Ameya Pitale

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20242026

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math.NT2026

Simple supercuspidal representations of $GSp_{4}$ and test vectors

Ameya Pitale, Abhishek Saha, Ralf Schmidt

We consider simple supercuspidal representations of $GSp_{4}$ over a $p$ -adic field and show that they have conductor exponent 5. We study (paramodular) newvectors and minim…

math.NT2025

Multiplicity one for $L$ -functions and applications

David W. Farmer, Ameya Pitale, Nathan C. Ryan +1

We give conditions for when two Euler products are the same given that they satisfy a functional equation and their coefficients are not too large and do not differ from each other…

math.NT2024

Petersson norms of Borcherds theta lifts to O(1, 8n+1) with applications to injectivity and sup-norm bounds

Simon Marshall, Hiroaki Narita, Ameya Pitale

We give an explicit formula for the Petersson norms of theta lifts from Maass cusp forms of level one to cusp forms on orthogonal groups O(1,8n+1). Our formula explicitly determine…

Simple supercuspidal representations of GSp4​ and test vectors

Multiplicity one for L-functions and applications

Petersson norms of Borcherds theta lifts to O(1, 8n+1) with applications to injectivity and sup-norm bounds

Simple supercuspidal representations of $GSp_{4}$ and test vectors

Multiplicity one for $L$ -functions and applications