Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions

Author:

Rankin R. A.

Abstract

Suppose thatis an integral modular form of dimensions −κ, where κ > 0, and Stufe N, which vanishes at all the rational cusps of the fundamental region, and which is absolutely convergent for Thenwhere a, b, c, d are integers such that ad − bc = 1.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. Ein Satz von Landau und Ikehara

2. Zur Absch�tzung der Fourierkoeffizienten ganzer Modulformen

3. Landau E. , “Über die Anzahl der Gitterpunkte in gewissen Bereichen. II”, Nachr. Ges. Wiss. Göttingen (1915), pp. 209–43.

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