Macquarie University, Sydney Macquarie University ResearchOnline

Showing items 1 - 10 of 10.

Add to Quick Collection   All 10 Results

  • First
  • Previous
  • 1
  • Next
  • Last
Sort:
 Add All Items to Quick Collection
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1195678
Description: In this paper, we give a general explicit form of Cassels’ p-adic embedding theorem for number fields. We also give its reûned form in the case of cyclotomic fields. As a byproduct, given an irreducib ... More
Reviewed: Reviewed
Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/332383
Description: We give an upper bound for the number of elliptic Carmichael numbers η ≤ χ that were recently introduced by J. H. Silverman in the case of an elliptic curve without complex multiplication (non CM). We ... More
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/276005
Description: We obtain an asymptotic formula for the number of square-free integers in N consecutive values of polynomials on average over integral polynomials of degree at most k and of height at most H, where H ... More
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/203147
Description: We obtain nontrivial estimates of quadratic character sums of division polynomials Ψn(P), n = 1, 2, . . . , evaluated at a given point P on an elliptic curve over a finite field of q elements. Our bou ... More
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/159886
Description: 9 page(s)
Reviewed: Reviewed
Date: 2007
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/118763
Description: We show that, for most of the elliptic curves E over a prime finite field Fp of p elements, the discriminant D(E) of the quadratic number field containing the endomorphism ring of E over F p is suffic ... More
Reviewed: Reviewed
Date: 2005
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/79480
Description: 13 page(s)
Reviewed: Reviewed
Date: 2005
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1096149
Description: 22 page(s)
Reviewed: Reviewed
Date: 2003
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/78682
Description: We extend to the setting of polynomials over a finite field certain estimates for short Kloosterman sums originally due to Karatsuba. Our estimates are then used to establish some uniformity of distri ... More
Reviewed: Reviewed
Date: 2001
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/118609
Description: 6 page(s)
Reviewed: Reviewed
  • First
  • Previous
  • 1
  • Next
  • Last