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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…
math.NT2014★ 5 cited
On values of binary quadratic forms at integer points
Manoj Choudhuri, S. G. Dani
We obtain estimates for the number of integral solutions in large balls, of inequalities of the form , where is an indefinite binary quadratic form, in terms of…