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Copyright 2012, All Rights Reserved

No part of this document may be reproduced in any form, by any means

(electronic, photocopying, recording, or otherwise). The author retains

the exclusive right of all the discoveries and theorems proposed in the

book. No liability is assumed with the use of the information contained

within. Although every precaution has been taken, the author assumes

no liability for errors or omissions.

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Discovery of a new mathematical relation in the

series formed by powers of consecutive terms in

arithmetic progression

By

Dhanesh Kumar M

Introduction

So, this is how the story unveils. To put it simple, I have discovered some

theorems in the field of mathematics. And when I explored further I was

astonished to find out that these theorems have a lot of practical applications

and resolve many ancient mysteries. I, then compiled all these into a book. So,

before making this book public, I would like to share the main discoveries to

everyone as anyone with the knowledge of high school level mathematics can

comprehend these theorems.

The main goal of this paper is to elucidate some new theorems in number

theory. In a nutshell, the theorems relate to the series formed by powers of

arithmetic progression. These innocent looking mathematical relations not

only contribute to this area of mathematics but also have wider practical

applications. This document explains the main theorem, while the book,

which is about to be completed explains many subsequent theorems and

applications .