The trace of T2 takes no repeated values
Abstract
We prove that the trace of the Hecke operator T2 acting on the vector space of cusp forms of level one takes no repeated values, except for 0, which only occurs when the space is trivial.
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We prove that the trace of the Hecke operator T2 acting on the vector space of cusp forms of level one takes no repeated values, except for 0, which only occurs when the space is trivial.