7 citations · 11 across the 5 of their papers we have counts for
6 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 .…
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…
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…
Moonshine modules and a question of Griess
Victor Manuel Aricheta, Lea Beneish
We consider the situation in which a finite group acts on an infinite-dimensional graded module in such a way that the graded trace functions are weakly holomorphic modular forms.…