Browsing by Subject "L-functions"
Now showing items 1-2 of 2
-
Computing L-Invariants for the Symmetric Square of an Elliptic Curve
(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
(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]. ...
