He and his followers made important contributions to number theory and to the theory of music and harmony.
他和他的追随者们对数字理论和音乐及和声理论作出了重要贡献。
In this article we discuss some questions with respect to number theory in the works of Euclid and diophantus.
在本文中，我们讨论了欧几里得和丢番图著作中与数论有关的某些问题。
Robert Matthews of the University of Aston in Birmingham, UK, combined astronomical data with number theory to do just that.
英国伯明翰阿斯顿大学的罗伯特·马修斯就利用了天文数据再结合数论完成了这项创举。
As a branch of number theory, the theory of binary quadratic forms has a long history.
作为数论的一个分支，二元二次型理论有着悠久的历史。
The probabilistic method is a powerful tool for dealing with many problems in combinatorics and number theory.
概率方法是解决组合数学和数论中许多问题的强有力工具。
The permutation law and decision method of prime number is an important question of the number theory.
素数的排列规律和鉴别方法一直是数论中研究的重要问题之一。
He has made contributions to iso-number theory which is developed as a result of contact with Santilli.
作为与桑蒂利接触的结果，他对iso -数论做出了贡献。
Analytic number theory is fortunate to have one of the most famous unsolved problems, the Riemann hypothesis.
解析数论非常幸运还有一个最为有名的未解决的问题，即黎曼假设。
In this thesis, the basic concepts of cryptogram including number theory and modular arithmetic are introduced.
本文介绍了密码学的基本概念，包括数论的基础知识和模运算的概念。
Simultaneously, using the knowledge of number theory, it can guarantee the anonymity of the authorized group signature.
同时，利用数论中的有关知识，可以保证授权群签名的“匿名”性．。
Shoup's main research interests and contributions are computer algorithms relating to number theory, algebra, and cryptography.
他的主要研究方向以及贡献是在与数论、代数学以及密码学有关的计算机算法上面。
The congruent theory is one of the core contents of number theory, containing a great deal of special thought, concept and method.
同余理论是初等数论的核心内容之一，蕴含着大量的数论所特有的思想、概念和方法。
This paper analyzes this possibility mostly based on mathematical theoretical analysis, applying number theory and probability theory.
该文利用包括数论与概率论在内的纯数学方法，分析了这种想法的可能性。
He is a great scientist, without his support and help I would not have been able to accomplish many of my achievements in number theory.
他是一位伟大科学家，没有他的支持和帮助，我不会取得我在数论中取得的许多成就。
Greatest Common Divisor is one of the basic subjects in computational number theory, it has a wide application in encryption and analysis of cryptography.
最大公因子计算是计算数论的基础课题之一，它在密码算法和密码分析中有着非常广泛的应用。
There are many intractable problems in number theory, many cryptosystems were established of which the security is based on the intractability of these problems.
数论中存在着许多难题，很多密码体制就是以这些难题为安全性基础的。
In this lecture the speaker will demonstrate sample algebraic and number theory applications in information security, in particular, in the design of cryptosystems.
在此讲座中，报告人将用实例展示代数和数论在信息安全，特别是密码系统设计中的应用。
In concluding this talk I wish to emphasize my advocacy for analytic number theory by saying again that the theory flourishes with or without the Riemann hypothesis.
在结束这次讲话时，我愿通过再次说明，数论将在无论有还是没有黎曼假设的情况下继续繁荣，来强调我对于解析数论的拥护。
Cui Guohua, Male, born in 1947, Professor, Supervisor of PhD Candidates. Main research: access control, the security analysis of cryptosystem, algebra number theory.
崔国华(通讯作者)，男，1947年生，教授，博士生导师。主要研究方向：访问控制，密码体制的安全性分析，代数数论。
Mean value problems of arithmetical functions play an important role in the study of analytic number theory, and they relate to many famous number theoretic problems.
算术函数的均值问题在解析数论研究中占有十分重要的位置，许多著名的数论难题都与之密切相关。
Based on the prime radix DFT and number theory, an algorithm using the second order recursive filter and the zero factor prime radix Fourier Transform (ZFT) is presented.
从素基数DFT出发，应用数论理论讨论了一种应用二阶递归滤波结构的算法及零因子转换算法(ZFT)。
Diophantine equation is an important subject in number theory and closely connected with algebraic number theory, combinatorics, algebraic geometry and computer science etc.
丢番图方程是数论中一个十分重要的研究课题，与代数数论、组合数学、代数几何等有密切联系。
In the nineteenth century, the system of algebraic knowledge is enormous, which contains the permutation group, matrix, algebraic number theory, algebraic geometry and other branches.
十九世纪的代数学知识体系庞大，它包含置换群、矩阵、代数数论、代数几何等多个分支。
This paper sets up equivalent propositions of Goldbach's Conjecture and Twin Prime Conjecture and Fermat's Conjecture for prime numbers by using the simple result among the number theory.
文章运用数论中的一些简单结果，如辛达拉姆筛法与威尔逊定理，建立了哥德巴赫猜想、孪生素数猜想以及费马素数猜想的等价命题。
Nevertheless, using the blind number theory to describe and deal with such uncertain information can calculate a more real cost while retaining the effective information to the utmost extent.
采用盲数来描述和处理这类不确定信息可以在最大程度的保留有效信息的同时，计算出更真实的成本。
Algebra, Number Theory, Fermat's Last Theorem, etc.
代数，数论，费尔马大定理等介绍。
Introduction to Algebra, Number Theory, Fermat's Last Theorem, etc.
代数，数论，费尔马大定理等介绍。
Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography.
算法数论：格点，数域，曲线和密码系统。
Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography.
算法数论：格点，数域，曲线和密码系统。
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