17 citations · 44 across the 9 of their papers we have counts for
5 papers · 1 filter
Perturbations of spiky strings in flat spacetimes
Soumya Bhattacharya, Sayan Kar, Kamal L. Panigrahi
Perturbations of a class of semiclassical strings known today as spiky strings, are studied using the well-known Jacobi equations for small normal deformations of an embedded timel…
Irreducibility of a holomorphic eta quotient is determinable
Soumya Bhattacharya
We show that a holomorphic eta quotient has only finitely many factors. We also provide an algorithm for checking irreducibility of holomorphic eta quotients by constructing an upp…
Holomorphic eta quotients of weight 1/2
Soumya Bhattacharya
We give a short proof of Zagier's conjecture / Mersmann's theorem which states that each holomorphic eta quotient of weight 1/2 is an integral rescaling of some eta quotient from Z…
Finiteness of simple holomorphic eta quotients of a given weight
Soumya Bhattacharya
We provide a simplified proof of Zagier's conjecture / Mersmann's theorem which states that of any particular weight, there are only finitely many holomorphic eta quotients, none o…
Finiteness of irreducible holomorphic eta quotients of a given level
Soumya Bhattacharya
We show that for any positive integer , there are only finitely many holomorphic eta quotients of level , none of which is a product of two holomorphic eta quotients other th…