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math.NT2018★ 1 cited
The power-saving Manin-Peyre's conjectures for a senary cubic
Sandro Bettin, Kevin Destagnol
Using recent work of the first author~\cite{Bet}, we prove a strong version of the Manin-Peyre's conjectures with a full asymptotic and a power-saving error term for the two variet…
math.NT2018
Rational points and prime values of polynomials in moderately many variables
Kevin Destagnol, Efthymios Sofos
We derive the Hasse principle and weak approximation for pencils of certain varieties in the spirit of work by Colliot-Thélène,Sansuc and Harpaz-Skorobogatov-Wittenberg. Our variet…