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The average size of Ramanujan sums over quadratic number fields.

Authors :
Zhai, Wenguang
Source :
Ramanujan Journal; Dec2021, Vol. 56 Issue 3, p953-969, 17p
Publication Year :
2021

Abstract

In this paper, we study Ramanujan sums c J (I) , where I and J are integral ideals in an arbitrary quadratic number field. In particular, the asymptotic behaviour of sums of c J (I) over both I and J is investigated. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13824090
Volume :
56
Issue :
3
Database :
Complementary Index
Journal :
Ramanujan Journal
Publication Type :
Academic Journal
Accession number :
153626324
Full Text :
https://doi.org/10.1007/s11139-020-00363-x