Integrality of twisted L-values of elliptic curves
Chris Wuthrich (Nottingham)
12-Nov-2020, 14:00-15:00 (3 years ago)
Abstract: In the context of the generalised Birch and Swinnerton-Dyer conjecture, one considers the value at $s=1$ of the L-function of an elliptic curve $E/\mathbb{Q}$ twisted by a Dirichlet character $\chi$. When normalised with a period, one obtains an algebraic number $\mathscr{L}(E,\chi)$. In joint work with Hanneke Wiersema, we determine under what conditions $\mathscr{L}(E,\chi)$ is an algebraic integer.
number theory
Audience: researchers in the topic
Dublin Algebra and Number Theory Seminar
Series comments: Passcode: The 3-digit prime numerator of Riemann zeta at -11
Organizers: | Kazim Buyukboduk*, Robert Osburn |
*contact for this listing |
Export talk to