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math.NT2023
On -adic Gram-Schmidt Orthogonalization Process
Yingpu Deng
In his famous book ``Basic Number Theory", Weil proved several theorems about the existence of norm-orthogonal bases in finite-dimensional vector spaces and lattices over local fie…
math.NT2023
On Periodicity of Continued fractions with Partial Quotients in Quadratic Number Fields
Zhaonan Wang, Yingpu Deng
The properties of continued fractions whose partial quotients belong to a quadratic number field K are distinct from those of classical continued fractions. Unlike classical contin…