global fields 1hecke l-functions 1moments of L-functions 1multiple Dirichlet series 1non-vanishing 1r-th order characters 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NT2026
On the second moment and non-vanishing of central values of Hecke -functions of -th order characters
Adrian Diaconu, Bogdan Ion, VicenÅ£iu PaÅol +1
The paper derives asymptotic formulas for the first and second twisted moments of r‑th order Hecke L‑functions over global fields containing the 2r‑th roots of unity, and uses thes…
math.RT2026
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…
math.RT2025
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…