메뉴 건너뛰기




Volumn 116, Issue 1, 2006, Pages 200-229

The evaluation of Tornheim double sums, Part 1

Author keywords

Hurwitz zeta function

Indexed keywords


EID: 31044433961     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnt.2005.04.008     Document Type: Article
Times cited : (39)

References (23)
  • 1
    • 0032305601 scopus 로고    scopus 로고
    • Polygamma functions of negative order
    • V. Adamchik Polygamma functions of negative order J. Comput. Appl. Math. 100 1998 191-198
    • (1998) J. Comput. Appl. Math. , vol.100 , pp. 191-198
    • Adamchik, V.1
  • 2
    • 24144444730 scopus 로고    scopus 로고
    • Multiple Gamma function and its application to computation of series
    • V. Adamchik Multiple Gamma function and its application to computation of series Ramanujan J. 9 2005 271-288
    • (2005) Ramanujan J. , vol.9 , pp. 271-288
    • Adamchik, V.1
  • 4
    • 77955531600 scopus 로고
    • On the Hurwitz zeta function
    • B. Berndt On the Hurwitz zeta function Rocky Mountain J. 2 1972 151-157
    • (1972) Rocky Mountain J. , vol.2 , pp. 151-157
    • Berndt, B.1
  • 5
    • 0242360764 scopus 로고    scopus 로고
    • On some families of integrals solvable in terms of polygamma and negapolygamma functions
    • G. Boros O. Espinosa V. Moll On some families of integrals solvable in terms of polygamma and negapolygamma functions Integral Transforms Special Funct. 14 3 2003 187-203
    • (2003) Integral Transforms Special Funct. , vol.14 , Issue.3 , pp. 187-203
    • Boros, G.1    Espinosa, O.2    Moll, V.3
  • 7
    • 17844365426 scopus 로고    scopus 로고
    • Evaluation of Euler-Zagier sums
    • K.N. Boyadzhiev Evaluation of Euler-Zagier sums Internat. J. Math. Sci. 27 2001 407-412
    • (2001) Internat. J. Math. Sci. , vol.27 , pp. 407-412
    • Boyadzhiev, K.N.1
  • 8
    • 17844409312 scopus 로고    scopus 로고
    • Consecutive evaluation of Euler sums
    • K.N. Boyadzhiev Consecutive evaluation of Euler sums Internat. J. Math. Sci. 29 2002 555-561
    • (2002) Internat. J. Math. Sci. , vol.29 , pp. 555-561
    • Boyadzhiev, K.N.1
  • 9
    • 84963012354 scopus 로고
    • Note on the integral of the product of several Bernoulli polynomials
    • L. Carlitz Note on the integral of the product of several Bernoulli polynomials J. London Math. Soc. 34 1959 361-363
    • (1959) J. London Math. Soc. , vol.34 , pp. 361-363
    • Carlitz, L.1
  • 10
    • 0007138773 scopus 로고
    • On the evaluation of Euler sums
    • R. Crandall J. Buhler On the evaluation of Euler sums Exp. Math. 3 1994 275-285
    • (1994) Exp. Math. , vol.3 , pp. 275-285
    • Crandall, R.1    Buhler, J.2
  • 11
    • 0036092871 scopus 로고    scopus 로고
    • On some integrals involving the Hurwitz zeta function: Part 1
    • O. Espinosa V. Moll On some integrals involving the Hurwitz zeta function: Part 1 Ramanujan J. 6 2002 159-188
    • (2002) Ramanujan J. , vol.6 , pp. 159-188
    • Espinosa, O.1    Moll, V.2
  • 12
    • 0036437248 scopus 로고    scopus 로고
    • On some integrals involving the Hurwitz zeta function: Part 2
    • O. Espinosa V. Moll On some integrals involving the Hurwitz zeta function: Part 2 Ramanujan J. 6 2002 449-468
    • (2002) Ramanujan J. , vol.6 , pp. 449-468
    • Espinosa, O.1    Moll, V.2
  • 14
    • 31044433539 scopus 로고    scopus 로고
    • The evaluation of Tornheim double sums, Part 2
    • in preparation
    • O. Espinosa, V. Moll, The evaluation of Tornheim double sums, Part 2, in preparation.
    • Espinosa, O.1    Moll, V.2
  • 15
    • 33947630779 scopus 로고    scopus 로고
    • m/6 ln Γ(z)dz. In Special functions. q -series and related topics
    • M. Ismail D. Masson M. Rahman The Fields Institute Communications AMS Providence, RI
    • m/6 ln Γ(z)dz. In Special functions. q -series and related topics in: M. Ismail D. Masson M. Rahman The Fields Institute Communications 1997 AMS Providence, RI 71-76
    • (1997) , pp. 71-76
    • Gosper Jr., R.Wm.1
  • 18
    • 85201598519 scopus 로고    scopus 로고
    • On the analytic continuation of various multiple zeta-functions
    • M.A. Bennett et al. (Eds.) Proceedings of the Millenium Conference on Number Theory A.K. Peters
    • K. Matsumoto On the analytic continuation of various multiple zeta-functions in: M.A. Bennett et al. (Eds.) Number Theory for the Millenium II, Proceedings of the Millenium Conference on Number Theory 2002 A.K. Peters 417-440
    • (2002) Number Theory for the Millenium II , pp. 417-440
    • Matsumoto, K.1
  • 20
    • 0011352519 scopus 로고
    • Harmonic double series
    • L. Tornheim Harmonic double series Amer. J. Math. 72 1950 303-314
    • (1950) Amer. J. Math. , vol.72 , pp. 303-314
    • Tornheim, L.1
  • 21
    • 2142665773 scopus 로고    scopus 로고
    • On Witten's type zeta values attached to SO(5)
    • H. Tsumura On Witten's type zeta values attached to SO(5) Arch. Math. 82 2004 145-152
    • (2004) Arch. Math. , vol.82 , pp. 145-152
    • Tsumura, H.1
  • 22
    • 0003957510 scopus 로고
    • Cambridge, MA: Fourth ed. reprinted Cambridge University Press
    • E. Whittaker, G. Watson, A Course of Modern Analysis, fourth ed., reprinted, Cambridge University Press, Cambridge, MA, 1963.
    • (1963) A Course of Modern Analysis
    • Whittaker, E.1    Watson, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.