Geodesic
A lemma about the Epstein zeta-function
Glasgow mathematical journal, Tome 6 (1964) no. 4, pp. 198-201

Voir la notice de l'article provenant de la source Cambridge University Press

Let h (m, n) = αm2 + 2δmn + βn2 be a positive definite quadratic form with determinant αβ–δ2 = 1. It may be put in the shapewith y > 0. We write (for s > 1)The function Zn(s) may be analytically continued over the whole s-plane. Its only singularity is a simple pole with residue π at s = 1. 
Ennola, Veikko. A lemma about the Epstein zeta-function. Glasgow mathematical journal, Tome 6 (1964) no. 4, pp. 198-201. doi: 10.1017/S2040618500035024
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[1] 1.Cassels, J. W. S., On a problem of Rankin about the Epstein Zeta-function, Proc. Glasgow Math. Assoc. 4 (1959), 73–80. Google Scholar | DOI

[2] 2.Epstein, P., Zur Theorie allgemeiner Zetafunktionen, Math. Ann. 56 (1903), 615–644. Google Scholar | DOI

[3] 3.Rankin, R. A., A minimum problem for the Epstein Zeta-function, Proc. Glasgow Math. Assoc. 1 (1953), 149–158. Google Scholar | DOI

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