A Sharp Constant for Sums of Two Fractional Parts: A Complete Solution to CGMO 2024, Problem 3

Complete solution to CGMO 2024 Problem 3; proves the sharp constant 2/3 for sums of two fractional parts, with an explicit closed-form witness and exhaustive computational verification.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22750047
Primary Topic
Numerical Methods and Algorithms
Type
preprint
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preprint

A Sharp Constant for Sums of Two Fractional Parts: A Complete Solution to CGMO 2024, Problem 3

Amirhossein MoradiSizkouhi
Zenodo (CERN European Organization for Nuclear Research)
Numerical Methods and Algorithms
preprint

A Sharp Constant for Sums of Two Fractional Parts: A Complete Solution to CGMO 2024, Problem 3

Amirhossein MoradiSizkouhi
preprint en

Abstract

Complete solution to CGMO 2024 Problem 3; proves the sharp constant 2/3 for sums of two fractional parts, with an explicit closed-form witness and exhaustive computational verification.

Zenodo (CERN European Organization for Nuclear Research)
Imam Khomeini International University (IR)
Numerical Methods and Algorithms
DOIOpen Access PDFOpenAlex
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A Sharp Constant for Sums of Two Fractional Parts: A Complete Solution to CGMO 2024, Problem 3 — Amirhossein MoradiSizkouhi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS