23 citations · 61 across the 24 of their papers we have counts for
25 papers
On the second moment and non-vanishing of central values of Hecke -functions of -th order characters
Adrian Diaconu, Bogdan Ion, Vicenţiu Paşol +1
In this paper, we establish asymptotic formulas for the first and second twisted moments of -th order Hecke -functions over global fields that contain the -th roots of un…
Quantized Howe-type dualities via Koornwinder polynomials and the X=K phenomenon
Thomas Gerber, Bogdan Ion, Cédric Lecouvey +1
We derive the equality between one-dimensional sums associated with tensor products of Kirillov-Reshetikhin column crystals of classical affine types and Lusztig q-analogues of wei…
The stable limit DAHA: the structure of the standard representation
Bogdan Ion, Dongyu Wu
We prove a number of results about the structure of the standard representation of the stable limit DAHA. More precisely, we address the triangularity, spectrum, and eigenfunctions…
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…
The Stable Limit DAHA and the Double Dyck Path Algebra
Bogdan Ion, Dongyu Wu
We study the compatibility of the action of the DAHA of type GL with two inverse systems of polynomial rings obtained from the standard Laurent polynomial representations. In both…
Probabilistic renormalization and analytic continuation
Gunduz Caginalp, Bogdan Ion
We introduce a theory of probabilistic renormalization for series, the renormalized values being encoded in the expectation of a certain random variable on the set of natural numbe…