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math.NT2026
On a Problem of Gordon and Hughes: The 11-adic Properties of Meromorphic Modular Functions on
Koustav Banerjee, Nicolas Allen Smoot
Congruence families occur throughout the theory of modular forms. These families superficially resemble one another, though they can vary substantially in their overall difficulty.…
math.NT2026
Conguences for Odd Unimodal Sequences and a Problem of Bringmann And Lovejoy
Koustav Banerjee, Manosij Ghosh Dastidar
In this paper, we give a family of the arithmetic progressions in which the numbers of odd unimodal and odd strongly unimodal sequences are divisible by 2 and by 4. In particular,…