40 citations · 118 across the 23 of their papers we have counts for
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math.NT2018
Longer gaps between values of binary quadratic forms
Rainer Dietmann, Christian Elsholtz
Let be the sequence of positive integers, arranged in increasing order, that are representable by any binary quadratic form of fixed discriminant . We show th…
math.NT2018★ 6 cited
Rational lines on cubic hypersurfaces
Julia Brandes, Rainer Dietmann
We show that any smooth projective cubic hypersurface of dimension at least over the rationals contains a rational line. A variation of our methods provides a similar result o…
math.NT2018★ 18 cited
Enumerative Galois theory for cubics and quartics
Sam Chow, Rainer Dietmann
We show that there are monic, cubic polynomials with integer coefficients bounded by in absolute value whose Galois group is . We also…