New PDF release: Analytic Properties of Automorphic L-Functions (Perspectives

By Stephen Gelbart,Freydoon Shahidi,J. Coates,S. Helgason

Analytic homes of Automorphic L-Functions is a three-chapter textual content that covers substantial examine works at the automorphic L-functions hooked up by means of Langlands to reductive algebraic teams.

Chapter I makes a speciality of the research of Jacquet-Langlands equipment and the Einstein sequence and Langlands’ so-called “Euler products”. This bankruptcy explains how neighborhood and worldwide zeta-integrals are used to turn out the analytic continuation and useful equations of the automorphic L-functions hooked up to GL(2). bankruptcy II offers with the advancements and refinements of the zeta-inetgrals for GL(n). bankruptcy III describes the implications for the L-functions L (s, ?, r), that are thought of within the consistent phrases of Einstein sequence for a few quasisplit reductive group.

This publication can be of worth to undergraduate and graduate arithmetic students.

Show description

Read Online or Download Analytic Properties of Automorphic L-Functions (Perspectives in Mathematics) PDF

Similar number theory books

Read e-book online Factorization: Unique and Otherwise (CMS Treatises in PDF

The idea that of factorization, wide-spread within the traditional process of complete numbers that may be written as a distinct fabricated from top numbers, performs a crucial function in glossy arithmetic and its purposes. This exposition of the vintage idea leads the reader to an knowing of the present wisdom of the topic and its connections to different mathematical strategies, for instance in algebraic quantity conception.

Download PDF by Michel Lapidus,Machiel van Frankenhuijsen: Fractal Geometry, Complex Dimensions and Zeta Functions:

Quantity concept, spectral geometry, and fractal geometry are interlinked during this examine of the vibrations of fractal strings, that's, one-dimensional drums with fractal boundary. The Riemann speculation is given a ordinary geometric reformulation in context of vibrating fractal strings, and the booklet bargains particular formulation prolonged to use to the geometric, spectral and dynamic zeta services linked to a fractal.

Carl Pomerance,Michael Th. Rassias's Analytic Number Theory: In Honor of Helmut Maier’s 60th PDF

This quantity includes a number of learn and survey papers written through essentially the most eminent mathematicians within the foreign group and is devoted to Helmut Maier, whose personal learn has been groundbreaking and deeply influential to the sector. particular emphasis is given to issues concerning exponential and  trigonometric sums and their habit briefly periods, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted top numbers, oscillation theorems for primes in mathematics progressions, inequalities concerning the distribution of primes in brief durations, the Möbius functionality, Euler’s totient functionality, the Riemann zeta functionality and the Riemann speculation.

Additional resources for Analytic Properties of Automorphic L-Functions (Perspectives in Mathematics)

Sample text

Download PDF sample

Analytic Properties of Automorphic L-Functions (Perspectives in Mathematics) by Stephen Gelbart,Freydoon Shahidi,J. Coates,S. Helgason

by Paul

Rated 4.55 of 5 – based on 11 votes