3 citations · 5 across the 14 of their papers we have counts for
15 papers
On the p-adic Wirsing problem
Anup B Dixit
For a real transcendental number , let denote the supremum of all for which there exist infinitely many real algebraic numbers of degree satisfying $…
Statistics of the Genus Number of and -fields
Anup B. Dixit, Sunil Kumar Pasupulati
The genus number of a number field is a fundamental invariant which measures the contribution of ramification to its ideal class group. In this paper, we establish the statistics f…
Brauer-Siegel theorem for families of number fields over almost Sn fields
Anup B Dixit
The classical Brauer-Siegel conjecture describes the asymptotic behaviour of the product of the class number and the regulator in families of number fields. All known cases of the…
How often are and simultaneously primes?
Anup B. Dixit, Nikhil S Kumar
Let denote the greatest integer less than or equal to a real number . Given real numbers satisfying a certain condition,…
A p-adic criterion for Lehmer's conjecture
Anup B. Dixit, Sushant Kala
For a non-zero algebraic number of degree , let denote its logarithmic Weil height. It is known that when is small, and is large, the conjugates of are…
On the distribution of
Saunak Bhattacharjee, Anup B. Dixit
Let be the Euler totient function and denote the sum of divisors of . In this note, we obtain explicit upper bounds on the number of positive integers su…