Sums of distinct residues mod p

Öystein J. Rödseth

Acta Arithmetica (1993)

  • Volume: 65, Issue: 2, page 181-184
  • ISSN: 0065-1036

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Öystein J. Rödseth. "Sums of distinct residues mod p." Acta Arithmetica 65.2 (1993): 181-184. <http://eudml.org/doc/206569>.

@article{ÖysteinJ1993,
author = {Öystein J. Rödseth},
journal = {Acta Arithmetica},
keywords = {number of sums of different residue classes modulo primes; Erdős-Heilbronn conjecture},
language = {eng},
number = {2},
pages = {181-184},
title = {Sums of distinct residues mod p},
url = {http://eudml.org/doc/206569},
volume = {65},
year = {1993},
}

TY - JOUR
AU - Öystein J. Rödseth
TI - Sums of distinct residues mod p
JO - Acta Arithmetica
PY - 1993
VL - 65
IS - 2
SP - 181
EP - 184
LA - eng
KW - number of sums of different residue classes modulo primes; Erdős-Heilbronn conjecture
UR - http://eudml.org/doc/206569
ER -

References

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  1. [1] W. Brakemeier, Ein Beitrag zur additiven Zahlentheorie, Dissertation, Tech. Univ. Braunschweig, 1973. 
  2. [2] W. Brakemeier, Eine Anzahlformel von Zahlen modulo n, Monatsh. Math. 85 (1978), 277-282. Zbl0395.10006
  3. [3] A. L. Cauchy, Recherches sur les nombres, J. École Polytech. 9 (1813), 99-116. 
  4. [4] I. Chowla, A theorem on the addition of residue classes, Proc. Indian Acad. Sci. 2 (1935), 242-243. Zbl0012.24701
  5. [5] H. Davenport, On the addition of residue classes, J. London Math. Soc. 10 (1935), 30-32. Zbl0010.38905
  6. [6] H. Davenport, A historical note, J. London Math. Soc. 22 (1947), 100-101. 
  7. [7] P. Erdős, Some problems in number theory, in: Computers in Number Theory, A. O. L. Atkin and B. J. Birch (eds.), Academic Press, 1971, 405-414. 
  8. [8] P. Erdős and R. L. Graham, Old and New Problems and Results in Combinatorial Number Theory, Enseign. Math., Genève, 1980. Zbl0434.10001
  9. [9] P. Erdős and H. Heilbronn, On the addition of residue classes mod p, Acta Arith. 9 (1964), 149-159. Zbl0156.04801
  10. [10] G. A. Freiman, Foundations of a Structural Theory of Set Addition, Transl. Math. Monographs 37, Amer. Math. Soc., Providence, R.I., 1973. Zbl0271.10044
  11. [11] R. K. Guy, Unsolved Problems in Number Theory, Springer, New York, 1981. 
  12. [12] W. A. McWorter, On a theorem of Mann, Amer. Math. Monthly 71 (1964), 285-286. Zbl0122.26501
  13. [13] J. M. Pollard, A generalisation of the theorem of Cauchy and Davenport, J. London Math. Soc. 8 (1974), 460-462. Zbl0322.10024
  14. [14] J. M. Pollard, Addition properties of residue classes, J. London Math. Soc. 11 (1975), 147-152. Zbl0314.10039
  15. [15] U.-W. Rickert, Über eine Vermutung in der additiven Zahlentheorie, Dissertation, Tech. Univ. Braunschweig, 1976. 

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