Evaluation formulas for Tornheim's type of alternating double series

  title={Evaluation formulas for Tornheim's type of alternating double series},
  author={Hirofumi Tsumura},
  journal={Math. Comput.},
In this paper, we give some evaluation formulas for Tornheim’s type of alternating series by an elementary and combinatorial calculation of the uniformly convergent series. Indeed, we list several formulas for them by means of Riemann’s zeta values at positive integers. 


Publications referenced by this paper.
Showing 1-7 of 7 references

On some combinatorial relations for Tornheim’s double series

H. Tsumura
Acta Arith., • 2002
View 7 Excerpts
Highly Influenced

Nan-Yue, On Tornheim’s double series

J. G. Huard, Z.K.S. Williams
Acta Arith • 1996
View 1 Excerpt

On Tornheim ’ s double series , Acta Arith

K. S. Williams, Z. Nan-Yue

Zeros of Bernoulli, generalized Bernoulli and Euler polynomials

K. Dilcher
Memoirs of A.M.S • 1988

Sitaramachandrarao, On some infinite series of L

R.M.V. Subbarao
J. Mordell and their analogues, Pacific J. Math., • 1985
View 1 Excerpt

Harmonic double series, Amer

L. Tornheim
J. Math • 1950
View 1 Excerpt

Similar Papers

Loading similar papers…