Divisor Problem and an Analogue of Euler's Summation Formula
Number Theory
2008-09-13 v2
Abstract
By simple elementary method,we obtain with ease,a highly simple expression for the remainder term of the divisor problem and use it to obtain an Euler-Maclaurin analogue of summation involving divisor function.We also obtain a relation connecting the remainder term of the divisor problem and the remainders of approximate functional equations for Riemann zeta function and its square,for positive values of arguments.
Cite
@article{arxiv.0809.1854,
title = {Divisor Problem and an Analogue of Euler's Summation Formula},
author = {Vivek V. Rane},
journal= {arXiv preprint arXiv:0809.1854},
year = {2008}
}
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7 Pages