Cyclotomic coefficients: gaps and jumps

JOURNAL OF NUMBER THEORY

卷:163

Article

Camburu, Oana-Maria¹  Ciolan, Emil-Alexandru²  Luca, Florian³  Moree, Pieter⁴  Shparlinski, Igor E.⁵ 

[1] Univ Oxford, Dept Comp Sci, Oxford OX1 3QD, England

[2] Univ Bonn, Regina Pacis Weg 3, D-53113 Bonn, Germany

[3] Univ Witwatersrand, Sch Math, Private Bag X3, ZA-2050 Johannesburg, South Africa

[4] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

[5] Univ New S Wales, Dept Pure Math, Sydney, NSW 2052, Australia

关键词: Coefficients of cyclotomic polynomials;    Products of primes;    Numerical semigroups;    Double Kloosterman sums;   

DOI  :  10.1016/j.jnt.2015.11.020

来源: Elsevier

【 摘 要 】

We improve several recent results by Hong, Lee, Lee and Park (2012) on gaps and Bzdega (2014) on jumps amongst the coefficients of cyclotomic polynomials. Besides direct improvements, we also introduce several new techniques that have never been used in this area. (c) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free