2 citations · 2 across the 4 of their papers we have counts for
5 papers
Characterization of polynomials by their invariance properties
J. M. Amira, Ya-Qing Hu
We prove that certain classical groups serve to characterize ordinary polynomials in real variables as elements of finite-dimensional subs…
Reflecting Numbers of Various Types, I
Ya-Qing Hu
The purpose of this paper is to introduce the concept of reflecting numbers to the realm of number theory and to classify reflecting numbers of certain types. For us, reflecting nu…
Polynomial maps and polynomial sequences in groups
Ya-Qing Hu
This paper develops a theory of polynomial maps from commutative semigroups to arbitrary groups and proves that it has desirable formal properties when the target group is locally…
Waring's Problem For Locally Nilpotent Groups: The Case of Discrete Heisenberg Groups
Ya-Qing Hu
Kamke \cite{Kamke1921} solved an analog of Waring's problem with th powers replaced by integer-valued polynomials. Larsen and Nguyen \cite{LN2019} explored the view of algebraic…
-graded quasialgebras and the Hurwitz problem on compositions of quadratic forms
Ya-Qing Hu, Hua-Lin Huang, Chi Zhang
We introduce a series of -graded quasialgebras $\bbP_n(m)$ which generalizes Clifford algebras, higher octonions, and higher Cayley algebras. The constructed series of alge…