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Character Sums with Exponential Functions and their Applications.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/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. -
電子資源:	Click here to view book
ISBN:	9780511051791 (electronic bk.)

Character Sums with Exponential Functions and their Applications.
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: 9780511051791 (electronic bk.)Subjects--Topical Terms:

684899
Exponential sums.
Index Terms--Genre/Form:

554714
Electronic books.

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

Dewey Class. No.: 512.73

Character Sums with Exponential Functions and their Applications.
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245 1 0 $a Character Sums with Exponential Functions and their Applications. $h [electronic resource].
260 $a Cambridge : $c 1999. $b Cambridge University Press,
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 684899
655 7 $a Electronic books. $2 local $3 554714
700 1 $a Bollobas, B. $3 684075
700 1 $a Fulton, W. $3 684076
700 1 $a Katok, A. $3 684077
700 1 $a Kirwan, F. $3 684078
700 1 $a Sarnak, P. $3 684079
700 1 $a Shparlinski, Igor. $3 684900
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