Mohammad Javaheri

activity

20072022

most citedSemigroups of matrices with dense orbits

5 citations · 8 across the 17 of their papers we have counts for

collaborators

19 papers

math.CA2022

On a Cyclic Inequality Related to Chebyshev Polynomials

Mohammad Javaheri, Harry Shen

We show that any weighted geometric mean of Chebyshev polynomials is bounded from above by another Chebyshev polynomial. We also study a related homogeneous cyclic inequality $$ \l…

math.GR2022

Doubly Sequenceable Groups

Mohammad Javaheri

Given a sequence $g : g_{0}, \dots, g_{m}$ , in a finite group $G$ with $g_{0} = 1_{G}$ , let $g ˉ : g ˉ_{0}, \dots, g ˉ_{m}$ , be the sequence defined by $g ˉ_{0} = 1_{G}$ and…

math.GR2019

Permutations with a distinct divisor property

Mohammad Javaheri, Nikolai A. Krylov

A finite group of order $n$ is said to have the distinct divisor property (DDP) if there exists a permutation $g_{1}, \dots, g_{n}$ of its elements such that $g_i^{-1}g_{i+1} \neq g_j^…

math.NT2018★ 1 cited

Complete Generalized Fibonacci Sequences Modulo Primes

Mohammad Javaheri, Nikolai Krylov

We study generalized Fibonacci sequences $F_{n + 1} = P F_{n} - Q F_{n - 1}$ with initial values $F_{0} = 0$ and $F_{1} = 1$ . Let $P, Q$ be nonzero integers such that $P^{2} - 4 Q$ is not a perfect square.…

math.NT2018

A note on polynomial sequences modulo integers

Mohammad Javaheri

We study the uniform distribution of the polynomial sequence $λ (P) = (⌊ P (k)⌋)_{k \geq 1}$ modulo integers, where $P (x)$ is a polynomial with real coefficients. In the n…

math.DS2017

Dense semigroups of triangular matrices

Mohammad Javaheri

Let $K = R$ or $C$ , and $T_{n} (K)$ be the set of $n \times n$ lower triangular matrices with entries in $K$ . We show that $T_{n} (K)$ …