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math.GN2026
When ideals properly extend the class of Arbault sets
Pratulananda Das, Ayan Ghosh
The paper studies how replacing the Fréchet ideal Fin with other ideals, especially non‑snt ideals, expands the class of Arbault (trigonometric thin) sets, showing these new I‑Arba…
math.GN2025
Statistically characterized subgroups related to some non-arithmetic sequence of integers II (a quest for countable subgroups)
Pratulananda Das, Ayan Ghosh, Tamim Aziz
Following the work of [Dikranjan et al., Fund. Math. 249:185-209, 2020] for arithmetic sequences, very recently in [Das et al., Expo. Math. 43(3):125653, 2025], statistically chara…