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Volumn 139, Issue 3, 2000, Pages 509-523

ABC implies no "Siegel zeros" for L-functions of characters with negative discriminant

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EID: 0034348986     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002229900036     Document Type: Article
Times cited : (44)

References (15)
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    • Chowla, S.1
  • 2
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    • Remarks on class-invariants and related topics, chapter VI of 'seminar on complex multiplication'
    • eds A. Borel et al.
    • 2. S. Chowla, Remarks on class-invariants and related topics, chapter VI of 'Seminar on Complex Multiplication' (eds A. Borel et al.) Lect. Notes Math. 21 (1966)
    • (1966) Lect. Notes Math. , vol.21
    • Chowla, S.1
  • 4
    • 51249195615 scopus 로고
    • Teilbarkeitseigenschaften der singulären modulen der elliptischen funktionen und die diskriminante der klassengleichung
    • 4. M. Deuring, Teilbarkeitseigenschaften der singulären Modulen der elliptischen Funktionen und die Diskriminante der Klassengleichung, Comm. Math. Helvet. 19 (1946), 74-82
    • (1946) Comm. Math. Helvet. , vol.19 , pp. 74-82
    • Deuring, M.1
  • 8
    • 0001134603 scopus 로고
    • An asymptotic formula relating the Siegel zero and the class number of quadratic fields
    • 8. D.M. Goldfeld, An asymptotic formula relating the Siegel zero and the class number of quadratic fields, Ann. Scuola Norm. Sup. Pisa(4), 2 (1975), 611-615
    • (1975) Ann. Scuola Norm. Sup. Pisa(4) , vol.2 , pp. 611-615
    • Goldfeld, D.M.1
  • 10
  • 11
    • 0000439930 scopus 로고
    • On Hecke's theorem on the real zeros of the L-functions and the class number of quadratic fields
    • 11. K. Mahler, On Hecke's Theorem on the real zeros of the L-functions and the class number of quadratic fields, J. London Math. Soc. 9 (1934), 298-302
    • (1934) J. London Math. Soc. , vol.9 , pp. 298-302
    • Mahler, K.1
  • 13
    • 49149146397 scopus 로고
    • L-functions at s = 1. IV. First derivatives at s = 0
    • 13. H.M. Stark, L-functions at s = 1. IV. First derivatives at s = 0, Adv. in Math. 35 (1980), 197-235
    • (1980) Adv. in Math. , vol.35 , pp. 197-235
    • Stark, H.M.1
  • 14
    • 0003341672 scopus 로고
    • Diophantine approximations and value distribution theory
    • 14. P. Vojta, Diophantine Approximations and Value Distribution Theory, Lect. Notes Math. 1239 (1987)
    • (1987) Lect. Notes Math. , vol.1239
    • Vojta, P.1
  • 15
    • 0003396939 scopus 로고
    • 2nd ed., Vieweg, Braunschweig
    • 15. H. Weber, Lehrbuch der Algebra, vol. 3, 2nd ed., Vieweg, Braunschweig, 1908
    • (1908) Lehrbuch Der Algebra , vol.3
    • Weber, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.