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math.NT2026
The existence of small defining polynomials for number fields
Manjul Bhargava, Sameera Vemulapalli
We prove that every number field of degree and absolute discriminant has a defining integral polynomial of degree whose coefficients are all in size, thu…
math.NT2026
Local Factors in the BSD Conjecture: A Unified Statistical View
David Kurniadi Angdinata, Kenny Lau, Ken Ono +2
For elliptic curves in short Weierstrass form \[ E=E(a_4,a_6): y^2=x^3+a_4x+a_6, \] we derive a multivariable Euler product generating function which encodes the Tam…