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math.NT2022
Malle's conjecture with multiple invariants
Fabian Gundlach
We define invariants of Galois extensions of number fields with a fixed Galois group. Then, we propose a heuristic in the spirit o…
math.NT2013★ 10 cited
Integral Brauer-Manin obstructions for sums of two squares and a power
Fabian Gundlach
We use Brauer-Manin obstructions to explain failures of the integral Hasse principle and strong approximation away from infinity for the equation x^2+y^2+z^k=m with fixed integers…