Geodesic
New Estimate in Vinogradov's Mean-Value Theorem
Matematičeskie zametki, Tome 89 (2011) no. 2, pp. 285-299

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We refine the upper bound for the Vinogradov integral.
Keywords: Vinogradov's mean-value theorem, Vinogradov integral, Weyl sum, exponential sums, Waring's problem, Riemann zeta function.
Mots-clés : Diophantine equation 
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     author = {S. N. Preobrazhenskii},
     title = {New {Estimate} in {Vinogradov's} {Mean-Value} {Theorem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {285--299},
     publisher = {mathdoc},
     volume = {89},
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     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_2_a10/}
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S. N. Preobrazhenskii. New Estimate in Vinogradov's Mean-Value Theorem. Matematičeskie zametki, Tome 89 (2011) no. 2, pp. 285-299. http://geodesic.mathdoc.fr/item/MZM_2011_89_2_a10/