V V Rane
Articles written in Proceedings – Mathematical Sciences
Volume 90 Issue 3 July 1981 pp 273-286
A note on the mean value of L-series
Using Hilbert’s inequality, we give a new asymptotic formula (uniform in
Volume 103 Issue 1 April 1993 pp 27-39
Dirichlet
For 0 < α < 1, let
Volume 103 Issue 2 August 1993 pp 127-133
A footnote to mean square value of Dirichlet
Following appropriate use of approximate functional equation for Hurwitz Zeta function, we obtain upper bounds for$$s(\sigma + it) = \sum\limits_{x^{(modq)} } {|L(\sigma + it,x} )|^2 $$} Here for
Volume 120 Issue 1 February 2010 pp 7-9
Dirichlet Expression for $L(1, \chi)$ with General Dirichlet Character
In the famous work of Dirichlet on class number formula, $L(s, \chi)$ at $s=1$ has been expressed as a finite sum, where $L(s, \chi)$ is the Dirichlet 𝐿-series of a real Dirichlet character. We show that this expression with obvious modification is valid for the general primitive Dirichlet character 𝜒.
Volume 133, 2023
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