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math.NT2026
Hasse-Witt invariants for trace forms of Jacobi polynomials
John Cullinan, Farshid Hajir, Elisabeth Young
In \cite{feit}, Feit used the Generalized Laguerre Polynomials (GLP) to prove that the groups and occur as Galois groups over $\Q$. Hajir, i…
math.NT2026
Kodaira-Neron statistics for rational elliptic curves with -invariant 0 and 1728
John Cullinan, Sebastian Sargenti
Elliptic curves over $\Q$ with -invariant 0 or 1728 have additive reduction at all primes of bad reduction. In addition, all elliptic curves with -invariant 0 have bad reduct…
math-ph2026
The Gibbs phenomenon for the Krawtchouk polynomials
John Cullinan, Elisabeth Young
We study the Fourier approximation of the sign function by the Krawtchouk polynomials. We give numerical evidence that the Gibbs phenomenon of the approximation dif…