Divisor Problem and an Analogue of Euler's Summation Formula

Vivek V. Rane

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arXiv · 0809.1854

Divisor Problem and an Analogue of Euler's Summation Formula

Vivek V. Rane

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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.

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Vivek V. Rane. 2008-09-13. Divisor Problem and an Analogue of Euler's Summation Formula. https://arxiv.org/abs/0809.1854

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