Now showing items 1-3 of 3

  • Higher order congruences amongst hasse-weil L-values

    Delbourgo, Daniel; Peters, Lloyd (Cambridge University Press, 2015-02-03)
    For the (d+1)-dimensional Lie group G=Z×pZp⊕d we determine through the use of p-power congruences a necessary and sufficient set of conditions whereby a collection of abelian L-functions arises from an element in K₁Zp[G]. ...
  • 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 ...