Geodesic
On a problem of Rankin about the Epstein zeta-function
Glasgow mathematical journal, Tome 4 (1959) no. 2, pp. 73-80

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

Letbe a positive definite quadratic form with determinant αβ−X2 = 1. A special form of this kind isWe consider the Epstein zeta-functionthe series converging for s > 1. For s ≥ 1·035 Rankin [1] proved the followingSTatement R.The sign of equality is needed only when h is equivalent to Q. 
Cassels, J. W. S. On a problem of Rankin about the Epstein zeta-function. Glasgow mathematical journal, Tome 4 (1959) no. 2, pp. 73-80. doi: 10.1017/S2040618500033906
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[1] 1.Rankin, R. A., A minimum problem for the Epstein zeta-function, Proc. Glasgow Math. Assoc. 1 (1953), 149–158. Google Scholar | DOI

[2] 2.Weber, H., Lehrbuch der Algebra III, especially page 526 (Braunschweig, 2te Auflage, 1908). Google Scholar

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