Peter Chocian

works on

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

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

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.GM2026

Character Fourier Spectra of Circular Units and Twisted Bernoulli Class Components

Peter Chocian

The paper studies Fourier spectra of circular units attached to primitive odd Dirichlet characters, relating them to divided Bernoulli values and class‑field components, and provid…

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…