arXiv:2401.05052 Abstract | arXiv Analytics

arXiv:2401.05052 [math.NT]Abstract References Reviews Resources

Moments of Averages of Ramanujan Sums over Number Fields

Published 2024-01-10Version 1

Assuming the generalized Lindel\"of hypothesis, we provide asymptotic formulas for the mean values of the first and second moments of Ramanujan sums over any number field. Additionally, unconditionally, we estimate the second moment of Ramanujan sums over cyclotomic number fields.

Comments: 15 pages. arXiv admin note: text overlap with arXiv:2109.09398

Categories: math.NT

Subjects: 11M06, 11R18, 11N37

Keywords: ramanujan sums, second moment, cyclotomic number fields, mean values, asymptotic formulas

Related articles: Most relevant | Search more

arXiv:1202.5778 [math.NT] (Published 2012-02-26)

Ideal class groups of cyclotomic number fields II

Franz Lemmermeyer

arXiv:1202.5777 [math.NT] (Published 2012-02-26)

Ideal class groups of cyclotomic number fields I

Franz Lemmermeyer

arXiv:1408.3991 [math.NT] (Published 2014-08-18)