• 149 Citations
  • 7 h-Index
1989 …2019
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Research Output 1989 2019

  • 149 Citations
  • 7 h-Index
  • 25 Article
  • 1 Conference contribution
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Article
2019

Computing septic number fields

Driver, E. D. & Jones, J., Jan 1 2019, In : Journal of Number Theory.

Research output: Contribution to journalArticle

Distributed Computation
Absolute value
Discriminant
Number field
Server
2018

Mixed degree number field computations

Jones, J. & Roberts, D. P., Jul 11 2018, (Accepted/In press) In : Ramanujan Journal. p. 1-20 20 p.

Research output: Contribution to journalArticle

Galois group
Number field
Discriminant
Computing
2017
1 Citation (Scopus)

Artin L-functions of small conductor

Jones, J. & Roberts, D. P., Dec 1 2017, In : Research in Number Theory. 3, 1, 16.

Research output: Contribution to journalArticle

Galois
L-function
Conductor
Number field
Tables
2014
22 Citations (Scopus)

A database of number fields

Jones, J. & Roberts, D. P., 2014, In : LMS Journal of Computation and Mathematics. 17, 1, p. 595-618 24 p.

Research output: Contribution to journalArticle

Number field
Tables
Invariant
3 Citations (Scopus)

The tame-wild principle for discriminant relations for number fields

Jones, J. & Roberts, D. P., 2014, In : Algebra and Number Theory. 8, 3, p. 609-645 37 p.

Research output: Contribution to journalArticle

Divisibility
Ramification
Resolvent
Discriminant
Number field
2013
2 Citations (Scopus)

Minimal solvable nonic fields

Jones, J., Jun 2013, In : LMS Journal of Computation and Mathematics. 16, p. 130-138 9 p.

Research output: Contribution to journalArticle

Solvable Group
Galois group
Discriminant
Signature
Polynomials
2011
5 Citations (Scopus)

Number fields with solvable galois groups and small galois root discriminants

Jones, J. & Wallington, R., 2011, In : Mathematics of Computation. 81, 277, p. 555-567 13 p.

Research output: Contribution to journalArticle

Class Field Theory
Dihedral group
Solvable Group
Galois group
Galois
2 Citations (Scopus)

Wild ramification bounds and simple group galois extensions ramified only at 2

Jones, J., Mar 2011, In : Proceedings of the American Mathematical Society. 139, 3, p. 807-821 15 p.

Research output: Contribution to journalArticle

Group Extension
Galois Extension
Finite Simple Group
Ramification
Galois group
2010

Inertia subgroups for octic 2-adic fields

Jones, J., 2010, In : International Journal of Pure and Applied Mathematics. 61, 3, p. 301-313 13 p.

Research output: Contribution to journalArticle

Inertia
Subgroup
Number field
Closure
Computing
2 Citations (Scopus)

Minimum discriminants of imprimitive decic fields

Driver, E. D. & Jones, J., 2010, In : Experimental Mathematics. 19, 4, p. 475-479 5 p.

Research output: Contribution to journalArticle

Subfield
Discriminant
Class Field Theory
Quintic
Galois group
4 Citations (Scopus)

Number fields unramified away from 2

Jones, J., Jun 2010, In : Journal of Number Theory. 130, 6, p. 1282-1291 10 p.

Research output: Contribution to journalArticle

Alternating group
Galois group
Simple group
Number field
2009
3 Citations (Scopus)

A targeted martinet search

Driver, E. D. & Jones, J., 2009, In : Mathematics of Computation. 78, 266, p. 1109-1117 9 p.

Research output: Contribution to journalArticle

Number theory
Number field
Computational number Theory
Ramification
Tables
2008
13 Citations (Scopus)

Octic 2-adic fields

Jones, J. & Roberts, D. P., Jun 2008, In : Journal of Number Theory. 128, 6, p. 1410-1429 20 p.

Research output: Contribution to journalArticle

Slope field
Ramification
Galois group
Local Field
Tables
4 Citations (Scopus)

Z-cyclic whist tournaments for q2 players

Jones, J. & Leonard, P. A., Aug 2008, In : Journal of Combinatorial Mathematics and Combinatorial Computing. 66, p. 215-223 9 p.

Research output: Contribution to journalArticle

Whist Tournaments
2007
11 Citations (Scopus)

Galois number fields with small root discriminant

Jones, J. & Roberts, D. P., Feb 2007, In : Journal of Number Theory. 122, 2, p. 379-407 29 p.

Research output: Contribution to journalArticle

Galois group
Discriminant
Number field
Galois field
Roots
2006
36 Citations (Scopus)

A database of local fields

Jones, J. & Roberts, D. P., Jan 2006, In : Journal of Symbolic Computation. 41, 1, p. 80-97 18 p.

Research output: Contribution to journalArticle

Local Field
Number field
2004
12 Citations (Scopus)
Ramification
Galois group
Number field
Tables
Isomorphism
2003
9 Citations (Scopus)

Septic fields with discriminant ±2a3b

Jones, J. & Roberts, D. P., Oct 2003, In : Mathematics of Computation. 72, 244, p. 1975-1985 11 p.

Research output: Contribution to journalArticle

Discriminant
Galois group
Number field
Genus
Classify
1995
2 Citations (Scopus)

Iwasawa L-Functions of Elliptic Curves with Additive Reduction

Jones, J., Mar 1995, In : Journal of Number Theory. 51, 1, p. 103-117 15 p.

Research output: Contribution to journalArticle

L-function
Elliptic Curves
Multiplicative
Analogue
3 Citations (Scopus)

On the Equation x4 + mx2y2 + y4 = z2

Bremner, A. & Jones, J., Feb 1995, In : Journal of Number Theory. 50, 2, p. 268-298 31 p.

Research output: Contribution to journalArticle

Assertion
Elliptic Curves
Solvability
Euler
Table

Zero-flee regions for a rational function with applications

Jones, J. & Welfert, B., 1995, In : Advances in Computational Mathematics. 3, 1, p. 265-289 25 p.

Research output: Contribution to journalArticle

Rational functions
Linear Control
Control theory
Control Theory
Rational function
1 Citation (Scopus)

Zero-flee regions for a rational function with applications

Jones, J. & Welfert, B., Apr 1995, In : Advances in Computational Mathematics. 3, 3, p. 265-289 25 p.

Research output: Contribution to journalArticle

Rational functions
Linear Control
Control theory
Control Theory
Rational function
1991
1 Citation (Scopus)

On the local norm map for abelian varieties with good ordinary reduction

Jones, J., Apr 15 1991, In : Journal of Algebra. 138, 2, p. 420-423 4 p.

Research output: Contribution to journalArticle

Abelian Variety
Norm
1990

A comparison of selmer groups

Jones, J., Dec 1990, In : Manuscripta Mathematica. 68, 1, p. 391-398 8 p.

Research output: Contribution to journalArticle

Selmer Group
Analogue
Classical Groups
Isomorphic
1989
8 Citations (Scopus)

Iwasawa L-functions for multiplicative abelian varieties

Jones, J., 1989, In : Duke Mathematical Journal. 59, 2, p. 399-420 22 p.

Research output: Contribution to journalArticle

Abelian Variety
L-function
Multiplicative