Daniel Vallières

activity

20172025

most citedOn the distribution of Iwasawa invariants associated to multigraphs

6 citations · 17 across the 12 of their papers we have counts for

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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 analogue of the Herbrand-Ribet theorem in graph theory

Daniel Vallières, Chase A. Wilson

We study an analogue of the Herbrand-Ribet theorem, and its refinement by Mazur and Wiles, in graph theory. For an odd prime number $p$ , we let $F_{p}$ and $\mathbb{Z}_{p}…

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

An analogue of the Herbrand-Ribet theorem in graph theory

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