A. Mosunov

activity

20132022

most citedNumerical and Statistical Analysis of Aliquot Sequences

7 citations · 10 across the 10 of their papers we have counts for

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Showing 2021Show all

4 papers · 1 filter

math.NT2021

On the Generalization of the Gap Principle

Anton Mosunov

Let $α$ be a real algebraic number of degree $d \geq 3$ and let $β \in Q (α)$ be irrational. Let $μ$ be a real number such that $(d /2) + 1 < μ < d$ and let $C_{0}$ be a positive…

math.NT2021★ 7 cited

Numerical and Statistical Analysis of Aliquot Sequences

Kevin Chum, Richard K. Guy, Michael J. Jacobson +1

We present a variety of numerical data related to the growth of terms in aliquot sequences, iterations of the function $s (n) = σ (n) - n$ . First, we compute the geometric mean of th…

math.NT2021

On the Representation of Integers by Binary Forms Defined by Means of the Relation $(x + y i)^{n} = R_{n} (x, y) + J_{n} (x, y) i$

A. Mosunov

Let $F$ be a binary form with integer coefficients, non-zero discriminant and degree $d \geq 3$ . Let $R_{F} (Z)$ denote the number of integers of absolute value at most $Z$ which are…

math.NT2021

On the Automorphism Group of a Binary Form Associated with Algebraic Trigonometric Quantities

Anton Mosunov

Let $F (x, y)$ be a binary form of degree at least three and non-zero discriminant. In this article we compute the automorphism group $Aut F$ for four families of bin…

On the Generalization of the Gap Principle

Numerical and Statistical Analysis of Aliquot Sequences

On the Representation of Integers by Binary Forms Defined by Means of the Relation (x+yi)n=Rn​(x,y)+Jn​(x,y)i

On the Automorphism Group of a Binary Form Associated with Algebraic Trigonometric Quantities

On the Representation of Integers by Binary Forms Defined by Means of the Relation $(x + y i)^{n} = R_{n} (x, y) + J_{n} (x, y) i$