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math.NT2026
The Minimal Absolute Value of Sums of Fifth Roots of Unity
Akihiro Munemasa, Guillermo Núñez Ponasso
We determine the minimal absolute value of a non-vanishing sum of fifth roots of unity chosen with repetition, and characterize the corresponding sums. As a function of , th…
math.NT2020★ 1 cited
Constellations in prime elements of number fields
Wataru Kai, Masato Mimura, Akihiro Munemasa +2
Given any number field, we prove that there exist arbitrarily shaped constellations consisting of pairwise non-associate prime elements of the ring of integers. This result extends…
math.NT2016★ 3 cited
A note on the Brawley-Carlitz theorem on irreducibility of composed products of polynomials over finite fields
Akihiro Munemasa, Hiroko Nakamura
We give a new proof of the Brawley-Carlitz theorem on irreducibility of the composed products of irreducible polynomials. Our proof shows that associativity of the binary operation…