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- Brandes, Julia, 1986, et al.
(författare)
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ON THE INHOMOGENEOUS VINOGRADOV SYSTEM
- 2022
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Ingår i: Bulletin of the Australian Mathematical Society. - 1755-1633 .- 0004-9727. ; 106:3, s. 396-403
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Tidskriftsartikel (refereegranskat)abstract
- We show that the system of equations Sigma(s)(i=1)(x(i)(j) - y(i)(j)) = a(j) (1 <= j <= k) has appreciably fewer solutions in the subcritical range s < 1/2k(k + 1) than its homogeneous counterpart, provided that al not equal 0 for some l <= k - 1. Our methods use Vinogradov's mean value theorem in combination with a shifting argument.
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