Witness identities for three Ramanujan congruences

preprint2022arXivOpen access

Abstract

For the unrestricted partition function p(n)p(n) for integers n≥0n \geq 0, it is known that p(49n+19)≡0(mod49)p(49n + 19) \equiv 0 \pmod{49}, p(49n+33)≡0(mod49)p(49n + 33) \equiv 0 \pmod{49}, and p(49n+40)≡0(mod49)p(49n + 40) \equiv 0 \pmod{49} for all n≥0n \geq 0. We find witness identities for these Ramanujan congruences.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Reviews 0

Write a reviewWrite

No reviews yet.

Discussion 0

Add a commentWrite

No comments yet.