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 Dive into the research topics where Andrew Bremner is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Rational Points
Mathematics

Quartic
Mathematics

Diophantine equation
Mathematics

Curve
Mathematics

Integer
Mathematics

Elliptic Curves
Mathematics

Cubic Fields
Mathematics

Genus
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

## The Fermat cubic and quartic curves over cyclic fields

Bremner, A. & Choudhry, A., Jan 1 2019, (Accepted/In press) In : Periodica Mathematica Hungarica.Research output: Contribution to journal › Article

Fermat

Quartic

Number field

Cubic Fields

Curve

## 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