1 Ocak 2016 Dergi makalesi Açık Erişim

Buyukboduk, Kazim

Citation Style Language JSON

{
  "DOI": "10.1093/imrn/rnv205", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Buyukboduk", 
      "given": " Kazim"
    }
  ], 
  "container_title": "INTERNATIONAL MATHEMATICS RESEARCH NOTICES", 
  "id": "60143", 
  "issue": "7", 
  "issued": {
    "date-parts": [
      [
        2016, 
        1, 
        1
      ]
    ]
  }, 
  "page": "2197-2237", 
  "title": "On Nekovar's Heights, Exceptional Zeros and a Conjecture of Mazur-Tate-Teitelbaum", 
  "type": "article-journal", 
  "volume": "2016"
}