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math.NTSep 27, 2007
10
citations (OpenAlex)
authors
  • C. P. Hughes
  • Matthew P. Young
institutions
  • Texas A&M University
  • University of York
arXiv abstractPDF
paper

The twisted fourth moment of the Riemann zeta function

arXiv:0709.2345 · doi:10.1515/CRELLE.2010.034

Abstract

We compute the asymptotics of the fourth moment of the Riemann zeta function times an arbitrary Dirichlet polynomial of length T1/11−ε

arXiv comment28 pages. v2: added references

Cited by in corpus (2)

  • Moments and distribution of central L-values of quadratic twists of elliptic curves
  • Mean values of long Dirichlet polynomials with divisor coefficients
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