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Sayan Dutta

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  • Member since June 22 2021
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  • Last seen Jul 15 '25 at 03:41

I am a PhD in Mathematics at the Université de Montréal.

Some of my favourites among the answers I gave on MSE-

  1. Number of integer solutions of $a^2+b^2=10c^2$

  2. Sumsets are minimized by Arithmetic Progressions

  3. An alternative solution for $\int_0^{\frac \pi 2}\sin(2nx)\cot x \text{ d}x$

  4. Prove that $n^n<(n!)^2$ for $n>2$

  5. Find the smallest natural number $n$ such that every $n$-element subset of $S = \{ 1,2,\dots ,280\}$ contains $5$ pairwise relatively prime numbers

Some of my answers that (I believe) didn't get enough attention simply because they were too late to the party-

  1. A simple way to obtain $\prod_{p\in\mathbb{P}}\frac{1}{1-p^{-s}}=\sum_{n=1}^{\infty}\frac{1}{n^s}$

  2. Intuition for Prime Number Theorem

  3. Why is Euler's Totient function always even?

  4. Ring of quaternions over $\mathbb Z_3$

  5. Gauss's Lemma Proof

Some of my questions that got some brilliant answers-

  1. Intuition behind Newton's Interpolation methods

  2. Symmetries of Persian tiles

  3. Proof of Stewart's Theorem using elementary geometry