{"product_id":"convolution-and-equidistribution-nicholas-m-katz-9780691153315","title":"Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms","description":"\u003cp\u003e\u003ci\u003eConvolution and Equidistribution\u003c\/i\u003e 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e 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. \u003cp\u003e\u003c\/p\u003e 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Nicholas M. Katz\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691153310\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691153315\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/24\/2012\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 208\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.70lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 0.60d","brand":"Nicholas M. Katz","offers":[{"title":"Paperback","offer_id":48136144126207,"sku":"9780691153315","price":110.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_1d9ca308-4991-48a3-bd90-e2aae9371429.jpg?v=1770160806","url":"https:\/\/www.whiterainbookhouse.com\/products\/convolution-and-equidistribution-nicholas-m-katz-9780691153315","provider":"WR Book House","version":"1.0","type":"link"}