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.
No takes yet. Share an insight, caveat, or question.
Konrad Zyhalko (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: