Divisor Problem and an Analogue of Euler's Summation Formula

Details Divisor Problem and an Analogue of Euler's Summation Formula Divisor Problem and an Analogue of Euler's Summation Formula

2008-09-10

arxiv.org/abs/0809.1854v2

Mathematics

Number Theory

7 Pages

Scientific paper

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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