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Higher derivatives of the Gram function

Marius Dundulis, Ramūnas Garunkštis, Antanas Laurinčikas, Raivydas Šimėnas

Source record

Source: arXiv

Published: Oct 12, 2026

arXiv: 2610.17349

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Source abstract

We study the nonlinear phenomenon of the asymptotics of higher-order derivatives of the Gram function tut_u. We also prove the uniform distribution and continuous uniform distribution modulo one of tunt^n_u for n=1,2,…n = 1, 2, \dots. We use AI to formalize our proofs in Lean.

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Higher derivatives of the Gram function — Mathematical Frontier Network