5 citations · 13 across the 11 of their papers we have counts for
11 papers
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…
Hyperelliptic curves, the scanning map, and moments of families of quadratic L-functions
Jonas Bergström, Adrian Diaconu, Dan Petersen +1
We compute the stable homology of the braid group with coefficients in any Schur functor applied to the integral reduced Burau representation. This may be considered as a hyperelli…
Quadratic Weyl group multiple Dirichlet series of Type
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…
Secondary terms in the asymptotics of moments of L-functions
Adrian Diaconu, Henry Twiss
We propose a refined version of the existing conjectural asymptotic formula for the moments of the family of quadratic Dirichlet L-functions over rational function fields. Our pred…
Moduli of Hyperelliptic Curves and Multiple Dirichlet Series
Adrian Diaconu, Vicenţiu Paşol
In this paper we provide an explicit construction of a multiple Dirichlet series associated to products of quadratic Dirichlet L-series, which we believe should be ti…
On the third moment of II: the number field case
Adrian Diaconu, Ian Whitehead
We establish a smoothed asymptotic formula for the third moment of quadratic {D}irichlet -functions at the central value. In addition to the main term, which is known, we prove…