Waring problem with factorials

Moubariz Z. Garaev; Florian Luca; Igor E. Shparlinski

Waring problem with factorials

Moubariz Z. Garaev^*, Florian Luca, Igor E. Shparlinski

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We show that any residue class λ modulo p can be represented in the form n₁! +⋯+ n_ℓ = λ (mod p) with ℓ = 0((log p)³ log log p). Copyright Clearance Centre, Inc.

Original language	English
Pages (from-to)	259-264
Number of pages	6
Journal	Bulletin of the Australian Mathematical Society
Volume	71
Issue number	2
Publication status	Published - Apr 2005

Cite this

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title = "Waring problem with factorials",

abstract = "We show that any residue class λ modulo p can be represented in the form n1! +⋯+ nℓ = λ (mod p) with ℓ = 0((log p)3 log log p). Copyright Clearance Centre, Inc.",

author = "Garaev, {Moubariz Z.} and Florian Luca and Shparlinski, {Igor E.}",

year = "2005",

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AU - Luca, Florian

AU - Shparlinski, Igor E.

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JO - Bulletin of the Australian Mathematical Society

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Waring problem with factorials

Abstract

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