Corpus ID: 119594911

A modified Gallagher's Lemma

  title={A modified Gallagher's Lemma},
  author={G. Coppola and Maurizio Laporta},
  journal={arXiv: Number Theory},
  • G. Coppola, Maurizio Laporta
  • Published 2012
  • Mathematics
  • arXiv: Number Theory
  • First we prove a modified version of the famous Lemma on the mean square estimate for exponential sums, by plugging the Cesaro weights in the right hand side of Gallagher's inequality. Then we apply it, in order to establish a mean value estimate for the Dirichlet polynomials. 
    2 Citations
    A generalization of Gallagher's lemma for exponential sums
    • 3
    • PDF
    Generations of Correlation Averages
    • 14
    • PDF