A. Yu. Popov, The most rapid possible growth of the maximum modulus of a canonical product of noninteger order with a prescribed majorant of the counting function of zeros

Title: The most rapid possible growth of the maximum modulus of a canonical product of noninteger order with a prescribed majorant of the counting function of zeros
Authors: A. Yu. Popov
Journal title: Sbornik: Mathematics
Year: 2013
Issue: 5
Volume: 204
Pages: 683–725
Citation:

A. Yu. Popov, “The most rapid possible growth of the maximum modulus of a canonical product of noninteger order with a prescribed majorant of the counting function of zeros”, Sbornik: Mathematics, 2013, 204:5, 683–725

Abstract:

Asymptotically sharp estimates for the logarithm of the maximum modulus of a canonical product are obtained in the case when the counting function of zeros has a prescribed majorant, while the arguments of the zeros can be arbitrary.