Haonan Gu

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math.NT2025

Expository notes on Spectral Reciprocity with Explicit Transform

Haonan Gu

We assemble three basic analytic inputs -- the Kuznetsov trace formula on $SL_{2} (Z)$ with explicit continuous spectrum, the $GL_{3}$ Voronoi formula, and $t$ …

math.NT2025

Towards a finite-slope universal Rankin-Selberg p-adic L-function

Haonan Gu

This article studies the finite--slope analogue of Loeffler's conjectural framework for Rankin--Selberg $p$ -adic $L$ -functions in universal deformation families. Starting from resi…