2008/09/10 by Rane, Vivek V.
#65B15 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.0809.1854
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.