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

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

2008-01-06

arxiv.org/abs/0801.0884v1

Mathematics

Number Theory

19 pages

Scientific paper

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 all polynomials in second variable for a non positive integral argument in first variable.On using functionalequations this results in instant evaluation of Riemann Zeta function at positive even integral values of its argument and of Dirichlet L series at positive integral values of its argument,when the argument and the corresponding Dirichlet character are both even or both odd.We also obtain finite sum expression for any Dirichlet L series,when its argument is one.We also deal with Lerch's Zeta function on similar lines.

Affiliated with

Also associated with

No associations

Rating

Instant Evaluation and Demystification of $ζ(n),L(n,χ)$ that Euler,Ramanujan Missed - I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Instant Evaluation and Demystification of $ζ(n),L(n,χ)$ that Euler,Ramanujan Missed - I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Instant Evaluation and Demystification of $ζ(n),L(n,χ)$ that Euler,Ramanujan Missed - I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-507338