V. Rane

most citedCharacter Average of Second and Fourth Powers of Dirichlet L-Series at Unity

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.NT2008★ 1 cited

Character Average of Second and Fourth Powers of Dirichlet L-Series at Unity

Vivek V. Rane

We obtain by simple elementary method, the character average of fourth power of Dirichlet L-series at unity.This result seems to be new.We also obtain character average of second p…

math.NT2008

Instant Evaluation and Demystification of $ζ (n), L (n, χ)$ that Euler,Ramanujan Missed - I

Vivek V. Rane

For Hurwitz Zeta function,we consider its Taylor series expansion about various points as an analytic function of second variable in appropriate discs.We show that these Taylor are…

math.NT2003

Analogues of Euler and Poisson summation formulae

Vivek V Rane

Euler--Maclaurin and Poisson analogues of the summations $\sum_{a < n \leq b} χ (n) f (n)$ , $\sum_{a < n \leq b} d (n) f (n)$ , $\sum_{a < n \leq b} d (n) χ (n) f (n)$ have been obtained i…

Character Average of Second and Fourth Powers of Dirichlet L-Series at Unity

Instant Evaluation and Demystification of ζ(n),L(n,χ) that Euler,Ramanujan Missed - I

Analogues of Euler and Poisson summation formulae

Instant Evaluation and Demystification of $ζ (n), L (n, χ)$ that Euler,Ramanujan Missed - I