Peter Chocian

works on

bernoulli numbers 1 circular units 1 class field theory 1 computational number theory 1 dirichlet characters 1

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math.NT2026

Twisted Bernoulli Zeros in Quasi-Linear Time: Distribution, Depth, and Explicit Hilbert Class Components

Peter Chocian

The divided generalized Bernoulli values $b_{χ, j} = f B_{1, χ ω^{- j}} mod p$ , for $χ$ an odd primitive Dirichlet character of conductor $f$ and order $d$ with $d ∣ p - 1$ , control…

math.NT2026

Explicit Twisted Hilbert Class Components Beyond Classical Irregularity

Peter Chocian

Let $p \equiv 1 (mod 6)$ be prime and $K_{p} = Q (I^¶_{3 p})$ . We study the reflected circular unit $I^¼_{p} = (1 + z I^¶_{p}) / (1 + z ˉ I^¶_{p})$ , $z = - I^¶_{3}^{2}$ , and its character projecti…