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Concept

Nombre de Mersenne premier

Cours associés (7)

COM-401: Cryptography and security

This course introduces the basics of cryptography. We review several types of cryptographic primitives, when it is safe to use them and how to select the appropriate security parameters. We detail how they work and sketch how they can be implemented. ...

MATH-521: Advanced analytic number theory

This year we will present some further applications of the theory of modular forms (compared to MATH-511). These may include the following:

Equidistribution of points on spheres
Construction of Ramanujan Graph
Invariant means on the spheres
Compl ...

MATH-313: Number theory I.b - Analytic number theory

The aim of this course is to present the basic techniques of analytic number theory. ...

COM-102: Advanced information, computation, communication II

Text, sound, and images are examples of information sources stored in our computers and/or communicated over the Internet. How do we measure, compress, and protect the informatin they contain? ...

MATH-310: Algebra

This is an introduction to modern algebra: groups, rings and fields. ...

MATH-643: Applied l-adic cohomology

In this course we will describe in numerous examples how methods from l-adic cohomology as developed by Grothendieck, Deligne and Katz can interact with methods from analytic number theory (prime numbers, modular forms etc...). ...

MATH-326: Rational quadratic forms

Given a quadratic equation, e.g. x^2 + 2*y^2 = 81, how can we decide whether there is a rational solution (x,y)? This basic question is what the theory of Rational Quadratic Forms is all about. The course gives an introduction and highlights fundamental te ...