On an estimate of the Kloosterman zeta function

URI http://repository.tsuyama-ct.ac.jp/metadata/815
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Title
On an estimate of the Kloosterman zeta function
Author
著者 YOSHIDA Eiji
著者(別表記)
Abstract

In this paper we state an estimate of the Kloosterman zeta function Zm,n(s, Γ). Especially we consider the case
that Γ is the Hecke congruence group Γ0(N). This case allows us to use the Weil estimate for the Kloosterman
sum. From this we can derive an estimate for a certain Dirichlet series consisting of absolute values of Kloosterman
sums. Moreover we state two estimates for the K-Bessel function K0(y). By virtue of these estimates we can
obtain an improvement for the order of |m| and |n|.

Subject
410 Mathematics
Keyword
Kloosterman sum
Kloosterman zeta function
Publish Date
2012-02-28
Publication Title
津山工業高等専門学校紀要
Publication Title Alternative
Bulletin of Tsuyama National College of Technology
Volume
53
Start Page
51
End Page
58
ISSN
02877066
Contents Type
Departmental Bulletin Paper
language
Japanese