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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.NT2023★ 3 cited
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…