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math.NT2014
An explicit approach to the Ahlgren-Ono conjecture
Geoffrey D. Smith, Lynnelle Ye
Let be the partition function. Ahlgren and Ono conjectured that every arithmetic progression contains infinitely many integers for which is not congruent to $0\pm…
math.NT2014
Bounded gaps between primes in special sequences
Lynn Chua, Soohyun Park, Geoffrey D. Smith
We use Maynard's methods to show that there are bounded gaps between primes in the sequence , where is an irrational number of finite type. In addition,…
math.NT2014
Congruence properties of Taylor coefficients of modular forms
Hannah Larson, Geoffrey Smith
In their work, Serre and Swinnerton-Dyer study the congruence properties of the Fourier coefficients of modular forms. We examine similar congruence properties, but for the coeffic…