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Möbius function
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==Sources== {{refbegin|35em}} * {{Cite book |last1=Abramowitz |first1=Milton |title=Handbook of mathematical functions: with formulas, graphs and mathematical tables [conference under the auspices of the National science foundation and the Massachusetts institute of technology] |last2=Stegun |first2=Irene A. |date=1972 |publisher=Dover |isbn=978-0-486-61272-0 |series=Dover books on advanced mathematics |location=New York |orig-year=1964}} *{{Cite book |last=Apostol |first=Tom M. |author-link=Tom M. Apostol |title=Introduction to analytic number theory |publisher=Springer-Verlag |year=1976 |isbn=978-0-387-90163-3 |series=Undergraduate Texts in Mathematics |location=New York; Heidelberg |mr=0434929 |zbl=0335.10001}} *{{Cite journal |last1=Bost |first1=J.-B. |last2=Connes |first2=Alain |year=1995 |title=Hecke Algebras, Type III factors and phase transitions with spontaneous symmetry breaking in number theory |url=https://cds.cern.ch/record/283504 |journal=Selecta Mathematica |series=New Series |volume=1 |issue=3 |pages=411–457 |doi=10.1007/BF01589495 |s2cid=116418599}} *{{Cite journal |last1=Deléglise |first1=Marc |last2=Rivat |first2=Joël |year=1996 |title=Computing the summation of the Möbius function |url=https://projecteuclid.org/euclid.em/1047565447 |journal=Experimental Mathematics |volume=5 |issue=4 |pages=291–295 |doi=10.1080/10586458.1996.10504594 |s2cid=574146}} *{{Cite book |last=Edwards |first=Harold |author-link=Harold Edwards (mathematician) |title=Riemann's Zeta Function |date=1974 |publisher=Dover Publications |isbn=0-486-41740-9 |location=Mineola, New York}} *{{Cite book |last=Gauss |first=Carl Friedrich |author-link=Carl Friedrich Gauss |title=Untersuchungen uber hohere Arithmetik (Disquisitiones Arithemeticae & other papers on number theory) |publisher=Chelsea |year=1965 |isbn=0-8284-0191-8 |edition=2nd |location=New York |translator-last=Maser |translator-first=H.}} *{{Cite book |last=Gauss |first=Carl Friedrich |author-link=Carl Friedrich Gauss |title=Disquisitiones Arithemeticae |publisher=[[Springer Science+Business Media|Springer]] |year=1986 |isbn=0-387-96254-9 |edition=corrected 2nd |location=New York |translator-last=Clarke |translator-first=Arthur A.}} *{{Cite book |last1=Hardy |first1=G. H. |author-link1=G. H. Hardy |url=https://archive.org/details/introductiontoth00hard |title=An Introduction to the Theory of Numbers |last2=Wright |first2=E. M. |author-link2=E. M. Wright |date=1980 |publisher=[[Oxford University Press]] |isbn=978-0-19-853171-5 |edition=5th |location=Oxford |url-access=registration |via=[[Internet Archive]] |orig-year=First edition published 1938 <!-- need to note this, otherwise readers will query how he managed to write this book, when he died in 1947 -->}} *{{Cite journal |last=Kline |first=Jeffery |year=2020 |title=Unital Sums of the Möbius and Mertens Functions |url=https://cs.uwaterloo.ca/journals/JIS/VOL23/Kline/kline4.pdf |journal=Journal of Integer Sequences |volume=23 |issue=8 |pages=1–17}} *{{Cite book |last=Jacobson |first=Nathan |author-link=Nathan Jacobson |title=Basic algebra I |publisher=Dover Publications |year=2009 |isbn=978-0-486-47189-1 |edition=2nd |orig-year=First published 1985}} * {{springer| title = Möbius function | last = Klimov | first = N. I. | id = m/m064280 }} *{{Cite journal |last=Möbius |first=A. F. |author-link=August Ferdinand Möbius |year=1832 |title=Über eine besondere Art von Umkehrung der Reihen |url=https://www.digizeitschriften.de/en/dms/img/?PID=GDZPPN002138654 |journal=[[Crelle's Journal|Journal für die reine und angewandte Mathematik]] |volume=9 |pages=105–123}} *{{Cite web |last=Pegg |first=Ed Jr |author-link=Ed Pegg Jr. |date=2003 |title=The Möbius function (and squarefree numbers) |url=http://www.mathpuzzle.com/MAA/02-Mobius%20Function/mathgames_11_03_03.html |website=Ed Pegg's Math Games |mode=cs2}} *{{Cite journal |last=Popovici |first=Constantin P. |year=1963 |title=A generalization of the Möbius function |journal=Studii şi Cercetări Matematice |volume=14 |pages=493–499 |mr=0181602}} *{{Cite book |last1=Sándor |first1=Jozsef |title=Handbook of number theory II |last2=Crstici |first2=Borislav |publisher=Kluwer Academic |year=2004 |isbn=1-4020-2546-7 |location=Dordrecht |zbl=1079.11001}} *{{Cite book |title=Handbook of number theory I |publisher=[[Springer-Verlag]] |year=2006 |isbn=1-4020-4215-9 |editor-last=Sándor |editor-first=József |location=Dordrecht |pages=187–226 |zbl=1151.11300 |editor-last2=Mitrinović |editor-first2=Dragoslav S. |editor-last3=Crstici |editor-first3=Borislav}} {{refend}}
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