Diophantine approximation in short intervals

C. Viola

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1979)

  • Volume: 6, Issue: 4, page 703-717
  • ISSN: 0391-173X

How to cite

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Viola, C.. "Diophantine approximation in short intervals." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 6.4 (1979): 703-717. <http://eudml.org/doc/83826>.

@article{Viola1979,
author = {Viola, C.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {irrational number; Farey sequences},
language = {eng},
number = {4},
pages = {703-717},
publisher = {Scuola normale superiore},
title = {Diophantine approximation in short intervals},
url = {http://eudml.org/doc/83826},
volume = {6},
year = {1979},
}

TY - JOUR
AU - Viola, C.
TI - Diophantine approximation in short intervals
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1979
PB - Scuola normale superiore
VL - 6
IS - 4
SP - 703
EP - 717
LA - eng
KW - irrational number; Farey sequences
UR - http://eudml.org/doc/83826
ER -

References

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  1. [1] J.W.S. Cassels, An Introduction to Diophantine Approximation, Cambridge Tracts in Mathematics and Mathematical Physics, vol. 45, (Cambridge1957). Zbl0077.04801MR120219
  2. [2] G.H. Hardy - J.E. Littlewood, Some problems of Diophantine approximation : a series of cosecants, Collected papers of G. H. Hardy, vol. I, Oxford University Press (1966), pp. 237-252. 
  3. [3] G.H. Hardy - E.M. Wright, An Introduction to the Theory of Numbers, fourth edition, Oxford University Press (1960). Zbl0086.25803MR67125
  4. [4] A. Ya. Khinchin, Continued fractions (English translation. The University of Chicago Press, 1964). Zbl0117.28601MR161833
  5. [5] G. Papi Frosali, On the stability of the Dirichlet problem for the vibrating string equation, Ann. Scuola Norm. Sup. Pisa, 6 (1979), pp. 719-728. Zbl0429.35043MR563341

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