Author

Soumya Bhattacharya

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Preprint Oct 2026

The structure of irreducible cuspidal eta quotients

We show that an ir{\-}reducible cuspidal eta quotient of level~$N$ is uniquely identified by its orders of vanishing at $O((\log_2 N)^{r-1})$ cusps, where $r$ denotes the number of distinct prime divisors of $N$. In particular, all such eta quotients which are Fricke eigenforms of a prime power level, are uniquely iden...

Soumya Bhattacharya · 0 citations

Preprint Sep 2026

Polynomial-time algorithm for exact $(1,2)$-center problem under continuous Fr\'echet distance

In this paper, we explore the $(1,2)$-center problem for polygonal curves under continuous Fr\'echet distance. The $(k,\ell)$-center problem, in general, is known to be NP-hard. Aronov, Filtser, Horton, Katz, and Sheikhan (WADS'19) gave a polynomial-time algorithm for the $(1,2)$-center of curves in the plane under the...

Soumya Bhattacharya, Serene Rasheed, Sasanka Roy · 0 citations