Venkata Raghu Tej Pantangi

Peter Borewein empirically discovered quite a number of mysteries involving sign patterns of coefficients of polynomials of the form $f_{p,s,n}(q):=\prod_{j=0}^{n} \prod_{k=1}^{p-1} (1-q^{pj+k})^{s}$ ($p$ a prime and $s,n \in \mathbb{N}$). In the...

Let G be a finite group acting transitively on X. We say g, h ∈ G are intersecting if gh -1 fixes a point in X . A subset S of G is said to be an intersecting set if every pair of elements in S intersect. Cosets of point stabilizers are canonical...

Let \(G\) be a finite group acting transitively on \(X\). We say \(g,h \in G\) are intersecting if \(gh^{-1}\) fixes a point in \(X\). A subset \(S\) of \(G\) is said to be an intersecting set if every pair of elements in \(S\) intersect. Cosets of...