Diophantine approximation by square-free numbers
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1984)
- Volume: 11, Issue: 3, page 353-359
- ISSN: 0391-173X
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topBalog, A., and Perelli, A.. "Diophantine approximation by square-free numbers." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 11.3 (1984): 353-359. <http://eudml.org/doc/83936>.
@article{Balog1984,
author = {Balog, A., Perelli, A.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {character sums; mean-value theorem for Dirichlet polynomials},
language = {eng},
number = {3},
pages = {353-359},
publisher = {Scuola normale superiore},
title = {Diophantine approximation by square-free numbers},
url = {http://eudml.org/doc/83936},
volume = {11},
year = {1984},
}
TY - JOUR
AU - Balog, A.
AU - Perelli, A.
TI - Diophantine approximation by square-free numbers
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1984
PB - Scuola normale superiore
VL - 11
IS - 3
SP - 353
EP - 359
LA - eng
KW - character sums; mean-value theorem for Dirichlet polynomials
UR - http://eudml.org/doc/83936
ER -
References
top- [1] A. Balog, A remark on the distribution of αp mod. one, to appear.
- [2] W.J. Ellison, Les Nombres Premiers, Hermann, Paris, 1975. Zbl0313.10001MR417077
- [3] D.R. Heath-Brown, The least square-free number in an arithmetical progression, J. reine angew. Math., 332 (1982), pp. 204-220. Zbl0493.10045MR656864
- [4] H.L. Montgomery, Topics in Multiplicative Number Theory, Springer Lecture Notes, n°. 227, 1971. Zbl0216.03501MR337847
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