Transactions of the American Mathematical Society, Vol. 349, No. 3 (Mar., 1997), pp. 903-934 (32 pages) For every finitely generated, congruence modular variety V of finite type we find a finite ...

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 ...

Time estimates for arithmetic and elementary number theory algorithms (division algorithm, Euclidean algorithm, congruences), modular arithmetic, finite fields, quadratic residues. Simple ...

Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...