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

1939/07/01 by R. A. Rankin · 3 citations

paper · doi:10.1017/s0305004100021101

Abstract

Suppose that is 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 Then where a, b, c, d are integers such that ad − bc = 1.

Cited by

• Upper Bounds for low moments of twisted Fourier coefficients of modular forms
• Explicit zero-free regions for automorphic L-functions
• On the distribution of the Fourier coefficients over two sparse sequences

Related

• Contributions to the theory of Ramanujan's function τ( n ) and similar arithmetical functions
• On some claims in Ramanujan's `unpublished' manuscript on the partition and tau functions
• Modular forms and an explicit Chebotarev variant of the Brun-Titchmarsh theorem
• Some Remarks on Small Values of τ(n)
• Arithmetic properties of the Ramanujan function