Some mean-value theorems for exponential sums

E. Bombieri; H. Iwaniec

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1986)

  • Volume: 13, Issue: 3, page 473-486
  • ISSN: 0391-173X

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Bombieri, E., and Iwaniec, H.. "Some mean-value theorems for exponential sums." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 13.3 (1986): 473-486. <http://eudml.org/doc/83988>.

@article{Bombieri1986,
author = {Bombieri, E., Iwaniec, H.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Riemann zeta-function; exponential sums; mean-value theorems},
language = {eng},
number = {3},
pages = {473-486},
publisher = {Scuola normale superiore},
title = {Some mean-value theorems for exponential sums},
url = {http://eudml.org/doc/83988},
volume = {13},
year = {1986},
}

TY - JOUR
AU - Bombieri, E.
AU - Iwaniec, H.
TI - Some mean-value theorems for exponential sums
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1986
PB - Scuola normale superiore
VL - 13
IS - 3
SP - 473
EP - 486
LA - eng
KW - Riemann zeta-function; exponential sums; mean-value theorems
UR - http://eudml.org/doc/83988
ER -

References

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  1. [1] E. Bombieri - H. Iwaniec, On the order of ζ(1/2 + it), Ann. Scuola Norm. Sup. Pisa, Cl. Sci., 13, no. 3 (1986), pp. 449-472. Zbl0615.10047
  2. [2] G.H. Hardy - J.E. Littlewood, Some problems of diophantine approximation, Collected papers of G. H. Hardy, Oxford, 1966, pp. 193-238. 
  3. [3] D.R. Heath-Brown, The Pjateckij-Šapiro prime number theorem, J. Number Theory, 46 (1983), pp. 242-266. Zbl0513.10042MR698168
  4. [4] L. Hörmander, The existence of wave operators in scattering theory, Math. Z., 446 (1976), pp. 69-91. Zbl0319.35059MR393884
  5. [5] E.C. Titchmarsh, The theory of the Riemann Zeta-function, Oxford, 1951. Zbl0042.07901MR46485
  6. [6] R.C. Vaughan, The Hardy-Littlewood Method, Cambridge, 1982. Zbl0455.10034MR628618
  7. [7] I.M. Vinogradov, Izbrannye Trudy, Moscow, 1952. 

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