2016/07/30 by Carlos Rojas Mena, Mena, Carlos Rojas
Computer Science · Mathematics · #Analytic Number Theory Research #Computability, Logic, AI Algorithms #FOS: Mathematics #Mathematical and Theoretical Analysis #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1608.00157
openalex publication_date 2016/07/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
Using Robert Spira's \citeD definitions of complex Mersenne numbers and the complex sum-of-divisors function, we characterize (ω+2)-norm-perfect and (ω+2)-perfect numbers that are divisble by ω+2 and prove the nonexistence of 2-norm-perfect numbers that are divisible by 2 in the Eisenstein integers.