5 papers
Iwasawa theory for branched -towers of finite graphs and Ihara zeta and -functions
Rusiru Gambheera, Daniel Vallières
We revisit the theory of Ihara -functions in the context initially studied by Bass and Hashimoto and more recently by Zakharov. In particular, we study if the Artin formalism is…
An Integral Equivariant Refinement of the Iwasawa Main Conjecture for Totally Real Fields
Rusiru Gambheera
For an abelian, CM extension of a totally real number field , we improve upon the reformulation of the Equivariant Tamagawa Number Conjecture for the Artin motive $h_{H/F}…
On the -ranks of class groups of certain Galois extensions
Ufuoma Asarhasa, Rusiru Gambheera, Debanjana Kundu +2
Let be an odd prime, let be a prime with , and let be a primitive -th root of unity. We study the -rank of the class group of $\mathbb{Q}(ζ…
Iwasawa theory for branched -towers of finite graphs
Rusiru Gambheera, Daniel Vallières
We initiate the study of Iwasawa theory for branched -towers of finite connected graphs. These towers are more general than what have been studied so far, since the…
An unconditional main conjecture in Iwasawa theory and applications
Rusiru Gambheera, Cristian D. Popescu
We improve upon the recent keystone result of Dasgupta-Kakde on the -Fitting ideals of certain Selmer modules associated to an abelian, CM extensio…