Automorphic Forms and Representations (Cambridge Studies in by Daniel Bump

By Daniel Bump

Intermediate in point among a complicated textbook and a monograph, this booklet covers either the classical and illustration theoretic perspectives of automorphic types in a method that's available to graduate scholars getting into the sphere. The therapy is predicated on entire proofs, which show the distinctiveness rules underlying the fundamental buildings. The e-book gains wide foundational fabric at the illustration conception of GL(1) and GL(2) over neighborhood fields, the idea of automorphic representations, L-functions and complex issues similar to the Langlands conjectures, the Weil illustration, the Rankin–Selberg technique and the triple L-function, analyzing this subject material from many alternative and complementary viewpoints. Researchers in addition to scholars will locate this a helpful advisor to a notoriously tricky subject.

Show description

Read or Download Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics) PDF

Best number theory books

Graph Partitioning

Graph partitioning is a theoretical topic with functions in lots of parts, largely: numerical research, courses mapping onto parallel architectures, photo segmentation, VLSI layout. over the last forty years, the literature has strongly elevated and large advancements were made. This e-book brings jointly the information amassed in the course of a long time to extract either theoretical foundations of graph partitioning and its major purposes.

Concise Computer Mathematics: Tutorials on Theory and Problems (SpringerBriefs in Computer Science)

Tailored from a modular undergraduate path on computational arithmetic, Concise desktop arithmetic can provide an simply obtainable, self-contained advent to the fundamental notions of arithmetic invaluable for a working laptop or computer technology measure. The textual content displays the necessity to fast introduce scholars from quite a few academic backgrounds to a few crucial mathematical innovations.

Algebraic Number Theory (Springer Undergraduate Mathematics Series)

The technical problems of algebraic quantity thought usually make this topic seem tricky to newcomers. This undergraduate textbook offers a welcome option to those difficulties because it presents an approachable and thorough creation to the subject. Algebraic quantity concept takes the reader from designated factorisation within the integers via to the modern day quantity box sieve.

A Brief History of Numbers

The realm round us is saturated with numbers. they seem to be a basic pillar of our glossy society, and accredited and used with rarely a moment notion. yet how did this situation end up? during this publication, Leo Corry tells the tale in the back of the assumption of quantity from the early days of the Pythagoreans, up till the flip of the 20th century.

Extra resources for Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics)

Example text

Download PDF sample

Rated 4.63 of 5 – based on 24 votes