Local Oscillations in Moderately Dense Sequences of Primes

  • Jörg Brüdern
  • Christian Elsholtz


The distribution of differences of consecutive members of sequences of primes is investigated. A quantitative measure for oscillations among these differences is the curvature of the sequence. If the sequence is not too sparse, then sharp estimates for its curvature are provided.

2010 Mathematics Subject Classification




The authors are grateful to CIRM at Marseille Luminy for creating a stimulating working atmosphere. The second author also likes to thank Forschungsinstitut Mathematik (FIM) at ETH Zürich for a very pleasant stay.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Mathematisches InstitutGöttingenGermany
  2. 2.Institut für Analysis und ZahlentheorieTechnische Universität GrazGrazAustria

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