17 citations · 44 across the 9 of their papers we have counts for
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The structure of irreducible cuspidal eta quotients
Soumya Bhattacharya
We show that an ir{\-}reducible cuspidal eta quotient of level~ is uniquely identified by its orders of vanishing at cusps, where denotes the number of…
Infinite Families of Simple Holomorphic Eta Quotients
Soumya Bhattacharya
We address the problem of constructing a simple holomor- phic eta quotient of a given level N . Such constructions are known for all cubefree N . Here, we provide such construction…
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…