Author

Peter Chocian

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Review Aug 2026

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

The divided generalized Bernoulli values $b_{\chi,j} = fB_{1,\chi\omega^{-j}} \bmod p$, for $\chi$ an odd primitive Dirichlet character of conductor $f$ and order $d$ with $d \mid p-1$, control (for $p \nmid \varphi(f)$) the odd isotypic components of the $p$-class group of $Q(\zeta_{fp})$ through the characterwise abe...

Peter Chocian · 0 citations

Preprint Jul 2026

Explicit Twisted Hilbert Class Components Beyond Classical Irregularity

Let $p \equiv 1 \pmod 6$ be prime and $K_p = \mathbf{Q}(\zeta_{3p})$. We study the reflected circular unit $\mu_p = (1+z\zeta_p)/(1+\bar z\zeta_p)$, $z = -\zeta_3^2$, and its character projections. A universal Stirling polynomial $P_m$ gives an exact identity between the anti-spectrum of $\mu_p$ and the primitive divid...

Peter Chocian · 2 citations · ⚡1