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Convolution and Equidistribution - 9780691153308
Un libro in lingua di Katz edito da UNIVERSITY PRESSES, 2012
- € 217.80
- Il prezzo è variabile in funzione del cambio della valuta d’origine
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.
Informazioni bibliografiche
- Titolo del Libro in lingua: Convolution and Equidistribution
- Lingua: English
- Autore: Katz
- Editore: UNIVERSITY PRESSES
- Data di Pubblicazione: 26 Febbraio '12
- Genere: Lingua Inglese
- EAN-13: 9780691153308