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Recognizing the beauty in mathematics and puzzles.

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How Sine Reveals the Basel Problem’s Sum

The hidden relationship between polynomial roots and infinite sums.

8 min read4 days ago

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Welcome to my Number Theory Series!

Join me as we explore the captivating world of numbers, from primes and divisibility to hidden patterns, elegant proofs, thought-provoking questions, and unsolved conjectures. Together, we’ll uncover the beauty of mathematics, one number at a time.

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Add the reciprocals of the positive integers squared :

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At first, this looks like an ordinary arithmetic problem. We are adding fractions built from whole numbers, and nothing in the expression seems to involve circles, angles, or trigonometry. Yet…

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Thanushan Sivapatham
Thanushan Sivapatham

Written by Thanushan Sivapatham

𝐍𝐮𝐦𝐛𝐞𝐫 𝐄𝐧𝐭𝐡𝐮𝐬𝐢𝐚𝐬𝐭 🤓 || Tips : https://ko-fi.com/thanushan23

ThinkArt
ThinkArt

Published in ThinkArt

Recognizing the beauty in mathematics and puzzles.