On Franel-Kluyver integrals of order three

J. C. Wilson

Acta Arithmetica (1994)

  • Volume: 66, Issue: 1, page 71-87
  • ISSN: 0065-1036

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J. C. Wilson. "On Franel-Kluyver integrals of order three." Acta Arithmetica 66.1 (1994): 71-87. <http://eudml.org/doc/206593>.

@article{J1994,
author = {J. C. Wilson},
journal = {Acta Arithmetica},
keywords = {Franel-Kluyver integrals; Bernoulli polynomial; generalized Dedekind sums},
language = {eng},
number = {1},
pages = {71-87},
title = {On Franel-Kluyver integrals of order three},
url = {http://eudml.org/doc/206593},
volume = {66},
year = {1994},
}

TY - JOUR
AU - J. C. Wilson
TI - On Franel-Kluyver integrals of order three
JO - Acta Arithmetica
PY - 1994
VL - 66
IS - 1
SP - 71
EP - 87
LA - eng
KW - Franel-Kluyver integrals; Bernoulli polynomial; generalized Dedekind sums
UR - http://eudml.org/doc/206593
ER -

References

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  1. [1] L. Carlitz, Some theorems on generalized Dedekind-Rademacher sums, Pacific J. Math. 75 (1978), 347-358. Zbl0341.10011
  2. [2] J. Franel, Les suites de Farey et le problème des nombres premiers, Göttinger Nachr. 1924, 198-201. Zbl50.0119.01
  3. [3] G. R. H. Greaves, R. R. Hall, M. N. Huxley and J. C. Wilson, Multiple Franel integrals, Mathematika 40 (1993), 50-69. 
  4. [4] R. R. Hall, The distribution of squarefree numbers, J. Reine Angew. Math. 394 (1989), 107-117. Zbl0653.10040
  5. [5] R. R. Hall, Large irregularities in sets of multiples and sieves, Mathematika 37 (1990), 119-135. Zbl0708.11045
  6. [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. [7] E. C. Titchmarsh, The Theory of Functions, University Press, Oxford, 1939. Zbl0022.14602
  8. [8] E. T. Whittaker and G. N. Watson, Modern Analysis, University Press, Cambridge, 1945 

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