Browsing by Subject "L-functions"

Now showing items 1-2 of 2

  • Computing L-Invariants for the Symmetric Square of an Elliptic Curve

    Delbourgo, Daniel; Gilmore, Hamish Julian (Taylor & Francis, 2019)
    Let E be an elliptic curve over Q, and p≠2 a prime of good ordinary reduction. The p-adic L-function for Sym²E always vanishes at s = 1, even though the complex L-function does not have a zero there. The L-invariant itself ...
  • Higher order congruences amongst hasse-weil L-values

    Delbourgo, Daniel; Peters, Lloyd (Cambridge University Press, 2015-02-03)
    For the (d+1)-dimensional Lie group G=Z×pZp⊕d we determine through the use of p-power congruences a necessary and sufficient set of conditions whereby a collection of abelian L-functions arises from an element in K₁Zp[G]. ...