1 Ocak 2016 Dergi makalesi Açık Erişim

Buyukboduk, Kazim

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{
  "@context": "https://schema.org/", 
  "@id": 60143, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Koc Univ Math, TR-34450 Istanbul, Turkey", 
      "name": "Buyukboduk, Kazim"
    }
  ], 
  "datePublished": "2016-01-01", 
  "description": "Let E/Q be an elliptic curve which has split multiplicative reduction at a prime p and whose analytic rank r(an)(E) equals one. The main goal of this article is to relate the second-order derivative of the Mazur-Tate-Teitelbaum p-adic L-function L-p(E, s) of E to Nekovr's height pairing evaluated on natural elements arising from the Beilinson-Kato elements. Along the way, we extend a Rubin-style formula of Nekovar to apply in the presence of exceptional zeros. Our height formula allows us, among other things, to compare the order of vanishing of L-p(E, s) at s = 1 with its (complex) analytic rank ran(E) assuming the non-triviality of the height pairing. This has consequences toward a conjecture of Mazur, Tate, and Teitelbaum.", 
  "headline": "On Nekovar's Heights, Exceptional Zeros and a Conjecture of Mazur-Tate-Teitelbaum", 
  "identifier": 60143, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "On Nekovar's Heights, Exceptional Zeros and a Conjecture of Mazur-Tate-Teitelbaum", 
  "url": "https://aperta.ulakbim.gov.tr/record/60143"
}