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Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)
Nicholas M. Katz
€ 236.29
€ 177.20
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Description for Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)
Hardback. Explores an important aspect of number theory - the theory of exponential sums over finite fields and their Mellin transforms - from a categorical point of view. This book presents fundamentally important results and a plethora of examples, opening up new directions in the subject. Series: Annals of Mathematics Studies. Num Pages: 208 pages, Illustrations. BIC Classification: PBH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 15. Weight in Grams: 485.
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. ... Read more
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. ... Read more
Product Details
Format
Hardback
Publication date
2012
Publisher
Princeton University Press United States
Number of pages
212
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
208
Place of Publication
New Jersey, United States
ISBN
9780691153308
SKU
V9780691153308
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Nicholas M. Katz
Nicholas M. Katz is professor of mathematics at Princeton University. He is the author or coauthor of six previous titles in the Annals of Mathematics Studies: "Arithmetic Moduli of Elliptic Curves "(with Barry Mazur); "Gauss Sums, Kloosterman Sums, and Monodromy Groups"; "Exponential Sums and Differential Equations"; "Rigid Local Systems"; "Twisted L-Functions and Monodromy;" and "Moments, Monodromy, and Perversity."
Reviews for Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)
"The book is written in a clear and enlightening style. The author provides the reader with many examples that are developed throughout a dozen chapters. These examples help understand and clarify the depth and the variety of applications of the beautiful main equidistribution statement that relies on rather complicated and subtle algebrageometric arguments."
Florent Jouve, Mathematical Reviews Clippings "The book provides ... Read more
Florent Jouve, Mathematical Reviews Clippings "The book provides ... Read more