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Hooley's delta function — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Hooley%27s_delta_function
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T14:23:31.317Z
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Hooley's delta function — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Hooley%27s_delta_function (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_df88c2ae2425 (Metraipolis archive dc_df88c2ae2425, sha256 c56f4ab137748c73e93e8588e06a0da56565cb25189f779f00fc3c5437eb9359)

BibTeX

@misc{dcdf88c2ae2425,
  title = {Hooley's delta function — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Hooley%27s_delta_function},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_df88c2ae2425; sha256 c56f4ab137748c73e93e8588e06a0da56565cb25189f779f00fc3c5437eb9359},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Hooley%27s_delta_function. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In mathematics, Hooley's delta function, also called Erdős--Hooley delta-function, defines the maximum number of divisors of n {\displaystyle n} in [ u , e u ] {\displaystyle [u,eu]} for all u {\displaystyle u} , where e {\displaystyle e} is Euler's number. It is usually denoted Δ ( n ) {\displaystyle \Delta (n)} . The first few terms of this sequence are 1 , 2 , 1 , 2 , 1 , 2 , 1 , 2 , 1 , 2 , 1 , 3 , 1 , 2 , 2 , 2 , 1 , 2 , 1 , 3 , 2 , 2 , 1 , 4 , … {\displaystyle 1,2,1,2,1,2,1,2,1,2,1,3,1,2,2,2,1,2,1,3,2,2,1,4,\dots } (sequence A226898 in the OEIS).

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; categoria «Number theory»).
Fonte: Wikipedia in inglese, voce «Hooley's delta function» — https://en.wikipedia.org/wiki/Hooley%27s_delta_function
Wikidata Q115945781 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q115945781
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Hooley%27s_delta_function?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1372299843, consultata il 2026-10-07T14:06:29.313Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 87e55fbe5c984d91268e272406019f547c252c8e6845c42eff3aaaeef0c5967f