Download PDF - On Franel-Kluyver integrals of order threeAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

On Franel-Kluyver integrals of order three

Authors 1

Affiliations

  1. Department of Mathematics, University of York, York YO1 5DD, U.K.

Bibliography

  1. L. Carlitz, Some theorems on generalized Dedekind-Rademacher sums, Pacific J. Math. 75 (1978), 347-358.
  2. J. Franel, Les suites de Farey et le problème des nombres premiers, Göttinger Nachr. 1924, 198-201.
  3. G. R. H. Greaves, R. R. Hall, M. N. Huxley and J. C. Wilson, Multiple Franel integrals, Mathematika 40 (1993), 50-69.
  4. R. R. Hall, The distribution of squarefree numbers, J. Reine Angew. Math. 394 (1989), 107-117.
  5. R. R. Hall, Large irregularities in sets of multiples and sieves, Mathematika 37 (1990), 119-135.
  6. J. C. Kluyver, An analytical expression for the greatest common divisor of two integers, Proc. Roy. Acad. Amsterdam, Vol. V.II, (1903), 658-662.
  7. E. C. Titchmarsh, The Theory of Functions, University Press, Oxford, 1939.
  8. E. T. Whittaker and G. N. Watson, Modern Analysis, University Press, Cambridge, 1945
Acta Arithmetica
1994/66/1
Export to PBN, Opens in new tab
Pages:
71-87
Main language of publication
English
Received
1993-04-30
Published
1994
Exact and natural sciences