The trace of $T_2$ takes no repeated values

DOI10.1016/J.INDAG.2022.03.005arXiv2202.03461WikidataQ113872388 ScholiaQ113872388MaRDI QIDQ6390416

Liubomir Chiriac, Andrei Jorza

Publication date: 7 February 2022

Abstract: We prove that the trace of the Hecke operator $T_2$ 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.

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (several variables) (11F60) Linear forms in logarithms; Baker's method (11J86)

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