2 citations · 3 across the 3 of their papers we have counts for
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On Artin's conjecture: linear slices of diagonal hypersurfaces
Jörg Brüdern, Olivier Robert
Artin's conjecture is established for all forms that can be realised as a diagonal form on an hyperplane.
Local oscillations in moderately dense sequences of primes
Jörg Brüdern, Christian Elsholtz
The distribution of differences of consecutive members of sequences of primes is investigated. A quantitative measure for oscillations among these differences is the curvature of t…
Rational points on the inner product cone via the hyperbola method
Valentin Blomer, Jörg Brüdern
A strong quantitative form of Manin's conjecture is established for a certain variety in biprojective space. The singular integral in an application of the circle method involves t…
Random diophantine equations, I
Jörg Brüdern, Rainer Dietmann
We consider additive diophantine equations of degree in variables and establish that whenever then almost all such equations satisfy the Hasse principle. The eq…