On Tornheim's double series

• Autorzy: James G. Huard , Kenneth S. Williams , Zhang Nan-Yue
• Języki publikacji: EN

Słowa kluczowe

EN

Tornheim's double series; Riemann zeta function

Kategorie tematyczne

• 40B05: Multiple sequences and series (should also be assigned at least one other classification number in this section)
• 11M06: ζ ( s ) and L ( s , χ )
• 40A05: Convergence and divergence of series and sequences
• 33E20: Other functions defined by series and integrals
• 30B99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1996
• Tom: 75
• Numer: 2
• Strony: 105-117

Daty

wydano

1996

otrzymano

1995-05-16

poprawiono

1995-08-04

Twórcy

autor

James G. Huard

• Department of Mathematics, Canisius College, Buffalo, New York 14208, U.S.A.

autor

Kenneth S. Williams

• Centre for Research in Algebra and Number Theory, Department of Mathematics and Statistics, Carleton University Ottawa, Ontario, Canada K1S 5B6

autor

Zhang Nan-Yue

• Information Department, The People's University of China, Beijing, People's Republic of China 100872

Bibliografia

• [1] H. W. Gould, Combinatorial Identities, Morgantown, W.Va., 1972.
• [2] L. J. Mordell, On the evaluation of some multiple series, J. London Math. Soc. 33 (1958), 368-371.
• [3] N. Nielsen, Die Gammafunktion, Chelsea, Bronx, 1965.
• [4] J. Riordan, Combinatorial Identities, Wiley, New York, 1968.
• [5] M. V. Subbarao and R. Sitaramachandrarao, On some infinite series of L. J. Mordell and their analogues, Pacific J. Math. 119 (1985), 245-255.
• [6] L. Tornheim, Harmonic double series, Amer. J. Math. 72 (1950), 303-314.