Perfect powers that are sums of consecutive like powers

Vandita Patel

Perfect powers that are sums of consecutive like powers

Vandita Patel

Pure Mathematics

Research output: Thesis › Doctoral Thesis

Abstract

This thesis is concerned with finding integer solutions to certain Diophantine equations. In doing so, we will use a variety of techniques. Unfortunately, we are not able to mention all of them - there are many techniques in solving Diophantine equations! Combining analytic methods with classic and modern algebraic approaches proves fruitful in a number of cases.

Original language	English
Qualification	Doctor of Philosophy
Awarding Institution	The University of Warwick
Supervisors/Advisors	Siksek, Samir, Supervisor, External person
Award date	1 Jun 2017
Publication status	Published - 2017

Cite this

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title = "Perfect powers that are sums of consecutive like powers",

abstract = "This thesis is concerned with finding integer solutions to certain Diophantine equations. In doing so, we will use a variety of techniques. Unfortunately, we are not able to mention all of them - there are many techniques in solving Diophantine equations! Combining analytic methods with classic and modern algebraic approaches proves fruitful in a number of cases.",

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AB - This thesis is concerned with finding integer solutions to certain Diophantine equations. In doing so, we will use a variety of techniques. Unfortunately, we are not able to mention all of them - there are many techniques in solving Diophantine equations! Combining analytic methods with classic and modern algebraic approaches proves fruitful in a number of cases.

M3 - Doctoral Thesis

ER -

Perfect powers that are sums of consecutive like powers

Abstract

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Cite this