Notes on a cubic diophantine equation

Ashvin Varada Rajan (Baltimore)

Thu Nov 12, 20:00-21:00 (5 days from now)

Abstract: We study the cubic Diophantine equation \[ H_k : Y^3 - Y = k(X^3 - X), \] where $k > 1$ is a fixed integer, describing some methods to explicitly find all integral solutions when $k$ is given, and establishing qualitative properties of the set of integral solutions for certain infinite sets $\{H_k\}$ of such equations.

commutative algebracombinatoricsnumber theory

Audience: researchers in the topic


New York Number Theory Seminar

Series comments: Meeting ID: 840 6618 4717 Passcode: 304403

Organizer: Melvyn Nathanson*
*contact for this listing

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