Convolution congruences for the partition function
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY(2007)
摘要
Ahlgren and Boylan recently proved the uniqueness of the Ramanujan congruences for the primes 5, 7, and 11 by using the modularity of a certain partition function. Here we use their result to find universal congruences, of a different type, which hold for the partition function modulo all primes l >= 5.
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