arXiv subjects

Colin Jia Sheng Loh

Publications and source records attributed to Colin Jia Sheng Loh.

2 recordsLinked to original sources

arXiv2026

Period integrals of distinguished polarised strongly tempered hyperspherical varieties

Recent work of Mao, Wan and Zhang has provided a complete list of strongly tempered hyperspherical varieties and they proposed some new period integrals. In this paper, I will present new period integrals of distinguished polarised strongly tempered hyperspherical varieties and discuss the L-functions these integrals represent, as examples of the Relative Langlands Duality.

math.NT↗

arXiv2026

Ginzburg's conjecture on the unramified computation of Eulerian integrals

In this paper, we prove a conjecture of D. Ginzburg on the unramified computation of an Eulerian global integral associated with a cuspidal automorphic representation of $\mathrm{GL}_{2r}$ and the generalised Speh representation $Δ(τ_2, r)$ attached to a cuspidal automorphic representation $τ_2$ of $\mathrm{GL}_2$. We also study an analogous Eulerian global integral involving degenerate Eisenstein series and compute its unramified local factors.

math.NT↗