Mathematical Conferences Niš, Serbia, 13th Serbian Mathematical Congress

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On Tong’s method and its applications
Wenguang Zhai

Last modified: 2014-01-29

Abstract


In 1956 Tong studied the mean square of the error term in the general Piltz divisor problem and established a true asymptotic formula in the three-dimensional case. In this talk I will describe Tong's method for a class of general arithmetic functions. Some applications will be given.

Keywords


mean square, Voronoi formula, divisor function, Riemann zeta-function