On an approximate functional equation involving the divisor function

2014/09/22 by Ernvall-Hytönen, Anne-Maria
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1409.6274

Abstract

The error term in the approximate functional equation for exponential sums involving the divisor function will be improved under certain conditions for the parameters of the approximate functional equation.

Related

• Sur une équation fonctionnelle approchée due à J. R. Wilton
• Divisor Problem and an Analogue of Euler's Summation Formula
• A new bound for the error term in the approximate functional equation for the derivatives of the Hardy's Z-function
• Fitting a Sum of Exponentials to Numerical Data
• Approximate Functional Equation for the Product of Functions and Divisor Problem