Experimental evidence for Maeda's conjecture on modular forms

Experimental evidence for Maeda's conjecture on modular forms

We describe a computational approach to the verification of Maeda's conjecture for the Hecke operator T2 on the space of cusp forms of level one. We provide experimental evidence for all weights less than 12000, as well as some applications of these results. The algorithm was implemented using...

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Veröffentlicht in:arXiv.org 2012-11
Hauptverfasser: Ghitza, Alexandru, McAndrew, Angus
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Program verification (computers)
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Zusammenfassung:We describe a computational approach to the verification of Maeda's conjecture for the Hecke operator T2 on the space of cusp forms of level one. We provide experimental evidence for all weights less than 12000, as well as some applications of these results. The algorithm was implemented using the mathematical software Sage, and the code and resulting data were made freely available.
ISSN:2331-8422