Peter Chocian

collaborators

4 papers

math.NT2026

The Primitive Generalized Fermat Equation x^3+y^5=z^7: A computer-assisted proof

Peter Chocian

We prove that the generalized Fermat equation $x^{3} + y^{5} = z^{7}$ has no solution in nonzero coprime integers, and we make explicit how the proof extends the prior work cited below. Dahm…

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

Let $χ$ be a primitive odd Dirichlet character of conductor $f$ . For the universal projector polynomials $P_{m}$ introduced in arXiv:2607.23177, defined by $\sum_m P_m(X)Y^m = -\log(…

math.NT2026

Explicit Twisted Hilbert Class Components Beyond Classical Irregularity

Peter Chocian

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