Certain classes of rapidly convergent series representations for L(2n, x) and L(2n + 1, x)

Acta Arithmetica

Volumn 100, Issue 2, 2001, Pages 195-201

  Srivastava, H M ^a   Tsumura, Hirofumi ^b  

^a UNIVERSITY OF VICTORIA   (Canada)

^b Tokyo Metropolitan Coll   (Japan)

Author keywords

Dirichlet l functions; Gauss sum; Generating functions; Holomorphic function; Mellin transformation; Series representations

Indexed keywords

EID: 0041032482     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa100-2-6     Document Type: Article

References (6)

1. M. Katsurada, Rapidly convergent series representations for ζ(2n + 1) and their X-analogue, Acta Arith. 90 (1999), 79-89.
2. H. M. Srivastava and H. Tsumura, A certain class of rapidly convergent series representations for ζ(2n + 1), J. Comput. Appl. Math. 118 (2000), 323-335.
3. _, _, New rapidly convergent series representations for ζ(2n + 1), L(2n, X) and L(2n+ 1, X), Math. Sci. Res. Hot-Line 4 (2000), no. 7, 17-24.
4. H. Tsumura, On a p-adic interpolation of the generalized Euler numbers and its applications, Tokyo J. Math. 10 (1987), 281-293.
5. L. C. Washington, Introduction to Cyclotomic Fields, 2nd ed., Springer, New York, 1997.
6. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions, 4th ed., Cambridge Univ. Press, Cambridge, 1927.