On Franel-Kluyver integrals of order three

• Autorzy: J. C. Wilson
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1994
• Tom: 66
• Numer: 1
• Strony: 71-87

Daty

wydano

1994

otrzymano

1993-04-30

Twórcy

autor

J. C. Wilson

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

Bibliografia

• [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