N. Bonciocat

collaborators

2 papers

math.NT2025

Logarithmic Newton polygons and polytopes, and the factorization of Dirichlet polynomials

Nicolae Ciprian Bonciocat

To study a Dirichlet polynomial $f (s) = \frac{a _{m}}{m ^{s}} + \dots + \frac{a _{n}}{n ^{s}}$ by regarding it as a multivariate polynomial via the canonical map $I ¨ $ sending $p_{i}^{- s}$ to…

math.NT2025

Irreducibility criteria for pairs of polynomials whose resultant is a prime number

Nicolae Ciprian Bonciocat

We obtain various irreducibility criteria for pairs of polynomials $(f (X), g (X))$ with integer coefficients whose resultant $R es (f, g)$ is a prime number, or is divisible by a suffic…