Abstract
In 1976, Serge Lang and Hale Trotter formulated general conjectures about the value distribution of traces of Frobenius automorphisms acting on an elliptic curve. In this paper, we study a modular analog. More precisely, we consider the distribution of values of Fourier coefficients of Hecke eigenforms of weight k ≥ 4.
Mathematics Subject Classification (2010): 11F03, 11F30
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in memory of Serge Lang
Research of both authors partially supported by NSERC grants.
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Murty, M.R., Murty, V.K. (2012). A variant of the Lang–Trotter conjecture. In: Goldfeld, D., Jorgenson, J., Jones, P., Ramakrishnan, D., Ribet, K., Tate, J. (eds) Number Theory, Analysis and Geometry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-1260-1_21
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