arXiv subjects

Konrad Zyhalko

Publications and source records attributed to Konrad Zyhalko.

2 recordsLinked to original sources

arXiv2026

Cusp Volumes and Rational Points on Spheres

In recent work on the Fourier coefficients of light-cone Eisenstein series arising in the problem of counting rational points on spheres, Kelmer and Yu conjectured that the leading coefficient in the asymptotic formula for the counting function is rational up to a volume factor. We prove this conjecture by showing that every cusp volume appearing in the corresponding light-cone Eisenstein series is rational.

math.NT↗

arXiv2026

On the number of finite additive 2-bases

The number of finite additive 2-bases is known to grow exponentially. While this fact has been established by Marzuola and Miller (2010) using complex analytic techniques embedded in the study of numerical sets, we provide a direct, short proof using elementary probabilistic arguments.

math.CO↗