Vicenctiu Pacsol

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20182026

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math.NT2026

Iterated extensions and the ramification dichotomy

Mugurel Barcau, Vicenţiu Paşol

Let $K / Q_{p}$ be finite and let $f \in O_{K} [X]$ be monic, of degree at least two, with $f^{'} (X) \in m_{K} O_{K} [X]$ , equivalently $f ˉ \in k [X^{p}]$ . For a co…

math.NT2023

Residues of quadratic Weyl group multiple Dirichlet series

Adrian Diaconu, Bogdan Ion, Vicenţiu Paşol +1

We give explicit formulas for the residue of the Chinta-Gunnells average attached to a finite irreducible root system, at the polar divisor corresponding to a simple short root. Th…

math.NT2021

Quadratic Weyl group multiple Dirichlet series of Type $D_{4}^{(1)}$

Adrian Diaconu, Vicenţiu Paşol, Alexandru A. Popa

In this paper and its sequel \cite{DPP}, we investigate the precise relationship between the quadratic affine Weyl group multiple Dirichlet series in the sense of \cite{CG1, BD}, a…

math.NT2018

Moduli of Hyperelliptic Curves and Multiple Dirichlet Series

Adrian Diaconu, Vicenţiu Paşol

In this paper we provide an explicit construction of a $d i s t in c t i v e$ multiple Dirichlet series associated to products of quadratic Dirichlet L-series, which we believe should be ti…

Iterated extensions and the ramification dichotomy

Residues of quadratic Weyl group multiple Dirichlet series

Quadratic Weyl group multiple Dirichlet series of Type D4(1)​

Moduli of Hyperelliptic Curves and Multiple Dirichlet Series

Quadratic Weyl group multiple Dirichlet series of Type $D_{4}^{(1)}$