A. Mosunov

activity

20152021

most citedNumerical and Statistical Analysis of Aliquot Sequences

7 citations · 10 across the 3 of their papers we have counts for

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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 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…

math.NT2020★ 3 cited

On the Area of the Fundamental Region 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. We estimate the area $A_{F}$ bounded by the curve $∣ F (x, y) ∣ = 1$ for four families of binary forms…

math.NT2020

On the Area Bounded by the Curve $\prod_{k = 1}^{n} ∣ x sin (k π / n) - y cos (k π / n) ∣ = 1$

Anton Mosunov

For a positive integer $n$ , let $F_{n}^{*} (X, Y) = k = 1 \prod n (X sin (\frac{k π}{n}) - Y cos (\frac{k π}{n})) .$ In 2000 Bean and Laugesen pro…

math.NT2015

Unconditional Class Group Tabulation of Imaginary Quadratic Fields to $∣Δ∣ < 2^{40}$

A. S. Mosunov, M. J. Jacobson

We present an improved algorithm for tabulating class groups of imaginary quadratic fields of bounded discriminant. Our method uses classical class number formulas involving theta-…

Numerical and Statistical Analysis of Aliquot Sequences

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

On the Area of the Fundamental Region of a Binary Form Associated with Algebraic Trigonometric Quantities

On the Area Bounded by the Curve ∏k=1n​∣xsin(kπ/n)−ycos(kπ/n)∣=1

Unconditional Class Group Tabulation of Imaginary Quadratic Fields to ∣Δ∣<240

On the Area Bounded by the Curve $\prod_{k = 1}^{n} ∣ x sin (k π / n) - y cos (k π / n) ∣ = 1$

Unconditional Class Group Tabulation of Imaginary Quadratic Fields to $∣Δ∣ < 2^{40}$