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• W3112667220 abstract "The aim of this paper is to study class number relations over function fields and the intersections of Hirzebruch-Zagier type divisors on the Drinfeld-Stuhler modular surfaces. The main bridge is a particular harmonic theta series with nebentypus. Using the strong approximation theorem, the Fourier coefficients of this series are expressed in two ways; one comes from modified Hurwitz class numbers and another gives the intersection numbers in question. An elaboration of this approach enables us to interpret these class numbers as a mass sum over the CM points on the Drinfeld-Stuhler modular curves, and even realize the generating function as a metaplectic automorphic form." @default.
• W3112667220 created "2020-12-21" @default.
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• W3112667220 date "2020-12-15" @default.
• W3112667220 modified "2023-09-27" @default.
• W3112667220 title "On class number relations, intersections, and GL(2)-tale over the function field side" @default.
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• W3112667220 doi "https://doi.org/10.48550/arxiv.2012.08728" @default.
• W3112667220 hasPublicationYear "2020" @default.
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