𝔖 Bobbio Scriptorium
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Formulas for sums of powers of integers by functional equations

✍ Scribed by Donald R. Snow

Book ID
105698546
Publisher
Springer
Year
1978
Tongue
English
Weight
659 KB
Volume
18
Category
Article
ISSN
0001-9054

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πŸ“œ SIMILAR VOLUMES

Integers divisible by sums of powers of
Integers divisible by sums of powers of their prime factors
✍ Jean-Marie De Koninck; Florian Luca πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 115 KB

For each positive integer j , let β j (n) := p|n p j . Given a fixed positive integer k, we show that there are infinitely many positive integers n having at least two distinct prime factors and such that β j (n) | n for each j ∈ {1, 2, . . . , k}.

The Frobenius problem, sums of powers of
The Frobenius problem, sums of powers of integers, and recurrences for the Bernoulli numbers
✍ Hans J.H. Tuenter πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 139 KB

In the Frobenius problem with two variables, one is given two positive integers a and b that are relative prime, and is concerned with the set of positive numbers NR that have no representation by the linear form ax + by in nonnegative integers x and y. We give a complete characterization of the set