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Lecture

Integration on H_pxH and Arithmetic

In course

MATH-417: Number theory II.c - Selected topics

pas donné en 2025-2026 ...

Description

This lecture covers the integration on H_pxH and arithmetic aspects related to Gauss norms, adelic numbers, and algebraic structures. It discusses properties of norms, the structure of products, and the decomposition of polynomials. The lecture also explores the concept of monic and irreducible polynomials, the Eisenstein criterion, and the implications for factorization in different fields.

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Instructor

Philippe Michel

Ph. Michel's main research interest lie in the field of analytic number theory and range over a variety of techniques and methods which include: arithmetic geometry, exponential sums, sieve methods, automorphic forms and allied representations, L-functions and more recently ergodic theory. Ph. Michel is a former student of ENS Cachan and obtained his PhD in Universté Paris XI in 1995 under the guidance of E. Fouvry. From 1995 to 1998 he was maître de conférence at Universté Paris XI and full professor at Université Montpellier II until 2008 then when he joined EPFL. Ph. Michel was awarded the Peccot-Vimont prize, has been member of the Institut Universitaire de France and wa invited speaker at the 2006 International Congress of Mathematician.

Official source

Ontological neighbourhood

Mathematics

Analysis: Numerical analysis

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