Derived Hecke algebra for weight one forms
Number Theory
2017-06-13 v1
Abstract
We study the action of the derived Hecke algebra on the space of weight one forms. By analogy with the topological case, we formulate a conjecture relating this to a certain Stark unit. We verify the truth of the conjecture numerically, for the weight one forms of level and , and many derived Hecke operators at primes less than . Our computation depends in an essential way on Merel's evaluation of the pairing between the Shimura and cuspidal subgroups of .
Cite
@article{arxiv.1706.03417,
title = {Derived Hecke algebra for weight one forms},
author = {Michael Harris and Akshay Venkatesh},
journal= {arXiv preprint arXiv:1706.03417},
year = {2017}
}