A pseudo twin primes theorem

Research output: Chapter in Book/Report/Conference proceedingChapter

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Selberg identified the "parity" barrier that sieves alone cannot distinguish between integers having an even or odd number of factors. We give here a short and self-contained demonstration of parity breaking using bilinear forms, modeled on the twin primes conjecture.

Original languageEnglish (US)
Title of host publicationMultiple Dirichlet Series, L-functions and Automorphic Forms
PublisherBirkhauser Boston
Number of pages12
ISBN (Electronic)9780817683344
ISBN (Print)9780817683337
StatePublished - Jan 1 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • Bilinear forms
  • Exponential sums
  • Piatetski-Shapiro primes


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