The theory of differentially closed fields in logics with cardinal quantifiers.
The theory of Archimedean real closed fields in logics with Ramsey quantifiers
Generalized Archimedean fields and logics with Malitz quantifiers
Congruence properties of the number of solutions of some equations.
The number of zeroes of x3 + y3 + cz3 in certain finite fields.
On the difference of cubes (mod p)
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