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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Constructing class invariants
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by Aristides Kontogeorgis PDF
Math. Comp. 83 (2014), 1477-1488 Request permission

Abstract:

Shimura reciprocity law allows us to verify that a modular function gives rise to a class invariant. Here we present a new method based on Shimura reciprocity that allows us not only to verify but to find new class invariants from a modular function of level $N$.
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Additional Information
  • Aristides Kontogeorgis
  • Affiliation: University of Athens, Panepistimioupolis 15784, Athens, Greece
  • MR Author ID: 638098
  • ORCID: 0000-0002-6869-8367
  • Email: kontogar@math.uoa.gr
  • Received by editor(s): June 7, 2012
  • Received by editor(s) in revised form: October 30, 2012, and November 14, 2012
  • Published electronically: September 4, 2013
  • Additional Notes: This research has been co-financed by the European Union (European Social Fund - ESF) and Greek national funds through the Operational Program “Education and Lifelong Learning” of the National Strategic Reference Framework (NSRF) - Research Funding Program: THALES: Reinforcement of the interdisciplinary and/or inter-institutional research and innovation
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 83 (2014), 1477-1488
  • MSC (2010): Primary 11R29, 11R37, 11Y40; Secondary 11R34
  • DOI: https://doi.org/10.1090/S0025-5718-2013-02769-X
  • MathSciNet review: 3167467