8 citations · 18 across the 19 of their papers we have counts for
19 papers
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…
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…
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…
The Endomorphism Rings of Supersingular Elliptic Curves over and the Binary Quadratic Forms
Guanju Xiao, Zijian Zhou, Yingpu Deng +1
It is well known that there is a one-to-one correspondence between supersingular -invariants up to the action of and type classes of…
Supersingular -invariants and the Class Number of
Guanju Xiao, Lixia Luo, Yingpu Deng
For a prime , let be the discriminant of an imaginary quadratic order with . We research the solutions of the class polynomial mo…
On two problems about isogenies of elliptic curves over finite fields
Lixia Luo, Guanju Xiao, Yingpu Deng
Isogenies occur throughout the theory of elliptic curves. Recently, the cryptographic protocols based on isogenies are considered as candidates of quantum-resistant cryptographic p…