V. Gurvich

activity

20232026

most citedGM-rule and its applications to impartial games

3 citations · 4 across the 10 of their papers we have counts for

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3 papers · 1 filter

math.NT2025

On pairs of triangular numbers whose product is a perfect square and pairs of intervals of successive integers with equal sums of squares

Vladimir Gurvich, Mariya Naumova

In 1778 Leonhard Euler characterized triangular numbers that are perfect squares. Obviously, the product of any two such numbers is a perfect square too. Yet, there are many other…

math.CO2025

Partitioning set $[n] = {1, \dots, n}$ into subsets of size at most $m$ such that all sums are powers of $m$

Vladimir Gurvich, Mariya Naumova

Given integers $m > 1$ and $n > 0$ , we say that a partition of the set $[n] = {1, \dots, n}$ is {\em $m$ -good} if the number of elements in each part is at most $m$ and their sum…

stat.ME2025

Critical issues with the Pearson's chi-square test

Vladimir Gurvich, Mariya Naumova

Pearson's chi-square tests are among the most commonly applied statistical tools across a wide range of scientific disciplines, including medicine, engineering, biology, sociology,…

On pairs of triangular numbers whose product is a perfect square and pairs of intervals of successive integers with equal sums of squares

Partitioning set [n]={1,…,n} into subsets of size at most m such that all sums are powers of m

Critical issues with the Pearson's chi-square test

Partitioning set $[n] = {1, \dots, n}$ into subsets of size at most $m$ such that all sums are powers of $m$