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Volumn 47, Issue 1-2, 2005, Pages 33-44

Linear Independence of q-Analogues of Certain Classical Constants

Author keywords

Linear Independence; Period Length; Quantitative Version; Series Representation; Small Positive Integer

Indexed keywords


EID: 33645142432     PISSN: 14226383     EISSN: 14209012     Source Type: Journal    
DOI: 10.1007/BF03323010     Document Type: Article
Times cited : (18)

References (10)
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    • J.-P. Bézivin, Indépendance linéaire des valeurs des solutions transcendantes de certaines équations fonctionnelles, Manuscripta Math. 61 (1988), l08–129
    • (1988) Manuscripta Math. , vol.61 , pp. l08-l129
    • Bézivin, J.-P.1
  • 3
    • 84974513269 scopus 로고
    • On the irrationality of certain series
    • P. B. Borwein, On the irrationality of certain series, Math. Proc. Camb. Phil. Soc. 112 (1992), 141–146
    • (1992) Math. Proc. Camb. Phil. Soc. , vol.112 , pp. 141-146
    • Borwein, P.B.1
  • 6
    • 0002353637 scopus 로고    scopus 로고
    • Modular functions and transcendence questions
    • Yu. V. Nesterenko, Modular functions and transcendence questions, Mat. Sb. 187 (1996), 65–96; Engl. transl.: Sbornik Math. 187 (1996), 1319-1348
    • (1996) Mat. Sb. , vol.187 , pp. 65-96
    • Nesterenko, Y.V.1
  • 7
    • 33645153173 scopus 로고    scopus 로고
    • Irrationality of certain Lambert series
    • Y. Tachiya, Irrationality of certain Lambert series, Tokyo J. Math. 27 (2004), 75–85
    • (2004) Tokyo J. Math. , vol.27 , pp. 75-85
    • Tachiya, Y.1
  • 8
    • 0141434457 scopus 로고    scopus 로고
    • On the irrationality measure for a q-analogue of ζ(2)
    • W. Zudilin, On the irrationality measure for a q-analogue of ζ(2), Mat. Sb. 193 (2002), 49–70; Engl. transi.: Sbornik Math. 193 (2002), 1151-1172
    • (2002) Mat. Sb. , vol.193 , pp. 49-70
    • Zudilin, W.1
  • 9
    • 18444390864 scopus 로고    scopus 로고
    • Heine’s basic transform and a permutation group for q-harmonic series
    • W. Zudilin, Heine’s basic transform and a permutation group for q-harmonic series, Acta Arith. 111 (2004), 153–164
    • (2004) Acta Arith. , vol.111 , pp. 153-164
    • Zudilin, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.