Asymptotic expansions of the mean values of Dirichlet L-functions III

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Asymptotic formulas for certain mean square of Dirichlet L-functions and their derivatives are considered. The main tool of our proof is a suitably modified delicate lemma of F. V. Atkinson (Lemma 2.3) which asymptotically evaluates certain exponential integrals.

Original languageEnglish
Pages (from-to)425-442
Number of pages18
JournalManuscripta Mathematica
Volume83
Issue number1
DOIs
Publication statusPublished - 1994 Dec
Externally publishedYes

Fingerprint

Dirichlet L-function
Mean Value
Asymptotic Expansion
Lemma
Exponential Integral
Asymptotic Formula
Mean Square
Derivative
Evaluate

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Asymptotic expansions of the mean values of Dirichlet L-functions III. / Katsurada, Masanori.

In: Manuscripta Mathematica, Vol. 83, No. 1, 12.1994, p. 425-442.

Research output: Contribution to journalArticle

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