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== References == *{{Citation|doi=10.4169/193009709X470128|first1=Amir|last1=Akbary|first2=Zachary|last2=Friggstad|title=Superabundant numbers and the Riemann hypothesis|url=http://webdocs.cs.ualberta.ca/~zacharyf/Papers/superabundant.pdf|journal=American Mathematical Monthly|volume=116|issue=3|year=2009|pages=273–275|url-status=dead|archive-url=https://web.archive.org/web/20140411041855/http://webdocs.cs.ualberta.ca/~zacharyf/papers/superabundant.pdf|archive-date=2014-04-11}}. *{{Apostol IANT}} * [[Eric Bach|Bach, Eric]]; [[Jeffrey Shallit|Shallit, Jeffrey]], ''Algorithmic Number Theory'', volume 1, 1996, MIT Press. {{ISBN|0-262-02405-5}}, see page 234 in section 8.8. * {{Citation | last1=Caveney | first1=Geoffrey | last2=Nicolas | first2=Jean-Louis|author2-link=Jean-Louis Nicolas | last3=Sondow | first3=Jonathan | title=Robin's theorem, primes, and a new elementary reformulation of the Riemann Hypothesis | url=http://www.integers-ejcnt.org/l33/l33.pdf | year=2011 | journal=INTEGERS: The Electronic Journal of Combinatorial Number Theory | volume=11 | pages=A33| bibcode=2011arXiv1110.5078C | arxiv=1110.5078 }} *{{Citation | last1=Choie | first1=YoungJu | author1-link= YoungJu Choie | last2=Lichiardopol | first2=Nicolas | last3=Moree | first3=Pieter | author3-link=Pieter Moree | last4=Solé | first4=Patrick | title=On Robin's criterion for the Riemann hypothesis | mr=2394891 | zbl=1163.11059 | arxiv=math.NT/0604314 | year=2007 | journal=Journal de théorie des nombres de Bordeaux | issn=1246-7405 | volume=19 | issue=2 | pages=357–372 | doi=10.5802/jtnb.591| s2cid=3207238 }} *{{citation | last1 = Gioia | first1 = A. A. | last2 = Vaidya | first2 = A. M. | doi = 10.2307/2315280 | journal = [[The American Mathematical Monthly]] | jstor = 2315280 | mr = 220659 | pages = 969–973 | title = Amicable numbers with opposite parity | volume = 74 | year = 1967| issue = 8 }} * {{Citation | last1=Grönwall | first1=Thomas Hakon | author1-link=Thomas Hakon Grönwall | title=Some asymptotic expressions in the theory of numbers | year=1913 | journal=Transactions of the American Mathematical Society | volume=14 | issue=1 | pages=113–122 | doi=10.1090/S0002-9947-1913-1500940-6| doi-access=free }} * {{Citation | last1=Hardy | first1=G. H. | author1-link=G. H. Hardy | last2=Wright | first2=E. M. | author2-link=E. M. Wright | edition=6th | others=Revised by [[Roger Heath-Brown|D. R. Heath-Brown]] and [[Joseph H. Silverman|J. H. Silverman]]. Foreword by [[Andrew Wiles]]. | title=An Introduction to the Theory of Numbers | publisher=[[Oxford University Press]] | location=Oxford | isbn=978-0-19-921986-5 | mr=2445243 | zbl=1159.11001 | year=2008 | orig-year=1938}} * {{citation | last=Ivić | first=Aleksandar | title=The Riemann zeta-function. The theory of the Riemann zeta-function with applications | series=A Wiley-Interscience Publication | location=New York etc. | publisher=John Wiley & Sons | year=1985 | isbn=0-471-80634-X | zbl=0556.10026 | pages=385–440 }} * {{Citation | last1=Lagarias | first1=Jeffrey C. | author1-link=Jeffrey C. Lagarias | title=An elementary problem equivalent to the Riemann hypothesis | doi=10.2307/2695443 | jstor=2695443 | mr=1908008 | year=2002 | journal=[[American Mathematical Monthly|The American Mathematical Monthly]] | issn=0002-9890 | volume=109 | issue=6 | pages=534–543| arxiv=math/0008177 | s2cid=15884740 }} * {{citation | first1 = Calvin T. | last1 = Long | year = 1972 | title = Elementary Introduction to Number Theory | edition = 2nd | publisher = [[D. C. Heath and Company]] | location = Lexington | lccn = 77171950 }} * {{citation | first1 = Anthony J. | last1 = Pettofrezzo | first2 = Donald R. | last2 = Byrkit | year = 1970 | title = Elements of Number Theory | publisher = [[Prentice Hall]] | location = Englewood Cliffs | lccn = 77081766 }} * {{Citation | last=Ramanujan | first=Srinivasa | author-link=Srinivasa Ramanujan | title=Highly composite numbers, annotated by Jean-Louis Nicolas and Guy Robin | doi=10.1023/A:1009764017495 | mr=1606180 | year=1997 | journal=The Ramanujan Journal | issn=1382-4090 | volume=1 | issue=2 | pages=119–153| s2cid=115619659 }} * {{Citation | last1=Robin | first1=Guy | title=Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann | mr=774171 | year=1984 | journal=[[Journal de Mathématiques Pures et Appliquées]]|series= Neuvième Série | issn=0021-7824 | volume=63 | issue=2 | pages=187–213}} * {{citation | last=Williams | first=Kenneth S. | title=Number theory in the spirit of Liouville | zbl=1227.11002 | series=London Mathematical Society Student Texts | volume=76 | location=Cambridge | publisher=[[Cambridge University Press]] | isbn=978-0-521-17562-3 | year=2011 }}
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