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math.NT2026
Uniform cubic bounds for irrational values of the dilogarithm
Hu Tan, Ying Zhang
We study explicit denominator conditions ensuring the irrationality of the dilogarithm at positive and negative rational points. We prove that is irratio…
math.NT2026
A Proof of Fraenkel's Conjecture
Hu Tan, Ying Zhang
Fraenkel's conjecture asserts that a partition of the integers into at least three Beatty sequences with distinct moduli has the binary densities , normalized…