On evaluation formulas for double L-values

Bulletin of the Australian Mathematical Society

Volumn 70, Issue 2, 2004, Pages 213-221

  Tsumura, Hirofumi ^a  

^a Tokyo Metropolitan Coll   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8744228065     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700034432     Document Type: Article

References (10)

1. T. Arakawa and M. Kaneko, 'On multiple L-values', J. Math. Soc. Japan (to appear).
2. D.H. Bailey, J.M. Borwein and R. Girgensohn, 'Experimental evaluation of Euler sums', Experiment. Math. 3 (1994), 17-30.
3. J.G. Huard, K.S. Williams and Z. Nan-Yue, 'On Tornheim's double series', Acta Arith. 75 (1996), 105-117.
4. K. Matsumoto, 'On Mordell-Tornheim and other multiple zeta-functions', in Proceedings of the Session in analytic number theory and Diophantine equations (Bonn, January-June 2002), (D.R. Heath-Brown and B.Z. Moroz, Editors), Bonner Mathematische Schriften 360 (Mathematisches Institut der Universität Bonn, Bonn, 2003), pp. 17.
5. L.J. Mordell, 'On the evaluation of some multiple series', J. London Math. Soc. 33 (1958), 368-371.
6. D. Terhune, Evaluations of multiple L-values, (Ph.D. Thesis) (UT-Austin, 2002).
7. D. Terhune, 'Evaluations of double L-values', J. Number Theory 105 (2004), 275-301.
8. L. Tornheim, 'Harmonic double series', Amer. J. Math. 72 (1950), 303-314.
9. H. Tsumura, 'Evaluation formulas for Tornheim's type of alternating double series', Math. Comp. 73 (2004), 251-258.
10. L.C. Washington, Introduction to the cyclotomic fields, (2nd ed.) (Springer-Verlag, New York, Berlin, Heidelberg, 1997).