Kartik Prasanna

collaborators

3 papers

math.NT2026

Cycles for Rankin-Selberg $L$ -functions, I: automorphic periods

Atsushi Ichino, Kartik Prasanna

In this paper, we establish an explicit formula for automorphic periods which will be used in a sequel to study special values of $p$ -adic Rankin-Selberg $L$ -functions. Our motivat…

math.NT2025

Motivic action for Siegel modular forms

Aleksander Horawa, Kartik Prasanna

We study the coherent cohomology of automorphic sheaves corresponding to Siegel modular forms $f$ of low weight on $GSp (4)$ Shimura varieties. Inspired by the work of Prasann…

math.RT2025

Representations of $GL_{2}$ over $Z / p^{n} Z$ and supercongruences for hypergeometric polynomials

Atsushi Ichino, Kartik Prasanna

For an odd prime $p$ , we realize the trivial representation of $GL_{2} (Z / p^{n} Z)$ on the free $Z / p^{n} Z$ -module of rank one as a subquotient…

Cycles for Rankin-Selberg L-functions, I: automorphic periods

Motivic action for Siegel modular forms

Representations of GL2​ over Z/pnZ and supercongruences for hypergeometric polynomials

Cycles for Rankin-Selberg $L$ -functions, I: automorphic periods

Representations of $GL_{2}$ over $Z / p^{n} Z$ and supercongruences for hypergeometric polynomials