A. Mandelshtam

activity

20202022

most citedOn fractal patterns in Ulam words

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2022★ 1 cited

On fractal patterns in Ulam words

Andrei Mandelshtam

Ulam words are binary words defined recursively as follows: the length- $1$ Ulam words are $0$ and $1$ , and a binary word of length $n$ is Ulam if and only if it is expressible uniq…

math.NT2021

Symbol Length in Brauer Groups of Elliptic Curves

Mateo Attanasio, Caroline Choi, Andrei Mandelshtam +1

Let $ℓ$ be an odd prime, and let $K$ be a field of characteristic not $2, 3,$ or $ℓ$ containing a primitive $ℓ$ -th root of unity. For an elliptic curve $E$ over $K$ , we con…

math.RT2020

Sums of binomial coefficients evaluated at $α \in Q,$ and applications

Daniil Kalinov, Andrei Mandelshtam

The additive monoid $R_{+} (x)$ is defined as the set of all nonnegative integer linear combinations of binomial coefficients $(n x)$ for $n \in Z_{+}$ . This paper is con…

On fractal patterns in Ulam words

Symbol Length in Brauer Groups of Elliptic Curves

Sums of binomial coefficients evaluated at α∈Q​, and applications

Sums of binomial coefficients evaluated at $α \in Q,$ and applications