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math.NT2025
Counting Lattices with Local Hecke Series
Gautami Bhowmik, Masao Tsuzuki
We count the maximal lattices over -adic fields and the rational number field. For this, we use the theory of Hecke series for a reductive group over nonarchimedean local fields…
math.NT2025
The Zsiflaw--Legeis theorem for arbitrary bases
Gautami Bhowmik, Yuta Suzuki
In this paper, we prove analogues of the Dirichlet theorem on arithmetic progressions and the Siegel--Walfisz theorem for the digital reverses of primes for arbitrary bases, which…