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math.NT2019
A new proof of Legendre's theorem on the Diophantine equation
Jingbo Liu, Bruce McOsker
One of Legendre's theorems on the Diophantine equation provides necessary and sufficient conditions on the existence of nonzero rational solutions of this equati…
math.CV2019
On the value distribution of the Riemann zeta-function and the Euler gamma-function
Qi Han, Jingbo Liu, Qiong Wang
We prove some uniqueness results for the Riemann zeta-function and the Euler gamma-function by virtue of shared values using the value distribution theory.