{"product_id":"convolution-and-equidistribution-sato-t","title":"Convolution And Equidistribution Sato T","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.\u003cbr\u003e\u003cbr\u003e\u003cbr\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.\u003cbr\u003e\u003cbr\u003e\u003cbr\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":"MediaPlace","offers":[{"title":"Default Title","offer_id":57310071554430,"sku":"NW9780691153315","price":66.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1379\/1261\/files\/9780691153315.jpg?v=1778581179","url":"https:\/\/mediaplace.com\/products\/convolution-and-equidistribution-sato-t","provider":"MediaPlace","version":"1.0","type":"link"}