On the k-polygonal numbers and the mean value of Dedekind sums

Title:

On the k-polygonal numbers and the mean value of Dedekind sums

Creator:

Guo, Jing and Li, Xiaoxue

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:75fcbc86-26ae-4407-8b1c-679b96a08fbc
uuid:75fcbc86-26ae-4407-8b1c-679b96a08fbc
issn:0011-4642

Subject:

matematika, hodnoty, Dedekindovy okruhy, mathematics, values, Dedekind rings, Dedekind sums, mean value, computational problem, k-polygonal number, analytic method, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

For any positive integer k ≥ 3, it is easy to prove that the k-polygonal numbers are an(k) = (2n+n(n−1)(k−2))/2. The main purpose of this paper is, using the properties of Gauss sums and Dedekind sums, the mean square value theorem of Dirichlet L-functions and the analytic methods, to study the computational problem of one kind mean value of Dedekind sums S(an(k)ām(k), p) for k-polygonal numbers with 1 ≤ m, n ≤ p − 1, and give an interesting computational formula for it., Jing Guo, Xiaoxue Li., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

409-415

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:2

Harvested from:

CDK

Metadata only:

false