Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms

by Nicholas M. Katz

Book Overview

Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view. The book presents fundamentally important results and a plethora of examples, opening up new directions in the subject.

The finite-field Mellin transform (of a function on the multiplicative group of a finite field) is defined by summing...

• Format: Paperback
• Language: English
• ISBN: 0691153310
• ISBN13: 9780691153315
• Release Date: January 2012
• Publisher: Princeton University Press
• Length: 208 Pages
• Weight: 0.70 lbs.
• Dimensions: 0.6" x 6.1" x 9.1"