3 papers
math.NT2025
On the Sylvester waves in partition function
Boris Y. Rubinstein
Sylvester showed that the partition function can be written as a sum of the polynomial term and quasiperiodic components called the Sylvester waves. Recently an explicit expression…
math.NT2025
A New Class of Relations for Homogeneous Symmetric Polynomials
Boris Y. Rubinstein
Recently we introduced a new class of relations for Bernoulli symmetric polynomials. This manuscript shows that these relations are valid for arbitrary homogeneous symmetric polyno…
physics.optics2025
Continuous Recovery of Phase from Single Interferogram
V. Berejnov, B. Y. Rubinstein
A new method for phase recovery from a single two-beam interferogram is presented. Conventional approaches, relying on trigonometric inversion followed by phase unfolding and unwra…