4 papers
The sectional number of a group homomorphism
Cesar A. Ipanaque Zapata, Joe Palacios
We explore the notion of sectional number of a group homomorphism, leading to a generalization of the covering number of a group, and present several characterizations when the sec…
Partitions into Sums of Two Squares
Jaime Palacios
We use a variation of the Circle Method, along with the Saddle Point Method, to obtain an asymptotic formula for the number of partitions of a number n into integers which are sums…
On polynomial automorphisms of Nagata type
Jorge A. C. Huarcaya, Joe Palacios
We define a family of polynomial ring homomorphisms generalizing the well-known Nagata automorphism. We establish necessary and sufficient conditions under which these homomorphism…
Invariants of stable maps from the 3-sphere to the Euclidean 3-space
N. B. Huamani, C. Mendes De Jesus, J. Palacios
In the present work, we study the decompositions of codimension-one transitions that alter the singular set the of stable maps of into the topological behavio…