Traction 发表于 2025-3-21 18:11:46
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Faiza Khan Khattak,Ansaf Salleb-AouissiHalberstam, and, in modified form, at the October 2014 workshop at the Royal Swedish Academy of Sciences, Stockholm, on the occasion of the presentation to Yitang Zhang of the 2014 Rolf Schock Prize in Mathematics for his ground-breaking work on bounded gaps between primes.FACT 发表于 2025-3-22 08:58:23
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Infinite Sumsets with Many Representations,≥ 2, and that every sufficiently large integer in the sumset . has at least . representations. If . = 2, then ., where .(.) counts the number of integers . ∈ . such that 1 ≤ . ≤ .. Lower bounds for .(.) are also obtained for . ≥ 3.heart-murmur 发表于 2025-3-23 07:08:23
Remarks on Fibers of the Sum-of-Divisors Function,h .. This answers in the affirmative a question of Erdős. We also show that for almost all of the elements . of ., the members of the fiber . all share the same largest prime factor. We describe an application of the second result to the theory of L.E. Dickson’s amicable tuples, which are a generalization of the ancient notion of an amicable pair.