The maximum of cotangent sums related to Estermann's zeta function in rational numbers in short intervals

Applicable Analysis and Discrete Mathematics

article

Helmut Maier¹  Michael Th. Rassias² 

[1] Department of Mathematics, University of Ulm;Institute of Mathematics, University of Zurich, CH-8057, Zurich, Switzerland, Institute for Advanced Study, Program in Interdisciplinary Studies, 1 Einstein Dr, Princeton

关键词: Kloosterman sum;    Estermann's zeta function;    Cotangent sums;    Riemann zeta function;    Riemann Hypothesis;   

DOI  :  10.2298/AADM1701166M

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

We investigate the maximum of cotangent sums related to Estermann’s zetafunction in rational numbers in short intervals. This can be seen as a continuation of previous investigations of the authors on moments of these sums([9], [10], [11], [12], [13]).

【 授权许可】

Unknown