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2012•arXiv (Cornell University)Open access

A possible generalization of Maeda's conjecture

Panagiotis Tsaknias

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Abstract

We report on observations we made on computational data that suggest a generalization of Maeda's conjecture regarding the number of Galois orbits of newforms of level $N = 1$, to higher levels. They also suggest a possible formula for this number in many of these cases.

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What this paper is about

We report on observations we made on computational data that suggest a generalization of Maeda's conjecture regarding the number of Galois orbits of newforms of level $N = 1$, to higher levels. They also suggest a possible formula for this number in many of these cases.

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Available abstract

We report on observations we made on computational data that suggest a generalization of Maeda's conjecture regarding the number of Galois orbits of newforms of level $N = 1$, to higher levels. They also suggest a possible formula for this number in many of these cases.

Key concepts: Conjecture, Generalization, Mathematics, Physics, Theoretical physics, Pure mathematics, Mathematical analysis

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