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arXiv · 2603.29728

Reciprocity of Skew Hall-Littlewood-Schubert Series

Ron M. Adin·Tomer Bauer
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Abstract

Carnevale, Schein and Voll proved self-reciprocity of the generalized Igusa functions, and Maglione and Voll did the same for the Hall-Littlewood-Schubert series. We introduce a simultaneous generalization and refinement of these two rational functions, and prove that it satisfies a self-reciprocity property. This answers a problem posed by Maglione and Voll. Our method of proof is elementary, avoiding the use of $p$-adic integration.

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Ron M. Adin, Tomer Bauer. 2026-03-31. Reciprocity of Skew Hall-Littlewood-Schubert Series. https://arxiv.org/abs/2603.29728

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