Additive functions in short intervals, gaps and a conjecture of erdős

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  • who: Alexander P. Mangerel from the ArxivMontru00e9al, QC H T , Canada Department of Mathematical Sciences, Durham University, Upper Mountjoy Campus, Stockton have published the article: Additive functions in short intervals, gaps and a conjecture of Erdu0151s, in the Preprint: Arxiv
  • what: The authors show that if an additive function is almost everywhere non-decreasing then it is almost everywhere well approximated is sufficiently sparse and if g is not extremely large too often on the primes (in a precise sense) then g is identically equal to a constant times a logarithm. The aim of this . . .

     

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