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math.NT2022
Generalized Alder-Type Partition Inequalities
Liam Armstrong, Bryan Ducasse, Thomas Meyer +1
In 2020, Kang and Park conjectured a "level " Alder-type partition inequality which encompasses the second Rogers-Ramanujan Identity. Duncan, Khunger, the fourth author, and Tam…
math.NT2022
Generalized Ramanujan-Sato Series Arising from Modular Forms
Angelica Babei, Lea Beneish, Manami Roy +3
Motivated by work of Chan, Chan, and Liu, we obtain a new general theorem which produces Ramanujan-Sato series for . We then use it to construct explicit examples related to n…