Lectures on Siegel modular forms and representation by quadratic forms
type: Item
instance of: scholarly article
title: Lectures on Siegel modular forms and representation by quadratic forms
zbMATH Open document ID: 0596.10020
published in: Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research
publication date: 1986-01-01T00:00:00Z
review text: The book considers the problem which quadratic forms are represented by a given quadratic form and how often. One approach is arithmetical: this is handled in Chapter 2, which gives a self-contained proof of the results of a paper by \textit{J. S. Hsia}, the author and \textit{M. Kneser} [J. Reine Angew. Math. 301, 132-141 (1978; Zbl 0374.10013)]. The other approach is analytic, considering theta series and Eisenstein series and estimating Fourier coefficients: this is done in Chapter 1, which gives a self- contained description of methods developed in recent papers by the author. The book is written clearly and gives a good introduction up to the frontiers of research in this area.
Mathematics Subject Classification ID: 11E12
Mathematics Subject Classification ID: 11-02
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 11E45
zbMATH DE Number: 3959535
zbMATH Keywords: Siegel modular forms
zbMATH Keywords: representation by quadratic forms
zbMATH Keywords: quadratic forms
zbMATH Keywords: theta series
zbMATH Keywords: Eisenstein series
zbMATH Keywords: Fourier coefficients
author: Yoshiyuki Kitaoka
reviewed by: Meinhard Peters
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3959535