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数论:梦幻之旅:第五届中日数论研讨会演讲集

  2020-10-03 00:00:00  

数论:梦幻之旅:第五届中日数论研讨会演讲集 本书特色

This book,or parts thereof,may not be reproduced in any form or by any means,electronic or mechanical,including photocopying,recording or any information storage and retrieval aystem now known or to be inuented,with-out written permission from the Publisher。 Reprint edition arranged with World Scientific Co.Pte.Ltd.,Singapore.

数论:梦幻之旅:第五届中日数论研讨会演讲集 内容简介

先介绍一下这次研讨会的内容和这本演讲集,这些演讲比较广泛地涉及了很多当代数论的内容,就像从参会者的论文和本书的简介中看到的那样,本著作的主题涵盖了解析数论(经典堆垒数论和现代堆垒数论的重点)、模形式理论、代数群和代数数论,本演讲集不仅收集了参会者的论文,而且还收集了没有参会的受邀者的论文,比如Andrzej Schinzel教授、Igor Shparlinski教授和Ken Yamamura教授。中国的许多数学著作甚至名词都是从日本“引进”的,中间可能会出现点失误,比如“无理数”这个词就有问题,但大多数是好的,希望这部书的出版再为我国的数论发展助一分力。

数论:梦幻之旅:第五届中日数论研讨会演讲集 目录

Rreface Recent progress on quantitative arithmetic of del Pezzo surfaces Additive representation in thin sequences, VIII:Diophantine inequalities in review Recent progress on dynamics of a special arithmetic function Some Diophantine problems arising from the isomorphism problem of generic polynomials A statistical relation of roots of a polynomial in different local fields II Generalized modular functions and their Fourier coefficients Functional relations for zeta-functions of root systems A quick introduction to Maass forms The number of non-zero cofficients of a polynomial-solved and unsolved problems Open problems on exponential and character sums Errata to"A general modular relation in analytic number theory" Bibliography on determinantal expressions of relative class numbers of imaginary abelian number fields Author Index 数论:梦幻之旅:第五届中日数论研讨会演讲集

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