A variant of the Lang–Trotter conjecture

M. Ram Murty () and V. Kumar Murty ()
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M. Ram Murty: Queen’s University, Department of Mathematics
V. Kumar Murty: University of Toronto, Department of Mathematics

A chapter in Number Theory, Analysis and Geometry, 2012, pp 461-474 from Springer

Abstract: 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.

Keywords: Lang-Trotter conjecture; abc conjecture; Ramanujan τ-function; Atkin-Serre conjecture (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-1260-1_21

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DOI: 10.1007/978-1-4614-1260-1_21

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