Hartosh Singh Bal

activity

20192026

most citedThe Partition-Frequency Enumeration Matrix

4 citations · 5 across the 14 of their papers we have counts for

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3 papers · 1 filter

math.CO2026

Beyond Bass Collapse: New Irregular Edge-Space Invariants in Ihara Theory

Hartosh Singh Bal

Let $G$ be a finite simple graph and let $T$ be its Hashimoto operator on the directed-edge space. We show that edge reversal induces a canonical symmetric/antisymmetric splitt…

math.CO2026

The Antisymmetric Line Graph

Hartosh Singh Bal

Let $G$ be a finite simple graph with oriented incidence matrix $D$ . The signed graph on edge set $E (G)$ with adjacency matrix \[ A_{\mathcal A(G)}=D^{\mathsf T}D-2I \] is classica…

math.NT2026

Partition Frequency Moments: Modularity and Congruences

Hartosh Singh Bal

We study frequency moments of partition statistics arising from Euler products $A (q) = \prod_{r \geq 1} (1 - q^{r})^{- c (r)}$ via a transform that expresses the moment generating functions as…