Van Order, Jeanine2012-06-012012-06-012012-06-01201210.1142/S1793042112500601https://infoscience.epfl.ch/handle/20.500.14299/81236WOS:000303941400011We construct p-adic L-functions associated to cuspidal Hilbert modular eigenforms of parallel weight two in certain dihedral or anticyclotomic extensions via the Jacquet-Langlands correspondence, generalizing works of Bertolini-Darmon, Vatsal and others. The construction given here is adelic, which allows us to deduce a precise interpolation formula from a Waldspurger-type theorem, as well as a formula for the dihedral mu-invariant. We also make a note of Howard's non-vanishing criterion for these p-adic L-functions, which can be used to reduce the associated Iwasawa main conjecture to a certain non-triviality criterion for families of p-adic L-functions.Iwasawa theoryHilbert modular formsabelian varietiesHeegner PointsMain ConjectureElliptic-CurvesSpecial ValuesFormsGl(2)text::journal::journal article::research article