T. Hakobyan

activity

20162018

collaborators

6 papers

math.NT2018

Honda formal group as Galois module in unramified extensions of local fields

Tigran Hakobyan, Sergei Vostokov

For given rational prime number $p$ consider the tower of finite extensions of fields $K_{0} / Q_{p},$ $K / K_{0}, L / K, M / L$ , where $K / K_{0}$ is unramified and $M / L$ is a Galois exten…

math.LO2018

Definability in differential-henselian monotone fields

Tigran Hakobyan

This paper is a sequel to [1] and considers definability in differential-henselian monotone fields with c-map and angular component map. We prove an Equivalence Theorem among whose…

math.LO2017

Algebraically Closed Fields with a Generic Multiplicative Character

Tigran Hakobyan, Minh Chieu Tran

We study the model theory of the $2$ -sorted structure $(F, C; χ)$ , where $F$ is an algebraic closure of a finite field of characteristic $p$ , $C$ …

math.LO2016

An Ax-Kochen-Ershov Theorem for Monotone Differential-Henselian Fields

Tigran Hakobyan

Scanlon [5] proves Ax-Kochen-Ershov type results for differential-henselian monotone valued differential fields with many constants. We show how to get rid of the condition "with m…

math.NT2016

On the $P_{1}$ property of sequences of positive integers

Tigran Hakobyan

It is well-known that for any non-constant polynomial $P$ with integer coefficients the sequence $(P (n))_{n \in N}$ has the property that there are infinitely many prime nu…

math.NT2016

On the unboundedness of common divisors of distinct terms of the sequence $a_{n} = 2^{2^{n}} + d$ for $d > 1$

Tigran Hakobyan

It is well-known that for any distinct positive integers $k$ and $n$ , the numbers $2^{2^{k}} + 1$ and $2^{2^{n}} + 1$ are relatively prime. In this paper we consider the situation when 1 i…

Honda formal group as Galois module in unramified extensions of local fields

Definability in differential-henselian monotone fields

Algebraically Closed Fields with a Generic Multiplicative Character

An Ax-Kochen-Ershov Theorem for Monotone Differential-Henselian Fields

On the P1​ property of sequences of positive integers

On the unboundedness of common divisors of distinct terms of the sequence an​=22n+d for d>1

On the $P_{1}$ property of sequences of positive integers

On the unboundedness of common divisors of distinct terms of the sequence $a_{n} = 2^{2^{n}} + d$ for $d > 1$