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ON THE INHOMOGENEOUS VINOGRADOV SYSTEM
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- Brandes, Julia, 1986 (author)
- Chalmers tekniska högskola,Chalmers University of Technology,Göteborgs universitet,University of Gothenburg
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- Hughes, Kevin (author)
- University of Bristol
- (creator_code:org_t)
- 2022
- 2022
- English.
- In: Bulletin of the Australian Mathematical Society. - 1755-1633 .- 0004-9727. ; 106:3, s. 396-403
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Diophantine equations
- exponential sums
Publication and Content Type
- art (subject category)
- ref (subject category)
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