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Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/278997
Description: We obtain analogues of several recent bounds on the number of solutions of polynomial congruences modulo a prime with variables in short intervals in the case of polynomial equations in high degree ex ... More
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/200223
Description: Using a recent result on the sum-product problem, we estimate the number of elements γ in a prime finite field such that both γ and γ+γ⁻¹ are of small order. Correction to this article published in Bu ... More
Full Text: Full Text
Reviewed: Reviewed
Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/119092
Description: Let E be an ordinary elliptic curve over a finite field Fq of q elements. We improve a bound on bilinear additive character sums over points on E, and obtain its analogue for bilinear multiplicative c ... More
Full Text: Full Text
Reviewed: Reviewed
Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/129331
Description: We obtain a lower bound on the multiplicative order of Gauss periods which generate normal bases over finite fields. This bound improves the previous bound of von zur Gathen and Shparlinski.
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/320300
Description: 10 page(s)
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/320415
Description: 7 page(s)
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/319777
Description: 9 page(s)
Reviewed: Reviewed
Date: 2007
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/25102
Description: 7 page(s)
Reviewed: Reviewed
Date: 2006
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1149501
Description: We use exponential sums to obtain new lower bounds on the number of distinct distances defined by all pairs of points (a, b) ∈ A x B for two given sets A, B ⊆ Fn q where Fq is a finite field of q elem ... More
Reviewed: Reviewed
Date: 2004
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1149994
Description: 6 page(s)
Reviewed: Reviewed
Date: 2003
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1147866
Description: 25 page(s)
Reviewed: Reviewed
Date: 2003
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1139637
Description: We derive a lower bound for the arithmetic function M(n) = max {|a - b| : a, b ? ? n and ab ? 1 (mod n)} which then gives the asymptotic n - M(n) = o (n .75+?) for any ? > 0.
Reviewed: Reviewed
Date: 2003
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1099104
Description: 8 page(s)
Reviewed: Reviewed
Date: 2003
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1147908
Description: We obtain an asymptotic formula for the number of square-free values among p - 1, for primes p ≤ x, and we apply it to derive the following asymptotic formula for L(x), the number of square-free value ... More
Reviewed: Reviewed
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