×

Addendum to “On the mean square average of special values of \(L\)-functions”. (English) Zbl 1262.11082

From the text: The author was informed that the results in his paper [J. Number theory 131, No. 8, 1470–1485 (2011; Zbl 1237.11037)] were already obtained by S. Louboutin in [Can. Math. Bull. 36, 190–196 (1993; Zbl 0802.11032)] and [Colloq. Math. 90, No. 1, 69–76 (2001; Zbl 1013.11049)]. However the methods used in the author’s paper for obtaining these results are new and different from those of Louboutin’s.

MSC:

11M06 \(\zeta (s)\) and \(L(s, \chi)\)
11L05 Gauss and Kloosterman sums; generalizations
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Alkan, E., On the mean square average of special values of \(L\)-functions, J. Number Theory, 131, 1470-1485 (2011) · Zbl 1237.11037
[2] Louboutin, S., Quelques formules exactes pour des moyennes de fonctions \(L\) de Dirichlet, Canad. Math. Bull., 36, 190-196 (1993) · Zbl 0802.11032
[3] Louboutin, S., The mean value of \(| L(k, \chi) |^2\) at positive rational integers \(k \geqslant 1\), Colloq. Math., 90, 69-76 (2001) · Zbl 1013.11049
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.