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Modular forms with integral and half-integral weights

저자: Xueli Wang; Dingyi Pei
출판사: Beijing : Science Press ; Heidelberg ; London : Springer, ©2012.
판/형식:   전자도서 : 문서 : 영어모든 판과 형식 보기
데이터베이스:WorldCat
요약:
"Modular Forms with Integral and Half-Integral Weights" focuses on the fundamental theory of modular forms of one variable with integral and half-integral weights. The main theme of the book is the theory of Eisenstein series. It is a fundamental problem to construct a basis of the orthogonal complement of the space of cusp forms; as is well known, this space is spanned by Eisenstein series for any weight greater  더 읽기…
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장르/형태: Electronic books
추가적인 물리적 형식: Print version:
Wang, Xueli, 1963-
Modular forms with integral and half-integral weights.
Beijing : Science Press ; Heidelberg ; London : Springer, ©2012
(OCoLC)809564569
자료 유형: 문서, 인터넷 자료
문서 형식: 인터넷 자원, 컴퓨터 파일
모든 저자 / 참여자: Xueli Wang; Dingyi Pei
ISBN: 9783642293023 3642293026
OCLC 번호: 828664034
설명: 1 online resource (x, 432 pages) : illustrations
내용: Theta Functions and Their Transformation Formulae --
Eisenstein Series --
The Modular Group and Its Subgroups --
Modular Forms with Integral Weight or Half-integral Weight --
Operators on the Space of Modular Forms --
New Forms and Old Forms --
Construction of Eisenstein Series --
Weil Representation and Shimura Lifting --
Trace Formula --
Integers Represented by Positive Definite Quadratic Forms.
책임: Xueli Wang, Dingyi Pei.
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초록:

Taking the theory of Eisenstein series as its core theme, this volume focuses on the fundamental principles of modular forms of one variable. With analysis of half-integral as well as integral  더 읽기…

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From the reviews: "The reader will find a thorough introduction to many central themes in the theory of modular forms of integral and half-integral weight in one variable. ... This monograph is a 더 읽기…

 
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