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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…