gl2 representations 1iwahori filtration 1mod p cohomology 1principal congruence subgroup 1shimura curves 1
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math.NT2026
Transcendence of multivariate Mahler functions and algebraic relations between their values
Enzo Brechler
We study the functional properties of Mahler functions of several variables associated with a large class of Mahler transformations. We prove that these functions are always analyt…
math.NT2026
On the constituents of the mod cohomology of Shimura curves
Christophe Breuil, Florian Herzig, Yongquan Hu +2
The paper studies the structure of smooth admissible representations of GL₂ over an unramified p‑adic field that appear in the mod p cohomology of Shimura curves, giving detailed d…
math.NT2026
Remarks on a theorem of Silverman
Khai-Hoan Nguyen-Dang, Quang-Khai Nguyen
Motivated by a theorem of Silverman, we consider the following problem. Let be an abelian variety over a global field . Given a non-torsion point , for a suffici…