeta functions and modular forms.</p>

Arithmeticity in the Theory of Automorphic Forms (Mathematical Surveys and Monographs, 82)

Science & Math

Goro Shimura

Mathematics

American Mathemataical Society

Collected Papers IV: 1989-2001

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." 103 of Shimura´s most important papers are collected in four volumes. Volume IV contains his mathematical papers from 1989 to 2001 and some notes to the articles.

Springer

Collected Papers I: 1954 – 1966

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.." 103 of Shimura´s most important papers are collected in four volumes. Volume I contains his mathematical papers from 1954 to 1966 and some notes to the articles.

Dislocation of the Temporomandibular Joint: A Guide to Diagnosis and Management

See the best price to sell, buy, or rent books by Goro Shimura. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Goro Shimura

See the best price to sell, buy, or rent books by Goro Shimura. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Arithmeticity in the Theory of Automorphic Forms (Mathematical Surveys and Monographs, 82)

Collected Papers IV: 1989-2001

Collected Papers I: 1954 – 1966

Dislocation of the Temporomandibular Joint: A Guide to Diagnosis and Management