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    BUCKINGHAM, PAUL 2014. THE EQUIVALENCE OF RUBIN'S CONJECTURE AND THE ETNC/LRNC FOR CERTAIN BIQUADRATIC EXTENSIONS. Glasgow Mathematical Journal, Vol. 56, Issue. 02, p. 335.


    BUCKINGHAM, PAUL 2011. THE FRACTIONAL GALOIS IDEAL FOR ARBITRARY ORDER OF VANISHING. International Journal of Number Theory, Vol. 07, Issue. 01, p. 87.


    Burns, David 2011. Congruences between derivatives of geometric L-functions. Inventiones mathematicae, Vol. 184, Issue. 2, p. 221.


    Burns, David 2007. Congruences between derivatives of abelian L-functions at s=0. Inventiones mathematicae, Vol. 169, Issue. 3, p. 451.


    Popescu, Cristian D. 2005. The Rubin–Stark conjecture for a special class of function field extensions. Journal of Number Theory, Vol. 113, Issue. 2, p. 276.


    Bley, W. 2003. Numerical Evidence for a Conjectural Generalization of Hilbert's Theorem 132. LMS Journal of Computation and Mathematics, Vol. 6, p. 68.


    Popescu, Cristian D. 2002. Base change for Stark-type conjectures "over \mathbb{Z}". Journal für die reine und angewandte Mathematik (Crelles Journal), Vol. 2002, Issue. 542,


    Solomon, David 2002. Twisted Zeta-Functions and Abelian Stark Conjectures. Journal of Number Theory, Vol. 94, Issue. 1, p. 10.


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On a Refined Stark Conjecture for Function Fields

  • CRISTIAN D. POPESCU (a1)
  • DOI: http://dx.doi.org/10.1023/A:1000833610462
  • Published online: 01 May 1999
Abstract

We prove that a refinement of Stark‘s Conjecture formulated by Rubin in Ann. Inst Fourier 4 (1996) is true up to primes dividing the order of the Galois group, for finite, Abelian extensions of function fields over finite fields. We also show that in the case of constant field extensions, a statement stronger than Rubin‘s holds true.

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Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
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