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math.NT2026
Quasimodular Forms, Partitions, and Primes in Intervals
Kevin Allen, William Craig
Recent developments in theories of partitions, quasimodular forms, multiple zeta values and -multiple zeta values have led to connections between partitions and primes. Central…
math.NT2026
Universal Ramanujan-type congruences for prime-detecting quasimodular forms
Bailey Chrobak, William Craig
We establish the existence of infinitely many Ramanujan-type congruences which hold uniformly for the full -module of prime detecting quasimodular forms. In particular, we prov…