We implement the arithmetical operations modulo m, such as addition, subtraction, multiplication, and division. Basic concepts of number theory, like the order of an element, quadratic residues, and...doi:10.1007/978-3-642-14764-7_39Jrg ArndtSpringer Berlin Heidelberg...
提出了一种全新的基于模数运算的盲检测音频水印算法. 互联网 In this thesis, the basic concepts of cryptogram including number theory andmodular arithmeticare 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. 互联网 行业词典 计算机 模算术,模运算...
n. A form of integer arithmetic in which all integers having the same remainder when divided by a given natural number (called the modulus) are considered equivalent: Clocks use modular arithmetic with modulus 12, so 4 hours after 9 o'clock is 1 o'clock. ...
Modular ArithmeticModular arithmetic is the arithmetic of congruences, sometimes known informally as "clock arithmetic." In modular arithmetic, numbers "wrap around" upon reaching a given fixed quantity, which is known as the modulus (which would be 12 in the case of hours on a clock, or 60...
Mathematics - Number TheoryMathematics - Algebraic GeometryClassical modular curves are of deep interest in arithmetic geometry. In thissurvey we show how the work of Fumiyuki Momose is involved in order to list theclassical modular curves which satisfy that the set of quadratic points over$\\...
As the first step, the exponent d can be written in the binary form, that is, d is written as the sum of terms, each in the form of 2k, where k is a nonnegative integer. As the second step, the product property of modular arithmetic is used to reduce the number of calculations....
Montgomery multiplicationand fastmodulo / division / divisibility checksfor when the divisor is constant (which can often be used to speed up modular arithmetic by 5-15x); how to use them in variousfactorization algorithms(upd: fixed link) (writing a 3x-faster-than-state-of-the-art implementati...
and less arithmetic, and the modular symbols used closed paths in \({\gamma \backslash {\mathbb h}}\) . however, in theorem 1.7 we need to combine statistics from various cusps, since not all rational cusps are equivalent to \(\infty \) for \(\gamma _0(q)\) . moreover, we ...
Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known alg...
Mathematics - Number Theory11G5011G1811M36Let $N$ be an odd and squarefree positive integer divisible by at least two relative prime integers bigger or equal than 4. Our main theorem is an asymptotic formula solely in terms of $N$ for the stable arithmetic self-intersection number of the ...