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math.NT2016
The Hasse principle for systems of quadratic and cubic diagonal equations
Julia Brandes
Employing Brüdern's and Wooley's new complification method, we establish an asymptotic Hasse principle for the number of solutions to a system of r_3 cubic and r_2 quadratic diagon…
math.NT2016
Linear spaces on hypersurfaces over number fields
Julia Brandes
We establish an analytic Hasse principle for linear spaces of affine dimension m on a complete intersection over an algebraic field extension K of Q. The number of variables requir…