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| A002322
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Reduced totient function psi(n): least k such that x^k == 1 (mod n) for all x prime to n; also known as the Carmichael lambda function (exponent of unit group mod n); also called the universal exponent of n.
(history;
published version)
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#78 by Bruno Berselli at Fri Jan 30 14:13:20 EST 2015
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#77 by Michel Marcus at Fri Jan 30 11:48:44 EST 2015
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#76 by Michel Marcus at Fri Jan 30 11:48:25 EST 2015
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| LINKS
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A. Cauchy, Memoire sur la resolution des equations indeterminees du premier degre en nombres entiers, <a href="http://gallica.bnf.fr/scripts/ConsultationTout.exe?E=0&O=N090204">Oeuvres Complètes</a>. Gauthier-Villars, Paris, 1882-1938, Series (2), Vol. 12, pp. 9-47.
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#75 by Michel Marcus at Fri Jan 30 11:47:59 EST 2015
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A. Cauchy, Mémoire sur la résolution des équations indéterminees du premier degré en nombres entiers, <a href="http://gallica.bnf.fr/ark:/12148/bpt6k90204r/f12.image.r">Oeuvres Complètes</a>. Gauthier-Villars, Paris, 1882-1938, Series (2), Vol. 12, pp. 9-47.
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| STATUS
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approved
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#74 by Alois P. Heinz at Tue Dec 30 18:12:40 EST 2014
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#73 by Alois P. Heinz at Tue Dec 30 18:12:35 EST 2014
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| MAPLE
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with(numtheory); A002322 := lambda; [seq(lambda(n), n=1..)]; ..100)];
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approved
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#72 by N. J. A. Sloane at Mon Dec 08 02:48:20 EST 2014
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#71 by Michel Marcus at Mon Dec 08 00:22:47 EST 2014
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#70 by Jon E. Schoenfield at Sun Dec 07 21:25:45 EST 2014
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#69 by Jon E. Schoenfield at Sun Dec 07 21:25:43 EST 2014
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| LINKS
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A. Cauchy, Memoire sur la resolution des equations indeterminees du premier degre en nombres entiers, <a href="http://gallica.bnf.fr/scripts/ConsultationTout.exe?E=0&O=N090204">Oeuvres Compl\`{e}ètes</a>. Gauthier-Villars, Paris, 1882-1938, Series (2), Vol. 12, pp. 9-47.
J.-H. Evertse and E. van Heyst, <a href="http://dx.doi.org/10.1007/3-540-46877-3_8">Which new RSA signatures can be computed from some given RSA signatures?</a>, Proceedings of Eurocrypt' '90, Lect. Notes Comput. Sci., 473, Springer-Verlag, pp. 84-97, see page 86.
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approved
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