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math.NT2026
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…
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…