The quarter-sum ladder and the weight-two congruences, formalized in Lean

Let p ≡ 1 (mod 8) be prime and χ a quartic character modulo p, so that χ is even and w = χ(2) = ±1. Put Q = (p − 1)/4, let R_r count the 0 < n < p/4 with χ(n) = i^r, and let Ω = Σ_{0<n

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-30
DOI
https://doi.org/10.5281/zenodo.23797239
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

The quarter-sum ladder and the weight-two congruences, formalized in Lean

Joseph S. Farland
9 links
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

The quarter-sum ladder and the weight-two congruences, formalized in Lean

Joseph S. Farland
preprint en

Abstract

Let p ≡ 1 (mod 8) be prime and χ a quartic character modulo p, so that χ is even and w = χ(2) = ±1. Put Q = (p − 1)/4, let R_r count the 0 < n < p/4 with χ(n) = i^r, and let Ω = Σ_{0<n

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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The quarter-sum ladder and the weight-two congruences, formalized in Lean — Joseph S. Farland · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS