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math.NT2023
Density results for the parity of -singular overpartitions
Victor Manuel Aricheta, Jerome Dimabayao, Hazel Joy Shi
The -singular overpartitions, combinatorial objects introduced by Andrews in 2015, are known to satisfy Ramanujan-type congruences modulo any power of prime coprime to .…
math.NT2023★ 1 cited
Minimal Excludant over Overpartitions
Victor Manuel R. Aricheta, Judy Ann L. Donato
Define the minimal excludant of an overpartition , denoted , to be the smallest positive integer that is not a part of the non-overlined parts of .…
math.NT2023★ 1 cited
Analogue of Ramanujan's function for the continued fraction of order six
Russelle Guadalupe, Victor Manuel Aricheta
Motivated by the recent work of Park on the analogue of the Ramanujan's function for the Ramanujan's cubic continued fraction, where is the Rogers-Ramanuj…