2010-03-01, English, Article, Journal or magazine article edition: On the zeta function of a family of quintics. Goutet, Philippe

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2010 March
Language
  • English

Edition details

Title
  • On the zeta function of a family of quintics.
Appears In
  • Journal of Number Theory, v.130, no.3, 2010 March, p.478(15) (ISSN: 0022-314X)
Author
  • Goutet, Philippe
Published
  • Elsevier B.V., 2010 March
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.jnt.2009.11.001 Byline: Philippe Goutet Keywords: Quintic threefold; Hypergeometric curves; Zeta function factorization Abstract: In this article, we give a proof of the link between the zeta function of two families of hypergeometric curves and the zeta function of a family of quintics that was observed numerically by Candelas, de la Ossa, and Rodriguez Villegas. The method we use is based on formulas of Koblitz and various Gauss sums identities; it does not give any geometric information on the link. Author Affiliation: IMJ, case 247, 4 place Jussieu, 75252 Paris Cedex 05, France Article History: Received 31 May 2007; Revised 4 November 2009 Article Note: (miscellaneous) Communicated by Fernando Rodriguez Villegas
Terms of Use
  • COPYRIGHT 2010 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 217379323

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