ON THE MULTIPLICATIVE ORDER OF n MODULO n For every positive integer n and every integer a coprime to Documents

ON THE MULTIPLICATIVE ORDER OF n MODULO nFor every positive integer n and every integer a coprime to n, we denote by On(a) the multiplicative order of a modulo n, i.e. the smallest Documents

ar X iv :0 90 2. 43 66 v1 m at h. N T 2 5 Fe b 20 09 ON THE MULTIPLICATIVE ORDER OF an MODULO n Jonathan Chappelon February 25, 2009 Abstract Let n be a positive integer…

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SECTION 5.6 DIVIDE AND CONQUER II ‣ master theorem ‣ integer multiplication ‣ matrix multiplication ‣ convolution and FFT 36 Fourier analysis Fourier theorem. Fourier,…

arXiv:2006.15439v1 [math.NT] 27 Jun 2020 · We write the prime factorization of G nas G n= Y p p p(G n) (1.2) where p(G n) = ord p(G(n)). Since G n is an integer, p(G n) 0 for all Documents

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APPROXIMATIONS TO , DEDEKIND’S ETA FUNCTION AND …sequence fﬁng1 n=1 recursively for which lim n!1 ﬁn = 1 …: Let p be an integer ‚ 1. We say a sequence fﬁng1 n=1 converges Documents

APPROXIMATIONS TO π, DEDEKIND’S ETA FUNCTION AND MODULAR EQUATIONS By AMITAVA GHOSH A THESIS PRESENTED TO THE GRADUATE SCHOOL OF THE UNIVERSITY OF FLORIDA IN PARTIAL FULFILLMENT…

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The Abundancy Index of Divisors of Spoof Odd Perfect Numbers€¦ · If Nis a positive integer, then we write ˙(N) for the sum of the divisors of N. A number Nis erfepct if ˙(N) Documents

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Eﬃcient Algorithms for Sparse Cyclotomic Integer Zero …qcheng/paper/spj.pdfgiven primitive nth root of unity ζ n. A priori f(ζ n) may be nonzero and doubly exponentially small Documents

Efficient Algorithms for Sparse Cyclotomic Integer Zero Testing Qi Cheng∗ Sergey P Tarasov† Mikhail N Vyalyi‡ October 29 2008 Abstract We present two deterministic…

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