{"product_id":"convolution-and-equidistribution-sato-tate-theorems-for-finite-field-mellin-transforms-am-180-annals-of-mathematics-studies-180-0691153302","title":"Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180) (Annals of Mathematics Studies, 180)","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0691153302\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Katz, Nicholas M.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eConvolution 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.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":51959532290336,"sku":"NEW0691153302","price":94.42,"currency_code":"USD","in_stock":false}],"url":"https:\/\/miakarts.com\/products\/convolution-and-equidistribution-sato-tate-theorems-for-finite-field-mellin-transforms-am-180-annals-of-mathematics-studies-180-0691153302","provider":"Miakarts Books","version":"1.0","type":"link"}