Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions
نویسندگان
چکیده
منابع مشابه
Gaussian Distribution for the Divisor Function and Hecke Eigenvalues in Arithmetic Progressions
We show that, in a restricted range, the divisor function of integers in residue classes modulo a prime follows a Gaussian distribution, and a similar result for Hecke eigenvalues of classical holomorphic cusp forms. Furthermore, we obtain the joint distribution of these arithmetic functions in two related residue classes. These results follow from asymptotic evaluations of the relevant moments...
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2014
ISSN: 0010-2571
DOI: 10.4171/cmh/342