A generalization of Knopp’s Observation on Ramanujan’s tau-function View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2016-11

AUTHORS

Wladimir de Azevedo Pribitkin

ABSTRACT

We establish a vast generalization of an observation made by Marvin Knopp half a century ago concerning the nonvanishing of Ramanujan’s tau-function.

PAGES

519-542

References to SciGraph publications

  • 1967-12. Hecke operators on congruence subgroups of the modular group in MATHEMATISCHE ANNALEN
  • 1932-12. Über die Entwicklungskoeffizienten der automorphen Formen in ACTA MATHEMATICA
  • 1981-12. Quelques applications du théorème de densité de Chebotarev in PUBLICATIONS MATHÉMATIQUES DE L'IHÉS
  • 2000-12. Revisiting Rademacher's Formula for the Partition Function p(n in THE RAMANUJAN JOURNAL
  • 2008. Elliptic Modular Forms and Their Applications in THE 1-2-3 OF MODULAR FORMS
  • 2003-03. On the Signs of Fourier Coefficients of Cusp Forms in THE RAMANUJAN JOURNAL
  • 1949-12. Invarianten linearer Differentialgleichungen in ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITÄT HAMBURG
  • 1977. Galois representations attached to eigenforms with nebentypus in MODULAR FUNCTIONS OF ONE VARIABLE V
  • 1981. Gaps in the Fourier series of automorphic forms in ANALYTIC NUMBER THEORY
  • 1955-12. Über automorphe Formen mit Singularitäten im Diskontinuitätsgebiet in MATHEMATISCHE ANNALEN
  • Journal

    TITLE

    The Ramanujan Journal

    ISSUE

    1-3

    VOLUME

    41

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11139-015-9756-y

    DOI

    http://dx.doi.org/10.1007/s11139-015-9756-y

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1033951099


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