combinatorics / q-series and partitions

The Han-Xiong Integer Trace Conjecture

Settles the conjecture for a large family and reduces the rest to unit fractions; the general unit-fraction case remains open.

5Significance / 100
1Frontier events
0Verification tasks
0Recorded attempts

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combinatoricsJul 31, 2026Significance 5/100Registry: lean checked

The Han-Xiong Integer Trace Conjecture

Prior state unknown→proved

Settles the conjecture for a large family and reduces the rest to unit fractions; the general unit-fraction case remains open.

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Settles the conjecture for a large family and reduces the rest to unit fractions; the general unit-fraction case remains open.

Settles the conjecture for a large family and reduces the rest to unit fractions; the general unit-fraction case remains open.

Recorded attempts

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Connected research record

The Han-Xiong Integer Trace Conjecture — Mathematical Frontier Network