RSAThe normal form and modified normal form for binary redundant representation are defined.A redundant binary algorithm to compute modular exponentiation for very large integers is proposed.It is shown that the proposed algorithm requires the minimum number of basic operations(modular multiplications)...
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The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the mod...
Solving modular linear equations(求解模线性方程)(967) 6. The Chinese remainder theorem(中文剩余定理)(971) 7. Powers of an element(元素的幂)(975) 1. Raising to powers with repeated squaring(通过重复平方求幂)(977) 8. The RSA public-key cryptosystem(Public-key cryptosystems)(980) 1. The ...
This is a preview of subscription content, log in via an institution to check access. About this book In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-...
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Recommended Lessons and Courses for You Related Lessons Related Courses Finitely Generated Abelian Group | Example & Fundamental Theorem Modular Arithmetic Overview, Rules & Examples How to Make a Cayley Table Types of Subgroups in Abstract Algebra ...
[35]MAZUR B.An introduction to the deformation theory of Galois representations,in Modular Forms and Fermat ' s Last Theorem.Springer,1997:243-311. [36]MILNE J.Michigan Math.J.46,1999:203. [37]MORISHITA M.Knots and Primes.An Introduction to Arithmetic Topology,Universitext Springer,2012. [38...
The module introduces systems of linear equations and then develops the method of Gaussian elimination, using elementary row operations, followed by back substitution, to express solutions in terms of parameters. Systems of equations are also explored and solved using modular arithmetic with respect to...
The Computer as Crucible: An Introduction to Experimental Mathematics Keith Devlin and Jonathan Borwein, two well-known mathematicians with expertise in different mathematical specialties but with a common interest in experimentation in mathematics, have joined forces to create this introduction to experim....