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2012 Experimental evidence for Maeda's conjecture on modular forms
Alexandru Ghitza, Angus McAndrew
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Tbilisi Math. J. 5(2): 55-69 (2012). DOI: 10.32513/tbilisi/1528768903

Abstract

We describe a computational approach to the verification of Maeda's conjecture for the Hecke operator $T_2$ on the space of cusp forms of level one. We provide experimental evidence for all weights less than 14000, 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.

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Alexandru Ghitza. Angus McAndrew. "Experimental evidence for Maeda's conjecture on modular forms." Tbilisi Math. J. 5 (2) 55 - 69, 2012. https://doi.org/10.32513/tbilisi/1528768903

Information

Published: 2012
First available in Project Euclid: 12 June 2018

zbMATH: 1280.11023
MathSciNet: MR3055515
Digital Object Identifier: 10.32513/tbilisi/1528768903

Subjects:
Primary: 11F25
Secondary: 11-04, 11F11

Rights: Copyright © 2012 Tbilisi Centre for Mathematical Sciences

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Vol.5 • No. 2 • 2012
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