Bruno Angles

Publications (7)0 Total impact

• Source

  Available from: ArXiv

  Article: On the linear independence of p-adic L-functions modulo p

  Bruno Angles, Gabriele Ranieri
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  ABSTRACT: Inspired by Warren Sinnott 's method we prove a linear independence result modulo p for the Iwasawa power series associated to Kubota-Leopoldt p-adic L-functions.
  04/2009;
• Source

  Available from: ArXiv

  Article: On Jacobi Sums in $\mathbb Q(\zeta_p)$

  Bruno Angles, Filippo Nuccio
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  ABSTRACT: We study the p-adic behavior of Jacobi Sums for $\mathbb Q(\zeta_p)$ and link this study to the p-Sylow subgroup of the ideal class group of $\mathbb Q(\zeta_p\`a^+$
  03/2008;
• Source

  Available from: ArXiv

  Article: On the p-adic Leopoldt Transform of a power series

  Bruno Angles
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  ABSTRACT: In this paper we give a bound for the Iwasawa lambda invariant of an abelian number field attached to the cyclotomic Z_p-extension of that field. We also give some properties of Iwaswa power series attached to p-adic L-functions.
  10/2007;
• Source

  Available from: arxiv.org

  Article: On Weil Numbers in Cyclotomic Fields

  Bruno Angles, Tatiana Beliaeva
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  ABSTRACT: In this note, we investigate the p-adic behavior of Weil numbers in the cyclotomic $\mathbb Z\_p$-extension of $\mathbb Q(\zeta\_p).$ We determlne the characteristic ideal of the quotient of semi-local units by Weil numbers in terms of the characteristic ideals of some classical modules that appear in Iwasawa Theory.
  07/2006;
• Source

  Available from: ArXiv

  Article: A Note on a result of Iwasawa

  Bruno Angles, Thomas Herreng
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  ABSTRACT: We recover a result of Iwasawa on the p-adic logarithm of principal units with the use of the value at 1 of p-adic L-functions. We deduce an Iwasawa-like result in the odd part of principal units.
  01/2006;
• Source

  Available from: ArXiv

  Article: On some p-adic power series attached to the arithmetic of $\mathbb Q(\zeta\_p).$

  Bruno Angles
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  ABSTRACT: In this paper, we prove that the derivative of the Iwasawa power series associated to p-adic L-functions of $\mathbb Q(\zeta\_p)$ are not divisible by p. This extends previous results obtained by Ferrero and Washington in 1979.
  11/2005;
• Source

  Available from: arxiv.org

  Article: On L-functions of cyclotomic function fields

  Bruno Angles
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  ABSTRACT: We study two criterions of cyclicity for divisor class groups of functions fields, the first one involves Artin L-functions and the second one involves "affine" class groups. We show that, in general, these two criterions are not linked.
  03/2005;