New recurrences for divisor sum functions and triangular numbers
Reviewed by Pithpith:33GYGO46open to challenge →
classification
math.NT
keywords
divisorfunctionsnumbersrecurrencestriangularcertainconsequencediscovered
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Euler discovered recurrence for divisor sum functions as a consequence of the pentagonal numbers theorem. With similar idea and also motivated by Ewell's work in 1977, we prove new recurrences for certain divisor sum functions and triangular numbers.
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