Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms
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.
1110926377
Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms
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.
252.0
In Stock
5
1
Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms
208
Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms
208
252.0
In Stock
Product Details
| ISBN-13: | 9780691153308 |
|---|---|
| Publisher: | Princeton University Press |
| Publication date: | 01/24/2012 |
| Series: | Annals of Mathematics Studies , #180 |
| Pages: | 208 |
| Product dimensions: | 6.40(w) x 9.40(h) x 0.70(d) |
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