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arXiv · 1304.0101

On the action of Hecke operators on Drinfeld modular forms

Kirti Joshi·Aleksandar Petrov
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Abstract

In this paper we determine the explicit structure of the semisimple part of the Hecke algebra that acts on Drinfeld modular forms of full level modulo T . We use computations of the Hecke action modulo T to find Drinfeld modular forms that cannot be eigenforms. Finally, we conjecture that the Hecke algebra that acts on Drinfeld modular forms of full level is not smooth for large weight.

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Kirti Joshi, Aleksandar Petrov. 2013-06-20. On the action of Hecke operators on Drinfeld modular forms. https://doi.org/10.1016/j.jnt.2013.11.010

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