Pacific Journal of Mathematics

Arithmetical notes. III. Certain equally distributed sets of integers.

Eckford Cohen

Article information

Source
Pacific J. Math., Volume 12, Number 1 (1962), 77-84.

Dates
First available in Project Euclid: 14 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1103036708

Mathematical Reviews number (MathSciNet)
MR0175877

Zentralblatt MATH identifier
0106.26003

Subjects
Primary: 10.33

Citation

Cohen, Eckford. Arithmetical notes. III. Certain equally distributed sets of integers. Pacific J. Math. 12 (1962), no. 1, 77--84. https://projecteuclid.org/euclid.pjm/1103036708


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References

  • [1] Eckford Cohen, ArithmeticalNotes, II. An estimate of Erds and Szekeres, toappear in ScriptaMathematica.
  • [2] Eckford Cohen, Some sets of integers related to the k free integers, Acta Scientiarum Math- ematicarum (Szeged), 22 (1961), 223-233.
  • [3] Hubert Delange, Theoremes Tauberiens et applicationsarithmetiques,Memoires de la Societe Royale des Sciences de Liege (4), 15, No. 1 (1955).
  • [4] G. H. Hardy and E. M. Wright, Introduction to the Theory of Numbers, 3rd edition, Oxford, 1954.
  • [5] Konrad Knopp, Theory and Application of Infinite Series, 2nd English edition, 1951.
  • [6] Edmund Landau, Handbuch der Lehre von der Vortelung der Primzahlen, 2 (1909.)
  • [7] E. C. Titchmarsh, The Theory of Functions, 2nd edition, Oxford, 1939.

See also

  • Eckford Cohen. Arithmetical notes. I. On a theorem of van der Corput. I [MR 24 #A1239] Proc. Amer. Math. Soc. 12 1961 214--217.
  • Eckford Cohen. Arithmetical notes. {II}. An estimate of Erdős and Szekeres. II [MR 29 #74] Scripta Math. 26 1963 353--356 (1963).
  • Eckford Cohen. Arithmetical notes. {IV}. A set of integers related to the divisor function. IV [MR 26 #6103] J. Tennessee Acad. Sci. 37 1962 119--120.
  • Eckford Cohen. Arithmetical notes. V. A divisibility property of the divisor function. V [MR 24 #A1863] Amer. J. Math. 83 1961 693--697.
  • Eckford Cohen. Arithmetical notes. {VI}. Simultaneous binary compositions involving coprime pairs of integers. VI [MR 25 #3897] Michigan Math. J. 9 1962 277--282.
  • Eckford Cohen. Arithmetical notes. {VII}. Some classes of even functions {$({\rm mod}\,r)$}. VII [MR 32 #7476] Collect. Math. 16 1964 81--87.
  • Eckford Cohen. Arithmetical notes. {VIII}. An asymptotic formula of Rényi. VIII [MR 25 #2049] Proc. Amer. Math. Soc. 13 1962 536--539.
  • Eckford Cohen. Arithmetical notes. X. A class of totients. X [MR 29 #3424] Proc. Amer. Math. Soc. 15 1964 534--539.
  • Eckford Cohen. Arithmetical notes. {XI}. Some divisor identities. XI [MR 29 #2212] Enseignement Math. (2) 10 1964 248--254.
  • Eckford Cohen. Arithmetical notes. {XII}. A sequel to Note {VI}. XII [MR 28 #3964] Norske Vid. Selsk. Forh. (Trondheim) 36 1963 10--15.
  • Eckford Cohen. Arithmetical notes. {XIII}. A sequel to note {IV}. XIII [MR 26 #6104] Elem. Math. 18 1963 8--11.