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math.NT2025
An expository review of the Chebyshev-Sylvester method in prime number theory
Tsogtgerel Gantumur
This paper gives a self-contained expository and computational account of the elementary methods developed by P.L. Chebyshev and J.J. Sylvester to obtain explicit bounds for the di…
hep-lat2025
Rotationally invariant dynamical lattice regulators for Euclidean quantum field theories
Tsogtgerel Gantumur
We introduce a dynamical lattice regulator for Euclidean quantum field theories on a fixed hypercubic graph , in which the embedding is pr…
math.AP2025
A direct proof of the equivalence between Dirichlet's principle and Perron's method
Tsogtgerel Gantumur
We give a short proof that for a bounded domain and continuous boundary data admitting a continuous finite-energy extension $ϕ\in H^{1}(Ω…