We study the existence of a modular form satisfying a certain congruence relation. The existence of such modular forms plays an important role in the determination of the structure of a ring of ...
Let Tn(x) denote the n'th Tchebycheff polynomial, and let p be an odd prime. For any integer x, the rank of its residue class modulo p is defined to be the least positive integer r for which Tr(x) ≡ 1 ...
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