Convolution and Equidistribution
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 fun…
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Produktdetails
- ISBN: 978-1-4008-4270-4
- EAN: 9781400842704
- Produktnummer: 13911229
- Verlag: Princeton University Press
- Sprache: Englisch
- Erscheinungsjahr: 2012
- Seitenangabe: 208 S.
- Plattform: EPUB
- Masse: 0 KB
Über den Autor
Nicholas M. Katz
24 weitere Werke von Nicholas M. Katz:
Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
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