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math.NT2024
Beyond uniform cyclotomy
Sophie Huczynska, Laura Johnson, Maura B. Paterson
Cyclotomy, the study of cyclotomic classes and cyclotomic numbers, is an area of number theory first studied by Gauss. It has natural applications in discrete mathematics and infor…
math.CO2024
Additive triples in groups of odd prime order
Sophie Huczynska, Jonathan Jedwab, Laura Johnson
Let be an odd prime. For nontrivial proper subsets of of cardinality , respectively, we count the number of additive triples, namely elemen…