Lehner's 1949 results on the j-invariant showed high divisibility of the function's coefficients by the primes p ∈ {2, 3, 5, 7}. Expanding his results, we examine a canonical basis for the space of ...
We prove the existence of a module for the largest Mathieu group, whose trace functions are weight 2 quasimodular forms. Restricting to the subgroup fixing a point, we see that the integrality of ...
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