Waring problem with factorials

Publisher: Cambridge University Press

E-ISSN: 1755-1633|71|2|259-264

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.71, Iss.2, 2005-04, pp. : 259-264

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Abstract

We show that any residue class λ modulo p can be represented in the form n1! +…+ n! ≡ λ (mod p) with ℓ = O((log p)3 log log p).