2 citations · 3 across the 3 of their papers we have counts for
4 papers
Divisibility of the Sums of the Power of Consecutive Integers
Tian-Xiao He, Peter J. -S. Shiue
We study the divisibility of the sums of the odd power of consecutive integers, and for odd integers and , by using…
Revisiting the general cubic: A simplification of Cardano's solution
Hsin-Chieh Liao, Peter Jao-Shyong Shiue, Mark Saul
Motivated by the recent work of William Y.C. Chen, in which he presents a way to solve cubic equations by considering the identity of Sylvester, we investigate the solutions obtain…
On the Solutions of Three Variable Frobenius Related Problems Using Order Reduction Approach
Tian-Xiao He, Peter J. -S. Shiue, Rama Venkat
This paper presents a new approach to determine the number of solutions of three variable Frobenius related problems and to find their solutions by using order reducing methods. He…
Novel Theorems and Algorithms Relating to the Collatz Conjecture
Michael R. Schwob, Peter Shiue, Rama Venkat
Proposed in 1937, the Collatz conjecture has remained in the spotlight for mathematicians and computer scientists alike due to its simple proposal, yet intractable proof. In this p…