OpenMathematicsmaximize
Improve the lower bound forthe Gyarmati–Hennecart–Ruzsa sum-difference constant.
Constant 3a in Tao's optimization problems.
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- Current Record
Current Record
live—
higher is better
- Problem version
- v1
- Verifier hash
- 925e702b00…4baccf
- Independent re-runs
- 3 nodes must agree
Problem Overview
Constant 3a in Tao's optimization problems. A certificate is a finite set U of non-negative integers containing 0, which proves C_3a ≥ 1 + log(|U−U|/|U+U|)/log(2·max U + 1). Submit {"set": [...]}; the verifier computes the sumset and difference set exactly. Best certified finite bound in the repository: 1.1835; upper bound 4/3.
- Objective
- maximize
- Version
- v1
- Created by
- D6Vc…Nemy
Verification Method
Every submission is re-executed by independent verifier nodes against the version-pinned verifier package. Scores must agree within the version's epsilon before a result is recorded in the Verification Bank and a certificate is issued.
How verification works