Discrete value: Distribution of L-functions of elliptic curves
نویسندگان
چکیده
منابع مشابه
On the Vanishing of Twisted L-Functions of Elliptic Curves
Let E be an elliptic curve over Q with L-function LE(s). We use the random matrix model of Katz and Sarnak to develop a heuristic for the frequency of vanishing of the twisted L-functions LE(1, χ), as χ runs over the Dirichlet characters of order 3 (cubic twists). The heuristic suggests that the number of cubic twists of conductor less than X for which LE(1, χ) vanishes is asymptotic to bEX 1/2...
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ژورنال
عنوان ژورنال: Publications de l'Institut Mathematique
سال: 2004
ISSN: 0350-1302
DOI: 10.2298/pim0476065g