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Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/195607
Description: We give upper and lower bounds on the count of positive integers n <= x dividing the nth term of a non-degenerate linearly recurrent sequence with simple roots.
Full Text: Full Text
Reviewed: Reviewed
Date: 2009
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/129794
Description: 13 page(s)
Reviewed: Reviewed
Date: 2005
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1155272
Description: 13 page(s)
Reviewed: Reviewed
Date: 2010
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/128922
Description: An x-pseudopower to base g is a positive integer that is not a power of g, yet is so modulo p for all primes p ≤ x. We improve an upper bound for the least such number, due to E. Bach, R. Lukes, J. Sh ... More
Reviewed: Reviewed
Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/129099
Description: We show that the average and typical ranks in a certain parametric family of elliptic curves described by D. Ulmer tend to infinity as the parameter d - ∞. This is perhaps unexpected since by a result ... More
Reviewed: Reviewed
Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/126837
Description: In this paper we investigate the asymptotic effectiveness of the Gaudry–Hess–Smart Weil descent attack and its generalization to the discrete logarithm problem for elliptic curves over characteristic- ... More
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Reviewed: Reviewed
Date: 2009
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/118660
Description: Introduced by Kraitchik and Lehmer, an x-pseudosquare is a positive integer n ≡ I (mod 8) that is a quadratic residue for each odd prime p ≤ x, yet is not a square. We use bounds of character sums to ... More
Date: 2004
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/119955
Description: We establish upper bounds for the number of smooth values of the Euler function. In particular, although the Euler function has a certain “smoothing” effect on its integer arguments, our results show ... More
Reviewed: Reviewed
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