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Volumn 107, Issue 4, 2002, Pages 463-477

Remarks on irrationality of q-harmonic series

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Indexed keywords


EID: 0036017405     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002290200249     Document Type: Article
Times cited : (11)

References (16)
  • 1
    • 0013077608 scopus 로고    scopus 로고
    • q-apéry irrationality proofs by q-WZ pairs
    • Amdeberhan, T., Zeilberger, D.: q-Apéry irrationality proofs by q-WZ pairs. Adv. Appl. Math. 20, 275-283 (1998)
    • (1998) Adv. Appl. Math. , vol.20 , pp. 275-283
    • Amdeberhan, T.1    Zeilberger, D.2
  • 2
    • 0035730590 scopus 로고    scopus 로고
    • Little q-legendre polynomials and irrationality of certain Lambert series
    • Van Assche, W.: Little q-Legendre polynomials and irrationality of certain Lambert series. The Ramanujan J. 5, 295-310 (2001)
    • (2001) The Ramanujan J , vol.5 , pp. 295-310
    • Van Assche, W.1
  • 3
    • 0002600140 scopus 로고
    • Indépendence linéaire des valeurs des solutions transcendantes de certaines équations fonctionelles
    • Bézivin, J.-P.: Indépendence linéaire des valeurs des solutions transcendantes de certaines équations fonctionelles. Manuscripta math. 61, 103-129 (1988)
    • (1988) Manuscripta Math. , vol.61 , pp. 103-129
    • Bézivin, J.-P.1
  • 5
    • 0001261536 scopus 로고
    • Arithmetical investigations of a certain infinite product
    • Bundschuh, P., Väänänen, K.: Arithmetical investigations of a certain infinite product. Compositio Math. 91, 175-199 (1994)
    • (1994) Compositio Math. , vol.91 , pp. 175-199
    • Bundschuh, P.1    Väänänen, K.2
  • 6
    • 0040971820 scopus 로고    scopus 로고
    • Linear independence measures for infinite products
    • Bundschuh, P., Väänänen, K.: Linear independence measures for infinite products. Manuscripta math. 105, 253-263 (2001)
    • (2001) Manuscripta Math. , vol.105 , pp. 253-263
    • Bundschuh, P.1    Väänänen, K.2
  • 7
    • 0001669878 scopus 로고
    • On the method of Thue-Siegel
    • Chudnovsky, G.V.: On the method of Thue-Siegel. Ann. of Math. Ser. 2117, 325-382 (1983)
    • (1983) Ann. of Math. Ser. , vol.2117 , pp. 325-382
    • Chudnovsky, G.V.1
  • 8
    • 0038097666 scopus 로고
    • On arithmetical properties of Lambert series
    • Erdös, P.: On arithmetical properties of Lambert series. J. Indiana Math. Soc. 12, 63-66 (1943)
    • (1943) J. Indiana Math. Soc. , vol.12 , pp. 63-66
    • Erdös, P.1
  • 10
    • 84961495106 scopus 로고
    • Legendre type polynomials and irrationality measures
    • Hata, M.: Legendre type polynomials and irrationality measures. J. reine angew. Math. 407, 99-125 (1990)
    • (1990) J. Reine Angew. Math. , vol.407 , pp. 99-125
    • Hata, M.1
  • 12
    • 0030300521 scopus 로고    scopus 로고
    • Modular functions and transcendence questions
    • Engl. transl.
    • Nesterenko, Yu.V.: Modular functions and transcendence questions. Engl. transl.: Russian Acad. Sci. Sb. Math. 187, 1319-1348 (1996)
    • (1996) Russian Acad. Sci. Sb. Math. , vol.187 , pp. 1319-1348
    • Nesterenko, Yu.V.1
  • 13
    • 85009885066 scopus 로고    scopus 로고
    • Integral identities and constructions of approximations to zeta values
    • Actes des 12èmes rencontres arithmétiques de Caen (June 29-30, 2001). to appear
    • Nesterenko, Yu.V.: Integral identities and constructions of approximations to zeta values. Actes des 12èmes rencontres arithmétiques de Caen (June 29-30, 2001). J. Théorie Nombres Bordeaux (2003), to appear
    • (2003) J. Théorie Nombres Bordeaux
    • Nesterenko, Yu.V.1
  • 14
    • 0013076186 scopus 로고
    • Lower estimate for rational approximations of in 2
    • Engl. transl.
    • Rukhadze, E.A.: Lower estimate for rational approximations of In 2. Engl. transl.: Mosc. Univ. Math. Bull. 187(6), 30-35 (1987)
    • (1987) Mosc. Univ. Math. Bull. , vol.187 , Issue.6 , pp. 30-35
    • Rukhadze, E.A.1
  • 15
    • 0013122681 scopus 로고    scopus 로고
    • Irrationality of values of the Riemann zeta function
    • Engl. transl.
    • Zudilin, W.: Irrationality of values of the Riemann zeta function. Engl. transl.: Russian Acad. Sci. Izv. Math. 66(3), 53-106 (2002)
    • (2002) Russian Acad. Sci. Izv. Math. , vol.66 , Issue.3 , pp. 53-106
    • Zudilin, W.1
  • 16
    • 0013076748 scopus 로고    scopus 로고
    • Arithmetic of linear forms involving odd zeta values
    • submitted for publication
    • Zudilin, W.: Arithmetic of linear forms involving odd zeta values. Invent. Math., submitted for publication (2001)
    • (2001) Invent. Math.
    • Zudilin, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.