Download E-books A Short Course in Automorphic Functions (Dover Books on Mathematics) PDF

This concise three-part therapy introduces undergraduate and graduate scholars to the speculation of automorphic features and discontinuous teams. writer Joseph Lehner starts via elaborating at the thought of discontinuous teams by way of the classical approach to Poincaré, using the version of the hyperbolic aircraft. the mandatory hyperbolic geometry is built within the textual content. bankruptcy develops automorphic services and varieties through the Poincaré sequence. formulation for divisors of a functionality and shape are proved and their effects analyzed. the ultimate bankruptcy is dedicated to the relationship among automorphic functionality concept and Riemann floor conception, concluding with a few functions of Riemann-Roch theorem.
The publication presupposes basically the standard first classes in advanced research, topology, and algebra. workouts diversity from regimen verifications to major theorems. Notes on the finish of every bankruptcy describe additional effects and extensions, and a thesaurus deals definitions of terms.

Show description

Read Online or Download A Short Course in Automorphic Functions (Dover Books on Mathematics) PDF

Best Calculus books

Schaum's Outlines: Laplace Transforms

Complicated Textbooks? overlooked Lectures? no longer adequate Time? thankfully for you, there is Schaum's Outlines. greater than forty million scholars have depended on Schaum's to assist them achieve the study room and on tests. Schaum's is the foremost to speedier studying and better grades in each topic. every one define offers the entire crucial direction details in an easy-to-follow, topic-by-topic structure.

Advanced Calculus Demystified

Your vital software for studying complex CALCULUS drawn to going additional in calculus yet do not the place to start? No challenge! With complex Calculus Demystified, there isn't any restrict to how a lot you are going to examine. starting with an outline of features of a number of variables and their graphs, this publication covers the basics, with no spending an excessive amount of time on rigorous proofs.

Introduction to Parallel and Vector Solution of Linear Systems (Frontiers in Computer Science)

Even supposing the origins of parallel computing return to the final century, it was once basically within the Seventies that parallel and vector pcs grew to become to be had to the clinical neighborhood. the 1st of those machines-the sixty four processor llliac IV and the vector pcs equipped by means of Texas tools, regulate info company, after which CRA Y study Corporation-had a slightly restricted effect.

Complex Manifolds without Potential Theory: with an appendix on the geometry of characteristic classes (Universitext)

From the experiences of the second one version: "The new tools of complicated manifold thought are very priceless instruments for investigations in algebraic geometry, advanced functionality idea, differential operators and so forth. The differential geometrical tools of this conception have been built primarily lower than the effect of Professor S.

Additional resources for A Short Course in Automorphic Functions (Dover Books on Mathematics)

Show sample text content

Rated 4.30 of 5 – based on 24 votes