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Westlake AGNT seminar

2025-11-14 14:47:00
报告人 时间 15:00-16:00
地点 E4-233 2025
月日 12-04

Time:15:00-16:00, December 4 2025

Venue:E4-233


Speaker:Yichen Qin, Fudan University

Title:On Siegel's problem for G-functions

Abstract:G-functions are special power series of arithmetic nature that solve linear differential equations. A rich source of examples, first observed by Siegel, comes from algebraic substitutions of the classical Gauss hypergeometric series. In this talk, we show that not all G-functions arise in this way, thereby giving a negative answer to Siegel's problem for G-functions, as formulated by Fischler and Rivoal. (Joint work with Javier Fresán and Josh Lam)