Atsushi Ichino

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.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…

math.NT2025

Local Intertwining Relations and Co-tempered $A$ -packets of Classical Groups

Hiraku Atobe, Wee Teck Gan, Atsushi Ichino +3

The local intertwining relation is an identity that gives precise information about the action of normalized intertwining operators on parabolically induced representations. We pro…

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

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

Local Intertwining Relations and Co-tempered A-packets of Classical Groups

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

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

Local Intertwining Relations and Co-tempered $A$ -packets of Classical Groups