Convolution and Equidistribution is popular PDF and ePub book, written by Nicholas M. Katz in 2012-01-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Convolution and Equidistribution can be Read Online from any device for your convenience.
Convolution and Equidistribution Book PDF Summary
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 that function against variable multiplicative characters. The basic question considered in the book is how the values of the Mellin transform are distributed (in a probabilistic sense), in cases where the input function is suitably algebro-geometric. This question is answered by the book's main theorem, using a mixture of geometric, categorical, and group-theoretic methods. By providing a new framework for studying Mellin transforms over finite fields, this book opens up a new way for researchers to further explore the subject.
Detail Book of Convolution and Equidistribution PDF
- Author : Nicholas M. Katz
- Release : 24 January 2012
- Publisher : Princeton University Press
- ISBN : 9781400842704
- Genre : Mathematics
- Total Page : 213 pages
- Language : English
- PDF File Size : 15,6 Mb
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