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math.NT2024
On a continued fraction algorithm in finite extensions of $\Q_p$ and its metrical theory
Manoj Choudhuri, Prashant J. Makadiya
We develop a continued fraction algorithm in finite extensions of $\Q_p$ generalising certain algorithms in $\Q_p$, and prove the finiteness property for certain small degree exten…
math.NT2023
On values of isotropic quadratic forms
Manoj Choudhuri, Prashant J. Makadiya
Let be a locally compact non-discrete field of characteristic and be a non-degenerate isotropic binary quadratic form with coefficients in . We obtain asymptotic e…