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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Constructing class invariants


Author: Aristides Kontogeorgis
Journal: Math. Comp. 83 (2014), 1477-1488
MSC (2010): Primary 11R29, 11R37, 11Y40; Secondary 11R34
Published electronically: September 4, 2013
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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
Email: kontogar@math.uoa.gr

DOI: http://dx.doi.org/10.1090/S0025-5718-2013-02769-X
PII: S 0025-5718(2013)02769-X
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
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.