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A positive integer whose abundancy index is greater than that of any lesser positive integer.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, number-theory, sciences
Examples
- 1984, Richard K. Guy (editor), Reviews in Number Theory 1973-83, Volume 4, Part 1, As printed in Mathematical Reviews, American Mathematical Society, page 173, The authors prove a theorem: If Q(X) is the number of superabundant numbers ≦X, then for c<5/48,Q(X)≧( log X)1+c for sufficiently large X.
- 1995, József Sándor, Dragoslav S. Mitrinović, Borislav Crstici, Handbook of Number Theory I, Springer, page 111, 1) A number n is called superabundant if (σ(n))/n>(σ(m))/m for all m with 1Corollary. Q(x)>c log x log log x/( log log log x)2.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Used other than figuratively or idiomatically: see superabundant, number.
Definition source: English Wiktionary via Wiktextract
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
No etymology was provided for this word.
Across languages
Translations
4 source translations are retained for this English entry.
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Finnish:
ylirunsas luku
— positive integer whose abundancy index is greater than that of any lesser positive integer
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French:
nombre superabondant
— positive integer whose abundancy index is greater than that of any lesser positive integer
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Polish:
liczba supernadmiarowa
— positive integer whose abundancy index is greater than that of any lesser positive integer
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Polish:
liczba supernadmierna
— positive integer whose abundancy index is greater than that of any lesser positive integer
