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math.NT2021
Local newforms for the general linear groups over a non-archimedean local field
Hiraku Atobe, Satoshi Kondo, Seidai Yasuda
In [12], Jacquet--Piatetskii-Shapiro--Shalika defined a family of compact open subgroups of -adic general linear groups indexed by non-negative integers, and established the the…
math.NT2021
Arithmetic quotients of the Bruhat-Tits building for projective general linear group in positive characteristic
Satoshi Kondo, Seidai Yasuda
Let . We study a subspace of the space of automorphic forms of over a global field of positive characteristic (or, a function field of a curve over a finit…