A. Dixit

collaborators

4 papers

math.NT2019

On Euler-Kronecker constants and the generalized Brauer-Siegel conjecture

Anup B. Dixit

As a natural generalization of the Euler-Mascheroni constant $γ$ , Y. Ihara introduced the Euler-Kronecker constant $γ_{K}$ attached to any number field $K$ . In this paper, we prove t…

math.NT2019

On the generalized Brauer-Siegel theorem for asymptotically exact families with solvable Galois closure

Anup B. Dixit

In 2002, M. A. Tsfasman and S. G. Vlăduţ formulated the generalized Brauer-Siegel conjecture for asymptotically exact families of number fields. In this article, we establish this…

math.NT2019

A uniqueness property of general Dirichlet series

Anup B. Dixit

Let $F (s) = \sum_{n} a_{n} / λ_{n}^{s}$ be a general Dirichlet series which is absolutely convergent on $ℜ (s) > 1$ . Assume that $F (s)$ has an analytic continuation and satisfies a growth condi…

math.NT2019

Large values of $L$ -functions on $1$ -line

Anup B. Dixit, Kamalakshya Mahatab

In this paper, we study lower bounds of a general family of $L$ -functions on the $1$ -line. More precisely, we show that for any $F (s)$ in this family, there exists arbitrary large…

On Euler-Kronecker constants and the generalized Brauer-Siegel conjecture

On the generalized Brauer-Siegel theorem for asymptotically exact families with solvable Galois closure

A uniqueness property of general Dirichlet series

Large values of L-functions on 1-line

Large values of $L$ -functions on $1$ -line