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Most totally real fields do not have universal forms or the Northcott property. [PDF]

open access: yesProc Natl Acad Sci U S A
Daans N   +4 more
europepmc   +1 more source

The shifted convolution problem in function fields. [PDF]

open access: yesMath Ann
Florea A, Lalín M, Malik A, Sahay A.
europepmc   +1 more source

The failure of the Ehlers-Kundt conjecture in the impulsive case. [PDF]

open access: yesGen Relativ Gravit
Frauenberger ML   +2 more
europepmc   +1 more source

Small solutions of generic ternary quadratic congruences to general moduli

open access: yes
We study small non-trivial solutions of quadratic congruences of the form $x_1^2+α_2x_2^2+α_3x_3^2\equiv 0 \bmod{q}$, with $q$ being an odd natural number, in an average sense.
Baier, Stephan, Chattopadhyay, Aishik
core  

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