For every m except 7 and 9, the minimal number of generalized m-gonal numbers representing all integers is m-4 (or 3 or 4 for small m), with optimal repeated-sum versions also determined.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Fermat's polygonal number theorem for repeated generalized polygonal numbers
For every m except 7 and 9, the minimal number of generalized m-gonal numbers representing all integers is m-4 (or 3 or 4 for small m), with optimal repeated-sum versions also determined.