On the roots of certain sequences of congruences

Daniel Berend

Acta Arithmetica (1994)

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

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Daniel 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

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  1. [B] D. Berend, IP-Sets on the circle, Canad. J. Math. 42 (1990), 575-589. Zbl0721.11025
  2. [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
  3. [E] P. Erdős, personal communication. 
  4. [F] H. Furstenberg, Recurrence in Ergodic Theory and Combinatorial Number Theory, Princeton University Press, Princeton, N.J., 1981. Zbl0459.28023
  5. [G] R. K. Guy, Problems from Western Number Theory Conferences, 1981, unpublished. 
  6. [NPP] C. Nelson, D. E. Penney and C. Pomerance, 714 and 715, J. Recreational Math. 7 (1974), 87-89 

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