Authors establish the Erdős-Graham conjecture for large k and provide GRH-conditional counterexamples for small k using sieves and exponential sums.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Higher-order Alladi dualities are proved for global function fields and shown to govern the asymptotics of weighted Möbius sums restricted by smallest prime factor density.
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Binomial coefficients with divisors avoiding an interval
Authors establish the Erdős-Graham conjecture for large k and provide GRH-conditional counterexamples for small k using sieves and exponential sums.
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Higher Order Dualities over Global Function Fields and Weighted M\"{o}bius Sums over $\mathbb{F}_q{[T]}$
Higher-order Alladi dualities are proved for global function fields and shown to govern the asymptotics of weighted Möbius sums restricted by smallest prime factor density.