Central $L$-values of elliptic curves and local polynomials

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Ehlen, Stephan; Guerzhoy, Pavel; Kane, Ben; Rolen, Larry;
  • Subject: 11F37, 11F11, 11E76, 11M20 | Mathematics - Number Theory
    arxiv: Mathematics::Number Theory

Here we study the recently introduced notion of a locally harmonic Maass form and its applications to the theory of $L$-functions. In particular, we find finite formulas for certain twisted central $L$-values of a family of elliptic curves in terms of finite sums over c... View more
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