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Prescribin the binary digits of the primes, II
Prescribin the binary digits of the primes, II
- Publication Year :
- 2013
-
Abstract
- We obtain the expected asymptotic formula for the number of primes $p<N=2^n$ with $r$ prescribed (arbitrarly placed) binary digits, provided $r<cn$ for a suitable constant $c>0$. This result improves on our earlier result where $r$ was assumed to satisfy $r<c(\frac n{\log n})^{4/7}$.<br />Comment: 16 pages
- Subjects :
- Mathematics - Number Theory
11N05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1307.0398
- Document Type :
- Working Paper