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A PROOF OF MERCA'S CONJECTURES ON SUMS OF ODD DIVISOR FUNCTIONS.
- Source :
- Bulletin of the Australian Mathematical Society; Apr2022, Vol. 105 Issue 2, p197-201, 5p
- Publication Year :
- 2022
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- GENERATING functions
LOGICAL prediction
GEOMETRIC congruences
POLYGONAL numbers
Subjects
Details
- Language :
- English
- ISSN :
- 00049727
- Volume :
- 105
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Bulletin of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 155723063
- Full Text :
- https://doi.org/10.1017/S0004972721000678