Punya Plaban Satpathy

collaborators

4 papers

math.RT2025

Borel--Serre type bordifications and Canonical Pairs for Loop groups

Manish M. Patnaik, Punya Plaban Satpathy

To the symmetric space of the (positive half) of a real loop group, we attach a Borel--Serre type bordification and equip it with a Hausdorff topology. The attached boundary, index…

math.NT2025

Erdős-Kac type theorem for the number of scattering geodesics on modular surface

Sudhir Pujahari, Punya Plaban Satpathy

In 1917, Hardy and Ramanujan showed that if $ω (n)$ is the number of distinct prime factors of a randomly chosen positive integer $n,$ then the normal order of $ω (n)$ is $\log \log…

math.NT2025

Prime scattering geodesic theorem

Sudhir Pujahari, Punya Plaban Satpathy

The modular surface, given by the quotient $\mathcal{M} = \Ha/\text{PSL}(2,\Z)$, can be partitioned into a compact subset $\Mm$ and an open neighborhood of the unique cusp in $\mat…

math.SP2020

Scattering theory on higher $Q$ -rank locally symmetric spaces