Arithmetical notes. I. On a theorem of van der Corput
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References
- F. V. Atkinson and Cherwell, The mean-values of arithmetical functions, Quart. J. Math. Oxford Ser. 20 (1949), 65–79. MR 30562, DOI 10.1093/qmath/os-20.1.65 J. G. van der Corput, Sur quelques fonctions arithmétiques élémentaires, Proc. Roy. Acad. Sci. (Amsterdam) vol. 42 (1939) pp. 859-866. L. E. Dickson, History of the theory of numbers, Vol. I, reprinted New York, Chelsea, 1952. Konrod Knopp, Theory and application of infinite series, New York (corresponding to 4th German ed., 1947). Leopold Kronecker, Quelques remarques sur la détermination des valeurs moyennes, Comptes Rendues de l’Académie des Sciences Française vol. 103 (1886), pp. 980-987. G. Pólya and G. Szegö, Aufgaben und Lehrsätze der Analysis, Vol. I, 2d ed., Berlin, Springer-Verlag, 1954.
- Wilhelm Specht, Elementare Beweise der Primzahlsätze, Hochschulbücher für Mathematik, Band 30, VEB Deutscher Verlag der Wissenschaften, Berlin, 1956 (German). MR 0086829
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 12 (1961), 214-217
- MSC: Primary 10.43; Secondary 10.64
- DOI: https://doi.org/10.1090/S0002-9939-1961-0131387-0
- MathSciNet review: 0131387