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Some Applications of Fourier series in the Analytic Theory of Numbers

Published online by Cambridge University Press:  24 October 2008

L. J. Mordell
L. J. Mordell
Affiliation:
formerly of St John's College
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Extract

It is a familiar fact that an important part is played in the Analytic Theory of Numbers by Fourier series. There are, for example, applications to Gauss' sums, to the zeta functions, to lattice point problems, and to formulae for the class number of quadratic fields.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 24 , Issue 4 , October 1928 , pp. 585 - 596
Copyright
Copyright © Cambridge Philosophical Society 1928

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References

REFERENCES

(1)Landau, , Handbuch der Lehre von der Verteilung der Primzahlen (1909).Google Scholar
(2)Landau, , Vorlesungen über Zahlentkeorie (1927).Google Scholar
(3)Courant, und Hilbert, , Methoden der Mathematischen Physik (1924).CrossRefGoogle Scholar
(4)Lerch, , “Essais sur le calcul du nombre des classes de formes quadratiques binaires aux coefficients entiers,” M´evioires présentés Acad. Sci. Paris, vol. XXXIII, No. 2 (1908) (244 pp.).Google Scholar
Full notes were published in the Acta Math. vol. xxix (1905), pp. 334–424; vol. xxx (1906), pp. 203–;293.Google Scholar