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

Number Theory 2008-09-12 v1

Abstract

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 power of Dirichlet L-series at unity,using the power series in second variable of Hurwitz zeta function at unity.

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Cite

@article{arxiv.0809.2074,
  title  = {Character Average of Second and Fourth Powers of Dirichlet L-Series at Unity},
  author = {Vivek V. Rane},
  journal= {arXiv preprint arXiv:0809.2074},
  year   = {2008}
}

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13 pages