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math.NT2025
Class numbers of binary quadratic polynomials
Zichen Yang
In this paper, we give a formula for the proper class number of a binary quadratic polynomial assuming that the conductor ideal is sufficiently divisible at dyadic places. This all…
math.NT2024
The bias conjecture for elliptic curves over finite fields and Hurwitz class numbers in arithmetic progressions
Ben Kane, Sudhir Pujahari, Zichen Yang
In this paper, we consider a version of the bias conjecture for second moments in the setting of elliptic curves over finite fields whose trace of Frobenius lies in an arbitrary fi…
math.NT2024
Local densities of quadratic polynomials over non-dyadic fields and unramified dyadic fields
Zilong He, Zichen Yang
In this paper, we prove formulas for local densities of quadratic polynomials over non-dyadic fields and over unramified dyadic fields.