Research Output per year

## Personal profile

### Education/Academic qualification

PHD, University of Cambridge

… → 1978

MA, University of Oxford

… → 1977

BA, University of Oxford

… → 1972

## Fingerprint Fingerprint is based on mining the text of the experts' scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Rational Points
Mathematics

Quartic
Mathematics

Diophantine equation
Mathematics

Integer
Mathematics

Curve
Mathematics

Elliptic Curves
Mathematics

Genus
Mathematics

Square number
Mathematics

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Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 1975 2019

## On a problem of Erdös related to common factor differences

Bremner, A., Jan 1 2019, (Accepted/In press) In : International Journal of Number Theory.Research output: Contribution to journal › Article

Common factor

Integer

Difference Set

Erdös

Number theory

## An interesting quartic surface, everywhere locally solvable, with cubic point but no global point

Bremner, A. & Xuan, T. N., Jan 1 2018, In : Publicationes Mathematicae. 93, 1-2, p. 253-260 8 p.Research output: Contribution to journal › Article

Quartic

Number field

Odd

Field extension

Rational Points

## Corrigendum to: Some Quartic Curves with no Points in any Cubic Field (Proceedings of the London Mathematical Society, (1986), s3-52, 2, (193-214), 10.1112/plms/s3-52.2.193)

Bremner, A., Apr 1 2018, In : Proceedings of the London Mathematical Society. 116, 4, 1 p.Research output: Contribution to journal › Comment/debate

Cubic Fields

Quartic

Number field

Curve

P-adic Fields

## The equation (w + x + y + z)(1/w + 1/x + 1/y + 1/z) = n

Bremner, A. & Xuan, T. N., Jan 25 2018, (Accepted/In press) In : International Journal of Number Theory. p. 1-18 18 p.Research output: Contribution to journal › Article

Integer

Infinitely Many Solutions

Elliptic Curves

Positive Solution

Existence of Solutions

## ON PERFECT K-RATIONAL CUBOIDS

Bremner, A., Oct 4 2017, (Accepted/In press) In : Bulletin of the Australian Mathematical Society. p. 1-7 7 p.Research output: Contribution to journal › Article

Cuboid

Algebraic number Field

Cubic Fields