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math.GR2025
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…
math.NT2025
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…