Distribution of the eigenvalues of Hecke operators. (Russian) Zbl 1075.11031

Golubeva, E. P.

Zap. Nauchn. Semin. POMI 314, 33-40, 286 (2004); translation in J. Math. Sci., New York 133, No. 6, 1622-1626 (2006).

The results of J.-P. Serre [J. Am. Math. Soc. 10, No. 1, 75–101 (1997; Zbl 0871.11032)] and of J. B. Convey, W. Duke and D. W. Farmer [Acta Arith. 78, No. 3, 405–409 (1997; Zbl 0876.11020)] are sharpened in their quantitative aspects.

Reviewer: Meinhard Peters (Münster)

MSC:

11F25

Hecke-Petersson operators, differential operators (one variable)

Keywords:

modular forms; Hecke operators

Citations:

Zbl 0871.11032; Zbl 0876.11020