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math.NT2023★ 1 cited
Convergence, Finiteness and Periodicity of Several New Algorithms of p-adic Continued Fractions
Zhaonan Wang, Yingpu Deng
-adic continued fractions, as an extension of the classical concept of classical continued fractions to the realm of -adic numbers, offering a novel perspective on number rep…
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…
math.NT2022
Finding Sums of Four Squares via Complex Continued Fractions
Zhaonan Wang, Yingpu Deng
The problem of representing a given positive integer as a sum of four squares of integers has been widely concerned for a long time, and for a given positive odd one can find a…