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Volumn 106, Issue 1, 2004, Pages 155-168

Multiple harmonic series related to multiple Euler numbers

Author keywords

Bernoulli numbers; Euler numbers; Mordell Tornheim zeta functions; Multiple harmonic series; Riemann zeta function; Tornheim's double series

Indexed keywords


EID: 2342635928     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnt.2003.12.004     Document Type: Article
Times cited : (5)

References (10)
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  • 2
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    • Multiple harmonic series
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  • 3
    • 11144320586 scopus 로고    scopus 로고
    • Derivation and double shuffle relations for multiple zeta values
    • preprint
    • K. Ihara, M. Kaneko, D. Zagier, Derivation and double shuffle relations for multiple zeta values, preprint, 2003.
    • (2003)
    • Ihara, K.1    Kaneko, M.2    Zagier, D.3
  • 4
    • 8744240663 scopus 로고    scopus 로고
    • On Mordell-Tornheim and other multiple zeta-functions
    • D.R. Heath-Brown, B.Z. Moroz (Eds.), (Bonn, January-June 2002), Bonner Mathematische Schriften, Bonn
    • K. Matsumoto, On Mordell-Tornheim and other multiple zeta-functions, in: D.R. Heath-Brown, B.Z. Moroz (Eds.), Proceedings of the Session on Analytic Number Theory and Diophantine Equations (Bonn, January-June 2002), No. 25, Bonner Mathematische Schriften, Bonn, 2003, pp. 1-17.
    • (2003) Proceedings of the Session on Analytic Number Theory and Diophantine Equations , Issue.25 , pp. 1-17
    • Matsumoto, K.1
  • 5
    • 84960587646 scopus 로고
    • On the evaluation of some multiple series
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    • (1958) J. London Math. Soc. , vol.33 , pp. 368-371
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  • 6
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    • Harmonic double series
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  • 7
    • 0344497404 scopus 로고    scopus 로고
    • On alternating analogues of Tornheim's double series
    • H. Tsumura, On alternating analogues of Tornheim's double series, Proc. Amer. Math. Soc. 131 (2003) 3633-3641.
    • (2003) Proc. Amer. Math. Soc. , vol.131 , pp. 3633-3641
    • Tsumura, H.1
  • 8
    • 2342609659 scopus 로고    scopus 로고
    • Combinatorial relations for Euler-Zagier sums
    • H. Tsumura, Combinatorial relations for Euler-Zagier sums, Acta Arith. 111 (2004) 27-42.
    • (2004) Acta Arith. , vol.111 , pp. 27-42
    • Tsumura, H.1
  • 10
    • 0000507256 scopus 로고
    • Values of zeta functions and their generalizations
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    • D. Zagier, Values of zeta functions and their generalizations, in: Proceedings of the First Congress of Mathematics, Vol. II, Paris; Progr. Math. 120 (1994) 497-512.
    • (1994) Proceedings of the First Congress of Mathematics , vol.2 , pp. 497-512
    • Zagier, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.