Photo by jrkorpa from unsplash
Abstract Merca [‘Congruence identities involving sums of odd divisors function’, Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci. 22(2) (2021), 119–125] posed three conjectures on congruences for… Click to show full abstract
Abstract Merca [‘Congruence identities involving sums of odd divisors function’, Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci. 22(2) (2021), 119–125] posed three conjectures on congruences for specific convolutions of a sum of odd divisor functions with a generating function for generalised m-gonal numbers. Extending Merca’s work, we complete the proof of these conjectures.
Keywords:
divisor functions;
proof merca;
odd divisor;
merca conjectures;
sums odd
Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!