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Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/181747
Description: 13 page(s)
Full Text: Full Text
Reviewed: Reviewed
Date: 2009
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/1228286
Description: 5 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: 2007
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/47007
Description: For a given residue class a ± od m with gcd(a, m) = 1, upper bounds are obtained on the smallest value of n with {varphi}(n) ≡ a ± od m. Here, as usual {varphi}(n) denotes the Euler function. These bo ... More
Reviewed: Reviewed
Date: 2005
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/78645
Description: A recent bound for exponential sums by Friedlander, Hansen and Shparlinski is extended to twisted exponential sums with general polynomial arguments. As a by-product a new result about perfect powers ... More
Reviewed: Reviewed
Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/332051
Description: Let Fq be a finite field of q elements. E. Howe has shown that there is a natural correspondence between the isogeny classes of two-dimensional ordinary abelian varieties over Fq which do not contain ... More
Reviewed: Reviewed
Date: 2009
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/132977
Description: We show, under the Generalized Riemann Hypothesis, that a certain set of primes which is of importance for the theory of pseudorandom sequences is of positive relative density. We also use an uncondit ... More
Full Text: Full Text
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/78530
Description: We consider a problem of P. Erdős, A. M. Odlyzko and A. Sárkőzy about the representation of residue classes modulo m by products of two not too large primes. While it seems that even the Extended Riem ... More
Reviewed: Reviewed
Date: 2006
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/20134
Description: We give nontrivial bounds in various ranges for exponential sums of the form [equation omitted for formatting reasons] and [equation omitted for formatting reasons] where m ≥ 2, ϑ is an element of ord ... More
Reviewed: Reviewed
Date: 2006
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/20158
Description: We estimate certain double character sums over points of an elliptic curve and in the multiplicative subgroup of a finite field. These bounds both improve and extend the scope of a series of previous ... More
Reviewed: Reviewed
Date: 2004
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/24183
Description: We give estimates for exponential sums of the form ∑n≤N Λ(n) exp (2πiagⁿ/m), where m is a positive integer, a and g are integers relatively prime to m, and Λ is the von Mangoldt function. In particula ... More
Reviewed: Reviewed
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
Date: 2004
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/120011
Description: We study the multidimensional distribution of the power generator of pseudorandom numbers modulo a high power of a fixed prime number. These results complement some recently obtained results about the ... More
Reviewed: Reviewed
Date: 2001
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/118588
Description: Let g be a primitive root modulo a (n+1)-bit prime p. In this paper we prove the uniformity of distribution of the Diffie--Hellman triples (gx, gy, gxy) as the exponents x and y run through the set of ... More
Full Text: Full Text
Reviewed: Reviewed