Tom Moshaiov

collaborators

3 papers

math.CO2026

Polynomial Expressions for Symmetric Group Characters on Cycles

Tom Moshaiov, Shaul Zemel

In \cite{[CZ]}, Cohen and Zemel showed that for a partition $λ ⊢ k$ , the dimension of the irreducible representation of $S_{n}$ corresponding to the partition $(n-k,λ) \vdash n…

math.HO2022

An alternative proof for the irreducibility of the p-th cyclotomic polynomial

Tom Moshaiov

Let $p$ be a prime number. As a standard application of the irreducibility criterion of Eisenstein, it is well known that the $p$ -th cyclotomic polynomial $Φ_p(t)=1+t+\dots+t^{p-1}…

math.GM2022

An elementary proof of the rationality of $ζ (2 n) / π^{2 n}$

Tom Moshaiov

In $1735$ Euler \cite{1} proved that for each positive integer $k$ , the series $ζ (2 k) = \sum_{ℓ = 1}^{\infty} ℓ^{- 2 k}$ converges to a rational multiple of $π^{2 k}$ . Many demons…

Polynomial Expressions for Symmetric Group Characters on Cycles

An alternative proof for the irreducibility of the p-th cyclotomic polynomial

An elementary proof of the rationality of ζ(2n)/π2n

An elementary proof of the rationality of $ζ (2 n) / π^{2 n}$