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A Gateway to Number Theory: Applying the Power of Algebraic Curves

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A Gateway to Number Theory: Applying the Power of Algebraic Curves - Kendig, Keith
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Challenge: Can you find all the integers $a$, $b$, $c$ satisfying $2a^{2} + 3b^{2} = 5c^{2}$? Looks simple, and there are in fact a number of easy solutions. But most of them turn out to be anything but obvious! There are infinitely many possibilities, and as any computer will tell you, each of $a$, $b$, $c$ will usually be large. So the challenge remains ... Find all integers$a$, $b$, $c$satisfying$2a^{2} + 3b^{2} = 5c^{2}$. A major advance in number theory means this book can give an easy answer to this and countless ...

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A Gateway to Number Theory: Applying the Power of Algebraic Curves 2021, American Mathematical Society, Providence

ISBN-13: 9781470456221

Paperback