EXPOSITIO

A home for expository scholarship

Expositio is a repository for expository papers in a wide range of academic disciplines, supporting preprints, revisions, optional peer review, saved papers, and overlay journals.

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What is Expositio?

A public repository for expository academic papers, with an integrated scholarly record.

Expositio is a place to read and cite expository work. Papers are published as stable, citable records, while remaining connected to later versions, editorial decisions, and related context.

Some papers are early drafts; others have been peer reviewed or formally published. Each paper remains readable on its own, while preserving the history behind it.

The result is both a reading room and a record: a place to browse by field, read papers in stable form, and follow their development over time.

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Quadratic and bilinear Diophantine equations

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Mathematics Number theory Diophantine equations Quadratic and bilinear Diophantine equations
Domain: Mathematics × Branch: Number theory × Branch: Diophantine equations × Branch: Quadratic and bilinear Diophantine equations ×

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Preprint
v1

In this paper, we use multiple techniques to find the complete set of solutions to Pell and negative Pell equations. We prove the existence of a nontrivial solution to the former using Dirichlet's Approximation Theorem and then find all solutions from the minimal positive soluti…

Mathematics / Number theory
Mathematics > Number theory > Quadratic and bilinear Diophantine equations Primary