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Character Sums with Exponential Func...

Bollobas, B.

Character Sums with Exponential Functions and their Applications.[electronic resource].

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512.73
書名/作者:	Character Sums with Exponential Functions and their Applications.
作者:	Konyagin, Sergei.
其他作者:	Bollobas, B.
出版者:	Cambridge : : Cambridge University Press,, 1999.
面頁冊數:	173 p.
標題:	Exponential sums.
ISBN:	9780511542930 (electronic bk.)
ISBN:	9780521642637 (print)
內容註:	Cover; Half-title; Title; Copyright; Contents; Preface; Acknowledgement; 1 Introduction; 2 Notation and Auxiliary Results; 3 Bounds of Long Character Sums; 4 Bounds of Short Character Sums; 5 Bounds of Character Sums for Almost All Moduli; 6 Bounds of Gaussian Sums; 7 Multiplicative Translations of Subgroups of…; 8 Multiplicative Translations of Arbitrary Sets Modulo p; 9 Representatives of Residue Classes; 10 Cyclotomic Fields and Gaussian Periods; 11 Prediction of Pseudo-Random Number Generators; 12 Congruential Pseudo-Random Number Generators; 13 Small mth Roots Modulo p
摘要、提要註:	The theme of this book is the distribution of integer powers modulo a prime number. It provides numerous new links between number theory and computer science as well as other areas of mathematics. Applications include (but are not limited to) complexity theory, random number generation, cryptography, and coding theory.
電子資源:	Click here to view book

Character Sums with Exponential Functions and their Applications.[electronic resource].
Konyagin, Sergei.

Character Sums with Exponential Functions and their Applications.[electronic resource]. - Cambridge :Cambridge University Press,1999. - 173 p.

Cover; Half-title; Title; Copyright; Contents; Preface; Acknowledgement; 1 Introduction; 2 Notation and Auxiliary Results; 3 Bounds of Long Character Sums; 4 Bounds of Short Character Sums; 5 Bounds of Character Sums for Almost All Moduli; 6 Bounds of Gaussian Sums; 7 Multiplicative Translations of Subgroups of…; 8 Multiplicative Translations of Arbitrary Sets Modulo p; 9 Representatives of Residue Classes; 10 Cyclotomic Fields and Gaussian Periods; 11 Prediction of Pseudo-Random Number Generators; 12 Congruential Pseudo-Random Number Generators; 13 Small mth Roots Modulo p

The theme of this book is the distribution of integer powers modulo a prime number. It provides numerous new links between number theory and computer science as well as other areas of mathematics. Applications include (but are not limited to) complexity theory, random number generation, cryptography, and coding theory.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511542930 (electronic bk.)Subjects--Topical Terms:

566492
Exponential sums.
Index Terms--Genre/Form:

336502
Electronic books.

LC Class. No.: QA246.7 .K66 1999eb

Dewey Class. No.: 512.73

Character Sums with Exponential Functions and their Applications.[electronic resource].
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100 1 $a Konyagin, Sergei. $3 566490
245 1 0 $a Character Sums with Exponential Functions and their Applications. $h [electronic resource].
260 $a Cambridge : $b Cambridge University Press, $c 1999.
300 $a 173 p.
505 0 $a Cover; Half-title; Title; Copyright; Contents; Preface; Acknowledgement; 1 Introduction; 2 Notation and Auxiliary Results; 3 Bounds of Long Character Sums; 4 Bounds of Short Character Sums; 5 Bounds of Character Sums for Almost All Moduli; 6 Bounds of Gaussian Sums; 7 Multiplicative Translations of Subgroups of…; 8 Multiplicative Translations of Arbitrary Sets Modulo p; 9 Representatives of Residue Classes; 10 Cyclotomic Fields and Gaussian Periods; 11 Prediction of Pseudo-Random Number Generators; 12 Congruential Pseudo-Random Number Generators; 13 Small mth Roots Modulo p
505 8 $a 14 Supersingular Hyperelliptic Curves15 Distribution of Powers of Primitive Roots; 16 Difference Sets in V; 17 Dimension of BCH Codes; 18 An Enumeration Problem in Finite Fields; Bibliography; Index
520 $a The theme of this book is the distribution of integer powers modulo a prime number. It provides numerous new links between number theory and computer science as well as other areas of mathematics. Applications include (but are not limited to) complexity theory, random number generation, cryptography, and coding theory.
533 $a Electronic reproduction. $n Available via World Wide Web.
538 $a Mode of access: World Wide Web.
650 4 $a Exponential sums. $3 566492
655 7 $a Electronic books. $2 local $3 336502
700 1 $a Bollobas, B. $3 380635
700 1 $a Fulton, W. $3 380636
700 1 $a Katok, A. $3 380637
700 1 $a Kirwan, F. $3 380638
700 1 $a Sarnak, P. $3 380639
700 1 $a Shparlinski, Igor. $3 566491
710 2 $a Ebooks Corporation. $3 380544
776 1 $z 9780521642637
856 4 0 $z Click here to view book $u http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511542930

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