3 papers
math.NT2008
Divisor Problem and an Analogue of Euler's Summation Formula
Vivek V. Rane
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 summati…
math.NT2008
Instant Evaluation and Demystification of zeta(n),L(n,chi) that Euler,Ramanujan Missed III
Vivek V. Rane
We show that for a non-positive value of the first variable,Hurwitz zeta function becomes a polynomial in the second variable. We show this, using 'integration approach', instead o…
math.NT2008
Instant Evaluation and Demystification of zeta(n),L(n,chi) that Euler,Ramanujan Missed - II
Vivek V. Rane
For Hurwitz zeta function, we obtain power series expression in second variable for its higher order derivatives (with respect to first variable) at non-positive integer arguments…