Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)
Paperback
Publication Date: 24/01/2012
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.
- ISBN:
- 9780691153315
- 9780691153315
- Category:
- Number theory
- Format:
- Paperback
- Publication Date:
- 24-01-2012
- Language:
- English
- Publisher:
- Princeton University Press
- Country of origin:
- United States
- Pages:
- 208
- Dimensions (mm):
- 235x152x15mm
- Weight:
- 0.03kg
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You can find this item in:
Mathematics
Algebraic geometry
Groups & group theory
Number theory
Calculus
Probability & statistics
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