A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Proof of a conjecture by Ahlgren and Ono on the non-existence of certain partition congruences
2013
Transactions of the American Mathematical Society
Preserved Fulltext
Let p(n) denote the number of partitions of n. Let A, B ∈ N with A > B and ≥ 5 a prime, such that Then we will prove that |A and 24B−1 = −1 . This settles an open problem by Scott Ahlgren and Ken Ono. Our proof is based on results by Deligne and Rapoport.
doi:10.1090/s0002-9947-2013-05777-7
fatcat:bn2rxcishna7bh3f4tpzrvwupu