Möbius function (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Möbius function" in English language version.

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Apostol 1976. Apostol, Tom M. (1976). Introduction to analytic number theory. Undergraduate Texts in Mathematics. New York; Heidelberg: Springer-Verlag. ISBN 978-0-387-90163-3. MR 0434929. Zbl 0335.10001.
Apostol 1976, §3.9. Apostol, Tom M. (1976). Introduction to analytic number theory. Undergraduate Texts in Mathematics. New York; Heidelberg: Springer-Verlag. ISBN 978-0-387-90163-3. MR 0434929. Zbl 0335.10001.
Popovici 1963, pp. 493–499. Popovici, Constantin P. (1963). "A generalization of the Möbius function". Studii şi Cercetări Matematice. 14: 493–499. MR 0181602.

archive.org

Hardy & Wright, Notes on ch. XVI: "... $\mu (n)$ occurs implicitly in the works of Euler as early as 1748, but Möbius, in 1832, was the first to investigate its properties systematically". (Hardy & Wright 1980, Notes on ch. XVI) Hardy, G. H.; Wright, E. M. (1980) [First edition published 1938]. An Introduction to the Theory of Numbers (5th ed.). Oxford: Oxford University Press. ISBN 978-0-19-853171-5 – via Internet Archive.
Hardy & Wright 1980, (16.6.4), p. 239. Hardy, G. H.; Wright, E. M. (1980) [First edition published 1938]. An Introduction to the Theory of Numbers (5th ed.). Oxford: Oxford University Press. ISBN 978-0-19-853171-5 – via Internet Archive.

cern.ch

cds.cern.ch

Bost & Connes 1995, pp. 411–457. Bost, J.-B.; Connes, Alain (1995). "Hecke Algebras, Type III factors and phase transitions with spontaneous symmetry breaking in number theory". Selecta Mathematica. New Series. 1 (3): 411–457. doi:10.1007/BF01589495. S2CID 116418599.

digizeitschriften.de

Möbius 1832, pp. 105–123. Möbius, A. F. (1832). "Über eine besondere Art von Umkehrung der Reihen". Journal für die reine und angewandte Mathematik. 9: 105–123.

doi.org

Bost & Connes 1995, pp. 411–457. Bost, J.-B.; Connes, Alain (1995). "Hecke Algebras, Type III factors and phase transitions with spontaneous symmetry breaking in number theory". Selecta Mathematica. New Series. 1 (3): 411–457. doi:10.1007/BF01589495. S2CID 116418599.

semanticscholar.org

api.semanticscholar.org

Bost & Connes 1995, pp. 411–457. Bost, J.-B.; Connes, Alain (1995). "Hecke Algebras, Type III factors and phase transitions with spontaneous symmetry breaking in number theory". Selecta Mathematica. New Series. 1 (3): 411–457. doi:10.1007/BF01589495. S2CID 116418599.

uwaterloo.ca

cs.uwaterloo.ca

Kline 2020. Kline, Jeffery (2020). "Unital Sums of the Möbius and Mertens Functions" (PDF). Journal of Integer Sequences. 23 (8): 1–17.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Möbius Function". mathworld.wolfram.com. Retrieved 1 October 2024.

zbmath.org

Apostol 1976. Apostol, Tom M. (1976). Introduction to analytic number theory. Undergraduate Texts in Mathematics. New York; Heidelberg: Springer-Verlag. ISBN 978-0-387-90163-3. MR 0434929. Zbl 0335.10001.
Apostol 1976, §3.9. Apostol, Tom M. (1976). Introduction to analytic number theory. Undergraduate Texts in Mathematics. New York; Heidelberg: Springer-Verlag. ISBN 978-0-387-90163-3. MR 0434929. Zbl 0335.10001.
Sándor & Crstici 2004, p. 107. Sándor, Jozsef; Crstici, Borislav (2004). Handbook of number theory II. Dordrecht: Kluwer Academic. ISBN 1-4020-2546-7. Zbl 1079.11001.