John R Ramsden

Member for 14 years, 1 month
Last seen more than 2 years ago

highranges.com

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nt.number-theory

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30

Not especially famous, long-open problems which anyone can understand

Jun 23, 2012

9

Examples of common false beliefs in mathematics

Dec 18, 2010

5

Does $(x^2 - 1)(y^2 - 1) = c z^4$ have a rational point, with z non-zero, for any given rational c?

May 19, 2012

5

Diophantine Equation with Polynomial Coefficients

Sep 23, 2012

4

Analysis of a quadratic diophantine equation

Oct 30, 2010

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33

What is the defining property of reductive groups and why are they important?

Jan 17, 2019

20

Does $(x^2 - 1)(y^2 - 1) = c z^4$ have a rational point, with z non-zero, for any given rational c?

May 19, 2012

9

Rational solutions of $x^2 + y^2 = z (z^2 - 1)$

Jul 31, 2013

5

Is there an algorithm to decide whether or not two algebraic surfaces are birationally equivalent?

Jun 3, 2014

5

Rank of $x (x^2 - 1) = c (c^2 - 1) y^2 $ over $\mathbb{Q}$ for given rational values of $c$

Jun 17, 2012

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nt.number-theory

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diophantine-equations

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ag.algebraic-geometry

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reference-request

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curves-and-surfaces

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What is the defining property of reductive groups and why are they important?

+10

Does the Diophantine equation $(x^2+ay^2)(u^2+bv^2) = p^2+cq^2$ admit a complete solution?

+10

Rational solutions of $x^2 + y^2 = z (z^2 - 1)$

-2

What is the oldest open problem in mathematics?

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