Tag Archives: Peter Sarnak

Counting solutions to a_p = λ, Part II

This is a sequel to this post where the problem of counting eigenforms with \(a_p = \lambda\) and \(\lambda \ne 0\) was considered. Here we report on recent progress in the case \(\lambda = 0\). It is a somewhat notorious … Continue reading

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This year in Jerusalem

I just returned from spending almost a week in Jerusalem (my first ever visit to Israel). The main reason for my visit was to talk with Alex Lubotzky (and Shai Evra) about mathematics, but there was plenty of time for … Continue reading

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Abandonware

For a young mathematician, there is a lot of pressure to publish (or perish). The role of for-profit academic publishing is to publish large amounts of crappy mathematics papers, make a lot of money, but at least in return grant … Continue reading

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Counting solutions to a_p = λ

We know that the eigenvalue of \(T_2\) on \(\Delta\) is \(24.\) Are there any other level one cusp forms with the same Hecke eigenvalue? Maeda’s conjecture in its strongest form certainly implies that there does not. But what can one … Continue reading

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