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On a convolution of L -series
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This article is published in Inventiones Mathematicae.The article was published on 1969-12-01. It has received 69 citations till now. The article focuses on the topics: Circular convolution & Kernel (image processing).read more
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On some results of Atkin and Lehner
TL;DR: In this article, the authors prove two basic if elementary results related to the theory of automorphic forms for GL2, local and global, and there is no immediate connection between them, but they were both suggested by some results of Atkin and Lehner and Ogg [7] in the classical theory of modular forms.
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Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions: II. The order of the Fourier coefficients of integral modular forms
TL;DR: In this article, the authors consider an integral modular form of dimensions −κ, where κ > 0, and Stufe N which vanishes at all rational cusps of the fundamental region.
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Contributions to the theory of Ramanujan's function τ( n) and similar arithmetical functions
TL;DR: The notation employed is that of my second paper under the same general title as discussed by the authors, and I refer to this paper as II. The purpose of this note is to prove that the convergence of Stufe N is convergent for integral modular forms of dimensions − κ, where κ > 0, and StufE N vanishes at all rational cusps of the fundamental region, and which is absolutely convergent.