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Aritro Pathak

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Top Questions

Proving that $~\sum\limits_{k=2}^{\infty}\frac{(-1)^k}{k^2}~H_k~H_{k-1}=\frac{3}{16}~\zeta(4)$

calculus sequences-and-series definite-integrals contest-math harmonic-numbers asked Jul 28, 2017 at 18:42

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For what $n$ can $\{1, 2,\ldots, n\}$ be partitioned into equal-sized sets $A$, $B$ such that $\sum_{k\in A}k^p=\sum_{k\in B}k^p$ for $p=1, 2, 3$?

combinatorics elementary-number-theory integer-partitions asked Jun 4, 2019 at 22:02

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Recent Question in American Math Monthly, proposed by Donald Knuth

combinatorics inequality summation binomial-coefficients asked Nov 12, 2017 at 4:45

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Explaining why $\mathrm{ d/d}x$ is not Hermitian, but $\mathrm{i~ d/d}x$ is Hermitian

quantum-mechanics operators hilbert-space asked Nov 13, 2016 at 3:51

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Generalization of the Friendship Theorem in graphs?

combinatorics discrete-mathematics graph-theory asked Mar 29, 2018 at 4:33

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Top Answers

Magnetic field outside a solenoid

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Taylor expansion of potential energy

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Why doesn't the "zig-zag" comb deformation retract onto a point, even though it's contractible?

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Solving differential equation $y''-\frac{y'^2}{y}+ \frac{\epsilon y}{x^2}=0$

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Convergence of $n \sqrt{n^2+1}-n^2$

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