# On the roots of certain sequences of congruences

Acta Arithmetica (1994)

- Volume: 67, Issue: 1, page 97-104
- ISSN: 0065-1036

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top## How to cite

topDaniel Berend. "On the roots of certain sequences of congruences." Acta Arithmetica 67.1 (1994): 97-104. <http://eudml.org/doc/206620>.

@article{DanielBerend1994,

author = {Daniel Berend},

journal = {Acta Arithmetica},

keywords = {roots of congruences; circle group; -set; density modulo one; dense parallelepipeds; upper bound; least positive solution},

language = {eng},

number = {1},

pages = {97-104},

title = {On the roots of certain sequences of congruences},

url = {http://eudml.org/doc/206620},

volume = {67},

year = {1994},

}

TY - JOUR

AU - Daniel Berend

TI - On the roots of certain sequences of congruences

JO - Acta Arithmetica

PY - 1994

VL - 67

IS - 1

SP - 97

EP - 104

LA - eng

KW - roots of congruences; circle group; -set; density modulo one; dense parallelepipeds; upper bound; least positive solution

UR - http://eudml.org/doc/206620

ER -

## References

top- [B] D. Berend, IP-Sets on the circle, Canad. J. Math. 42 (1990), 575-589. Zbl0721.11025
- [BO] D. Berend and C. F. Osgood, On the equation P(x)=n! and a question of Erdős, J. Number Theory 42 (1992), 189-193. Zbl0762.11010
- [E] P. Erdős, personal communication.
- [F] H. Furstenberg, Recurrence in Ergodic Theory and Combinatorial Number Theory, Princeton University Press, Princeton, N.J., 1981. Zbl0459.28023
- [G] R. K. Guy, Problems from Western Number Theory Conferences, 1981, unpublished.
- [NPP] C. Nelson, D. E. Penney and C. Pomerance, 714 and 715, J. Recreational Math. 7 (1974), 87-89

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