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math.NT2024
On points of small height in infinite extensions
Anup B. Dixit, Sushant Kala
In this paper, we introduce the notion of asymptotically positive infinite extensions of , in the spirit of the Tsfasman-Vlăduţ theory of asymptotically exact families…
math.NT2024
On the lowest zero of Dedekind zeta function
Sushant Kala
Let denote the Dedekind zeta-function associated to a number field . In this paper, we give an effective upper bound for the height of first non-trivial zero other than…