Cyclotomic coefficients: gaps and jumps

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• 作者：Oana-Maria Camburu^a ; ^{oana-maria.camburu@cs.ox.ac.uk" class="auth_mail" title="E-mail the corresponding author} ; Emil-Alexandru Ciolan^b ; ^{ciolan@uni-bonn.de" class="auth_mail" title="E-mail the corresponding author} ; Florian Luca^c ; ^{florian.luca@wits.ac.za" class="auth_mail" title="E-mail the corresponding author} ; Pieter Moree^d ; ^{moree@mpim-bonn.mpg.de" class="auth_mail" title="E-mail the corresponding author} ; Igor E. Shparlinski^e ; ^{igor.shparlinski@unsw.edu.au" class="auth_mail" title="E-mail the corresponding author}
• 关键词：11B83 ; 11L07 ; 11N25
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：163
• 期：Complete
• 页码：211-237
• 全文大小：440 K

文摘

We improve several recent results by Hong, Lee, Lee and Park (2012) on gaps and Bzdȩga (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.