From their inception, Siegel modular forms have been studied extensively because of their significance in both automorphic functions in several complex variables and number theory. The comprehensive theory of automorphic forms to subgroups of algebraic groups and the arithmetical theory of modular forms illustrate these two aspects in an illuminating manner. The author’s aim is to present a straightforward and easily accessible survey of the main ideas of the theory at an elementary level, providing a sound basis from which the reader can study advanced works and undertake original research. This book is based on lectures given by the author for a number of years and is intended for a one-semester graduate course, though it can also be used profitably for self-study. The only prerequisites are a basic knowledge of algebra, number theory and complex analysis.Contents
Contents contributed and discussions participated by arithwsun arithwsun
1. Linear Equations in Primes introduction Beamer.tex - File Shared from Box.net - Free... - 0 views
The Mobius-Nilsequences conjecture - 0 views
Introductory Lectures on Siegel Modular Forms - Cambridge University Press - 0 views
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Preface; 1. The modular group; 2. Basic facts on modular forms; 3. Large weights; 4. Small weights; 5. Modular functions; 6. Dirichlet series; Bibliography; Index.
Number Theory and Polynomials - Cambridge University Press - 0 views
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Many areas of active research within the broad field of number theory relate to properties of polynomials, and this volume displays the most recent and most interesting work on this theme. The 2006 Number Theory and Polynomials workshop in Bristol drew together international researchers with a variety of number-theoretic interests, and the book’s contents reflect the quality of the meeting. Topics covered include recent work on the Schur-Siegel-Smyth trace problem, Mahler measure and its generalisations, the merit factor problem, Barker sequences, K3-surfaces, self-inversive polynomials, Newman’s inequality, algorithms for sparse polynomials, the integer transfinite diameter, divisors of polynomials, non-linear recurrence sequences, polynomial ergodic averages, and the Hansen-Mullen primitivity conjecture. With surveys and expository articles presenting the latest research, this volume is essential for graduates and researchers looking for a snapshot of current progress in polynomials and number theory.• An invaluable resource to both students and experts in this area, with survey articles on the most important topics in the field • Expository articles introduce graduate students to some problems of active interest • The inclusion of new results from leading experts in the field provides a snapshot of current progress
中国高等研究院"数学、理论物理和哲学杰出青年才俊免费班"招生启事-恒甫学社-搜狐博客 - 0 views
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中国高等研究院 2008年“数学、理论物理和哲学杰出青年才俊免费班”招生启事 中国高等研究院将从2008年9月开始，每个周末（周六、日）举办数学、理论物理和哲学杰出青年才俊班，讲授数学、理论物理和哲学领域的基础理论。该班为免费授课，欢迎全国各高校的大学生、硕士研究生报名，也欢迎博士研究生参加。 授课时间：每周六、日，第一次课程将于2008年9月6日、7日开始。 授课地点：中央财经大学校内 所授课程涵盖如下领域： 数学：代数，分析，几何，拓扑学； 理论物理：弦论，宇宙学，现象学； 哲学：数理逻辑，分析哲学，心灵哲学，哲学史，中西比较哲学。 授课教授： 数学和理论物理： 沈维孝(讲座教授,东京大学数学博士), 夏志宏(讲座教授,西北大学数学博士),刘清越 (副教授,中国科学院数学博士),郭光远(副教授,牛津大学数学博士,微分几何,拓扑)，邓健 (副教授,布朗大学数学博士),徐栩(副教授,中国科技大学博士),梁湘三(教授,哈佛大学博士),杨海棠(副教授,MIT理论物理博士),吕宏(讲座教授,德州A&M大学理论物理博士)等。
科学网-[转贴]西文数学书籍大全 4G多资源 - 0 views
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Number theory : A Computational Introduction to Number Theory and Algebra - Victor Shoup A Concise Introduction to the Theory of Numbers- Baker A. A Course in Arithmetic (graduate level) - J. Serre A course in computational algebraic number theory - Cohen H. A Course in Number Theory and Cryptography 2 ed - Neal Koblitz A Course In Number Theory And Cryptography 2Ed - Koblitz N Advanced Number Theory - Cohn Algebra and number theory - Baker A. Algebraic Groups and Number Theory - Platonov & Rapinchuk Algebraic Number Theory - IYANAGA ALGEBRAIC NUMBER THEORY - MILNE Algorithmic Methods In Algebra And Number Theory - Pohst M Algorithmic number theory - Cohen H. Algorithmic number theory, vol. 1 Efficient algorithms - Bach E., Shallit J. An Explicit Approach To Elementary Number Theory - stein An Introduction to Conformal Field Theory [jnl article] - M. Gaberdiel AN INTRODUCTION TO THE THEORY OF NUMBERS - hardy & wright An Introduction to the Theory of Numbers - Leo Moser An introduction to the theory of numbers 5ed - Niven I., Zuckerman H.S., Montgomery H.L. Analytic number theory - Iwaniec H.,Kowalski E. Analytic Number Theory - Newman D.J. Analytic Number Theory- Jia & Matsumoto Arithmetic Theory of Elliptic Curves - J. Coates Computational Algebraic Number Theory - Pohst M E Computational excursions in analysis and number theory - Borwein P.
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Only Problems Not Solutions - F. Smarandache Prime Numbers The Most Mysterious Figures in Math - D. Wells Problems In Algebraic Number Theory 2Ed - Murty M , Esmonde J SOlved and unsolved problems in Number Theory - Daniel Shanks Surfing on the Ocean of Numbers - H. Ibstedt Survey Of Diophantine Geometry - Serge Lang The elements of the theory of algebraic numbers - Hilbert.djv The Foundations of Arithmetic 2nd ed. revised - G. Frege The New Book Of Prime Number Records 3rd ed. - P. Ribenboim The Theory of algebraic numbers sec ed - Pollard H., Diamond H.G. the theory of functions and sets of natural numbers - Odifreddi, P Three Pearls of Number Theory - Khinchin Transcendental number theory - Baker A. Unsolved Problems In Number Theory 2 Ed - R K Guy.djv
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Introduction to Modern Number Theory Fundamental Problems, Ideas and Theories 2nd Edition - Manin I., Panchishkin A Introduction to p-adic numbers and valuation theory- Bachman G. Introduction to the Theory of Numbers 4th ed. - G. Hardy, E. Wright Lectures on topics in algebraic number theory - Ghorpade Mainly Natural Numbers - Studies on Sequences - H. Ibstedt Math. problems and proofs combinatorics, number theory and geometry - B. Kisacanin Mathematical Problems And Proofs Combinatorics, Number Theory, and Geometry - Kluwer Academic My Numbers, My Friends - Popular Lectures on Number Theory My Numbers,My Friends Popular Lectures On Number Theory - Ribenboim Number Theory - Z.Borevitch, I. Shafarevich Number theory for beginners - Weil A. Number theory for computing - Yan S Y. Numerical Mathematics - A. Quarteroni, A. Sacco, F. Saleri Numerical Methods for Engineers and Scientists 2nd ed. - J. Hoffman Numerical Optimization - J. Nocedal, S. Wright Numerical Recipes in C - The Art Of Scientific Computing 2nd ed. Numerical Recipes in Fortran 77 2nd ed. Vol 1 Old And New Problems And Results In Combinatorial Number Theory - Erdos, P.&Graham, R.L
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Milliman Lecture I: Additive combinatorics and the primes « What's new - 0 views
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However, it turns out that if one of the sets, say A, is sufficiently “uniform” or “pseudorandom”, then one can always solve this Goldbach-type problem, regardless of what the other two sets are. This type of fact is often established by Fourier-analytic means (or by closely related techniques, such as spectral theory), but let me give a heuristic combinatorial argument to indicate why one would expect this type of phenomenon to occur.
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quares Primes Lagrange’s four square theorem: For every positive integer N, there exists a pattern in of the form . Vinogradov’s theorem: For every sufficiently large integer N, there exists a pattern in of the form . Fermat’s two square theorem: For every prime number , there exists a pattern in of the form . Even Goldbach conjecture: For every even number , there exists a pattern in of the form . Fermat’s four square theorem: There does not exist any pattern in of the form with . Green-Tao theorem: For any , there exist infinitely many patterns in of the form with . Pell’s equation: There are infinitely many patterns in of the form . Sophie Germain conjecture: There are infinitely many patterns in of the form .
Pseudorandom number generation by p-adic ergodic transformations. arXiv Mathematics - C... - 0 views
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Abstract. The paper study counter-dependent pseudorandom number generators based on m-variate (m> 1) ergodic mappings of the space of 2-adic integers Z2. The sequence of internal states of these generators is defined by the recurrence law xi+1 = H B i (xi) mod 2 n, whereas their output sequence is zi = F B i (xi) mod 2 n; here xj, zj are m-dimensional vectors over Z2. It is shown how the results obtained for a univariate case could be extended to a multivariate case. 1.
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Foundations of Cryptography. Basic Tools. Cambridge Univ – Goldreich - 2001
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129 Uniform distribution of sequences – Kuipers, Niederreiter - 1974
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科学网-SCI投稿常用英语 - 0 views
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1. Dear Dr. Defendi ML: I am sending a manuscript entitled "" by - which I should like to submit for possible publication in the journal of - . Yours sincerely 2. Dear Dr. A: Enclosed is a manuscript entitled "" by sb, which we are submitting for publication in the journal of - . We have chosen this journal because it deals with - . We believe that sth would be of interest to the journal's readers. 3. Dear Dr. A: Please find enclosed for your review an original research article, "" by sb. All authors have read and approve this version of the article, and due care has been taken to ensure the integrity of the work. No part of this paper has published or submitted elsewhere. No conflict of interest exits in the submission of this manuscript, and we have attached to this letter the signed letter granting us permission to use Figure 1 from another source. We appreciate your consideration of our manuscript, and we look forward to receiving comments from the reviewers. 二、询问有无收到稿件 Dear Editors, We dispatched our manuscript to your journal on 3 August 2006 but have not, as yet, receive acknowledgement of their safe arrival. We fear that may have been lost and should be grateful if you would let us know whether or not you have received them. If not, we will send our manuscript again. Thank you in advance for your help. 三、询问论文审查回音 Dear Editors， It is more than 12 weeks since I submitted our manuscript (No: ) for possible publication in your journal. I have not yet received a reply and am wondering whether you have reached a decision. I should appreciated your letting me know what you have decided as soon as possible. 四、关于论文的总体审查意见 1. This is a carefully done study and the findings are of considerable interest. A few minor revision are list below. 2. This is a well-written paper containing interesting results which merit publication. For the benefit of the reader, however, a numb
tueslides.pdf (application/pdf 对象) - 0 views
谷歌金山词霸合作版 - 0 views
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谷歌金山词霸合作版 软件介绍 《谷歌金山词霸合作版》是金山与谷歌面向互联网翻译市场联合开发，适用于个人用户的免费翻译软件。软件支持中、日、英三语查询，有取词、查词、查句、全文翻译、网页翻译等功能。 软件特点 经典准确：传承金山词霸十年内容品质，收录《现代英汉综合大词典》、《汉英词典》(新)等经典词典，涵盖金山词霸百万余词条。 网络词典：《爱词霸百科词典》和海量的《Google网络词典》，囊括所有新词，流行词，内容紧跟时代。 实用例句：80万情景例句，直接输入句子或关键字就可以找到所有相关联的句型和用法，举一反三使您学到更多。 时尚轻巧：下载快，启动快，有效节省系统资源。使用快捷方便，占用空间小。人性化操作界面，外形时尚。 智能翻译：使用领先的网络引擎，在丰富语料库基础上结合强大的翻译技术，使得全文翻译结果智能准确。 网页直译：支持网页翻译，您可以直接输入网址并选择语种，快速实时地显示翻译结果。 多语互译：中英日繁4种语言七个方向!支持英汉、汉英、英英、汉汉、汉日、日汉查词，以及中、英、日、繁四种语言7个方向翻译。 纯正发音：30万纯正真人发音，含英语中5万长词、难词和词组，帮您纠正英文单词发音。 屏幕取词：领先的屏幕词取技术，新增译中译功能，可选任意的单词或词组，支持Windows Vista操作系统，并支持PDF文档格式取词。 轻松学习：查词或学习时将生词归纳入生词本，以悬浮窗口的形式方便您随时背单词。每日新鲜的网络学习内容让您和爱词霸百万会员分享共进！
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