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A weighted weyl law for the modular surface

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4 Scopus citations

Abstract

In this paper, we will prove a Weyl law for the modular surface weighted by the first Fourier coefficient of the Maass cusp forms. Our error term corresponds to the best known error term in the Weyl law and improves a previous result of Kuznetsov.

Original languageEnglish
Pages (from-to)241-248
Number of pages8
JournalInternational Journal of Number Theory
Volume7
Issue number1
DOIs
StatePublished - Feb 2011

Keywords

  • Kuznetsov formula
  • Weyl law

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