Browsing by Subject "p-adic L-functions"

Now showing items 1-3 of 3

  • Heegner cycles and congruences between anticyclotomic p-adic L-functions over CM-extensions

    Delbourgo, Daniel; Lei, Antonio (Electronic Journals Project, 2020)
    Let E be a CM-field, and suppose that f, g are two primitive Hilbert cusp forms over E⁺ of weight 2 satisfying a congruence modulo λʳ. Under appropriate hypotheses, we show that the complex L-values of f and g twisted by ...
  • Iwasawa theory over solvable three-dimensional p-adic Lie extensions

    Qin, Chao (The University of Waikato, 2018)
    Iwasawa theory is a powerful tool which describes the mysterious relationship between arithmetic objects (motives) and the special values of L-functions. A precise form of this relationship is neatly encoded in the so-called ...
  • K₁-congruences for three-dimensional Lie groups

    Delbourgo, Daniel; Chao, Qin (Springer, 2019)
    We completely describe K₁ (Zₚ [[G∞]]) and its localisations by using an infinite family of p-adic congruences, where G∞ is any solvable p-adic Lie group of dimension 3. This builds on earlier work of Kato when ...