AbstractBeilinson--Bloch--Kato conjecture and Iwasawa main conjecture can be viewed as generalizations and p-adic analogues of the celebrated BSD conjecture for elliptic curves. These conjectures predict deep relations between the L-function (or its p-adic analogue) of a motive with some arithmetic invariants. In this talk, I will first start with some review on more classical results and basic...
AbstractWe will talk about several Mahler measure identities involving families of two-variable polynomials defining curves of arbitrary genus, by means of their integral $K_2$. As an application, we can obtain some relations between the Mahler measure of non-tempered polynomials defining elliptic curves of conductor 14, 15, 24, 48, 54 and corresponding L-values. We construct $g$ independent (i...
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