On sporadic sequences
arXiv:2312.07134 · doi:10.1007/s00605-024-01994-8
Abstract
In this note, we prove the last remaining case of the original 15 two-term supercongruence conjectures for sporadic sequences. The proof utilizes a new representation for this sequence (due to Gorodetsky) as the constant term of powers of a Laurent polynomial.
15 pages, added Section 4, to appear in Monatshefte für Mathematik
References in corpus (7)
- Supercongruences for sporadic sequences
- q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon
- Supercongruences for Apery-like numbers
- A supercongruence for generalized Domb numbers
- Congruences via modular forms
- Sequences, modular forms and cellular integrals
- Dwork crystals III: from excellent Frobenius lifts towards supercongruences