{"product_id":"convolution-and-equidistribution-sato-tate-theorems-for-finite-field-mellin-transforms","title":"Convolution and Equidistribution – Sato–Tate Theorems for Finite–Field Mellin Transforms","description":"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.","brand":"Gardners","offers":[{"title":"Default Title","offer_id":57481570156917,"sku":"9780691153315","price":92.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0612\/7193\/3106\/files\/9780691153315.jpg?v=1786089842","url":"https:\/\/backstory.london\/products\/convolution-and-equidistribution-sato-tate-theorems-for-finite-field-mellin-transforms","provider":"Backstory","version":"1.0","type":"link"}