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math.NT2025
On the Quadratic Structure of Torsors over Affine Group Schemes
Philippe Cassou-Noguès, Martin J. Taylor
Let be a finite and flat group scheme over the ring of algebraic integers of a number field and suppose that the generic fiber of $\mathcal{G…
math.NT2025
Parity of the partition function in quadratic progressions
Ken Ono, Ashvin Swaminathan
The parity of the partition function is one of the most stubborn problems in number theory. In 2010, the first author conjectured, for square-free , t…