Rusiru Gambheera

collaborators

3 papers

math.NT2025

Iwasawa theory for branched $Z_{p}$ -towers of finite graphs and Ihara zeta and $L$ -functions

Rusiru Gambheera, Daniel Vallières

We revisit the theory of Ihara $L$ -functions in the context initially studied by Bass and Hashimoto and more recently by Zakharov. In particular, we study if the Artin formalism is…

math.NT2025

An Integral Equivariant Refinement of the Iwasawa Main Conjecture for Totally Real Fields

Rusiru Gambheera

For an abelian, CM extension $H / F$ of a totally real number field $F$ , we improve upon the reformulation of the Equivariant Tamagawa Number Conjecture for the Artin motive $h_{H/F}…

math.NT2025

Equivariant Iwasawa Theory for Ritter-Weiss Modules and Applications

Rusiru Gambheera, Cristian D. Popescu

We consider a finite, abelian, CM extension $H / F$ of a totally real number field $F$ , and construct a $Z_{p} [[G (H_{\infty} / F)]] -$ module $\nabla_{S}^{T} (H_{\infty})_{p}$ , where $p > 2$ i…

Iwasawa theory for branched Zp​-towers of finite graphs and Ihara zeta and L-functions

An Integral Equivariant Refinement of the Iwasawa Main Conjecture for Totally Real Fields

Equivariant Iwasawa Theory for Ritter-Weiss Modules and Applications

Iwasawa theory for branched $Z_{p}$ -towers of finite graphs and Ihara zeta and $L$ -functions