{"product_id":"9781400842704","title":"Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)","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\u003cbr\u003e\u003cp\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.\u003c\/p\u003e\u003cbr\u003e\u003cp\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.\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":47151993880816,"sku":"9781400842704","price":90.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781400842704_p0.jpg?v=1763712603","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781400842704","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}