大阪大学整数論&保型形式セミナー


日時 : 2017年1月27日(金)16:30-17:30
場所 : 大阪大学理学部南ブロックD棟505号室
講演者 : 槇山賢治 (京都産業大学)
講演題名: A p-adic analytic family of the D-th Shintani lifting for a Coleman family and congruences between the central L-values
要旨 : We will construct a p-adic analytic family of Kojima and Tokuno's D-th Shintani lifting for a Coleman family and have a p-adic L-function which interpolates the central L-values attached to a Coleman family. Focusing on the case of p-ordinary, we will obtain two applications. One of them states that a congruence between Hecke eigenforms of different weights derives a congruence between their central L-values. The other one is about the Goldfeld conjecture in analytic number theory.