On various mean values of Dirichlet L-functions

• Autorzy: Takuya Okamoto , Tomokazu Onozuka
• Języki publikacji: EN

Abstrakty

EN

We give a method of obtaining explicit formulas for various mean values of Dirichlet L-functions which are expressed in terms of the Riemann zeta-function, the Euler function and Jordan's totient functions. Applying those results to mean values of Dirichlet L-functions, we also give an explicit formula for certain mean values of double Dirichlet L-functions.

Kategorie tematyczne

• 11M06: ζ ( s ) and L ( s , χ )
• 11F20: Dedekind eta function, Dedekind sums

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 167
• Numer: 2
• Strony: 101-115

Daty

wydano

2015

Twórcy

autor

Takuya Okamoto

• Department of Human Science, and Common Education, Nippon Institute of Technology, 4-1 Gakuendai Miyashiro-machi, Saitama-gun, Saitama 345-8501, Japan

autor

Tomokazu Onozuka

• Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan

Identyfikatory

DOI

10.4064/aa167-2-1