超特異な場合における重さの高い保型形式のp進L関数について (Algebraic Number Theory and Related Topics 2016)

Abstract

This is a survey of a part of an article of the author and Florian Sprung. Sprung con- structed #/♭ p-adic L-functions L#p and L♭p for elliptic curves defined over Q in [10] and for modular forms of weight 2 in [11] in non ordinary case. In the article, we generalize p-adic L-functions L#p and L♭p for higher weight modular forms by an analogous method to that of Sprung. We assume that p ≥ k-1.