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Waring problem with factorials

Published online by Cambridge University Press:  17 April 2009

Moubariz Z. Garaev ,
Florian Luca  and
Igor E. Shparlinski
Moubariz Z. Garaev
Affiliation:
Instituto de Matemáticas, Universidad Nacional Autónoma de México, C.P. 58180, Morelia, Michoacán, México, e-mail: [email protected], [email protected]
Florian Luca
Affiliation:
Instituto de Matemáticas, Universidad Nacional Autónoma de México, C.P. 58180, Morelia, Michoacán, México, e-mail: [email protected], [email protected]
Igor E. Shparlinski
Affiliation:
Department of Computing, Macquarie University, Sydney, NSW 2109, Australia, e-mail: [email protected]
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We show that any residue class λ modulo p can be represented in the form n1! +…+ nℓ! ≡ λ (mod p) with ℓ = O((log p)3 log log p).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 2 , April 2005 , pp. 259 - 264
Copyright
Copyright © Australian Mathematical Society 2005

References

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