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4 papers
Ramanujan's continued fractions of order as modular functions
Victor Manuel Aricheta, Russelle Guadalupe
We explore the modularity of the continued fractions and of order , where and are introduced by Rajkhowa and Saikia,…
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 .…
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 .…
Supersingular Elliptic Curves and Moonshine
Victor Manuel Aricheta
We generalize a theorem of Ogg on supersingular -invariants to supersingular elliptic curves with level. Ogg observed that the level one case yields a characterization of the pr…