Noam D. Elkies

Harvard University, Cambridge, MA 02138

http://math.harvard.edu/~elkies

[Not sure yet what to use this space for...]

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Source and context of $\frac{22}{7} - \pi = \int_0^1 (x-x^2)^4 dx/(1+x^2)$?

ca.analysis-and-odes ho.history-overview integration diophantine-approximation asked Jun 9, 2011 at 21:43

mathoverflow.net

79 votes

Does Zhang's theorem generalize to $3$ or more primes in an interval of fixed length?

nt.number-theory prime-numbers analytic-number-theory asked Jun 4, 2013 at 14:05

mathoverflow.net

39 votes

$x^4+y^4$ powerful for relatively prime $x,y$

nt.number-theory elliptic-curves diophantine-equations powerful-numbers asked Jan 1, 2015 at 5:03

mathoverflow.net

39 votes

Diophantine equation for 2016: triangular $|{\rm GL}_2({\bf F}_q)|$

nt.number-theory elliptic-curves diophantine-equations diophantine-approximation diophantine-geometry asked Dec 30, 2016 at 18:33

mathoverflow.net

36 votes

The coupon collector's earworm

reference-request co.combinatorics asymptotics asked Aug 26, 2015 at 3:48

mathoverflow.net

32 votes

$\int_0^\infty x \, [J_0(x)]^5 \, dx$: source and context, if any?

reference-request k3-surfaces bessel-functions periods asked May 12, 2015 at 5:17

mathoverflow.net

Top Answers

247

Should the formula for the inverse of a 2x2 matrix be obvious?

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103

Tweetable Mathematics

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Inverting lower triangular matrix in time $n^2$

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Tweetable Mathematics

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Prove that if V is finite dimensional then V is even dimensional?

math.stackexchange.com

Does $\sum _{n=1}^{\infty } \frac{\sin(\text{ln}(n))}{n}$ converge?

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How good is Kamenetsky's formula for the number of digits in n-factorial?

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Absolute value inequality for complex numbers

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There's something strange about $\sqrt{\big(j(\tau)-1728\big)d}$

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Prominent non-mathematical work of mathematicians

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Parity of $\lfloor 1/(x y) \rfloor$ not equally distributed

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cube + cube + cube = cube

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A conjectural closed form for $\sum\limits_{n=0}^\infty\frac{n!\,(2n)!}{(3n+2)!}$

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$\mathbf{P} = \mathbf{NP}$, what's the problem?

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On an example of an eventually oscillating function

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Is there a "classical" proof of this $j$-value congruence?

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Proofs where higher dimension or cardinality actually enabled much simpler proof?

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Calculation of a series

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Are there infinitely many integer-valued polynomials dominated by $1.9^n$ on all of $\mathbb{N}$?

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the following inequality is true，but I can't prove it

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Alternating sum of square roots of binomial coefficients

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Heuristically false conjectures

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Checkmate in $\omega$ moves?

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Is there anything special about the Riemann surface $y^2 = x(x^{10}+11x^5-1)$?

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Can any group be embedded in a simple group?

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How to decide this function takes integer values?

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A question on maps from $\mathbb{Z}/p\mathbb{Z}$ to itself

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Which high-degree derivatives play an essential role?

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Collecting alternative proofs for the oddity of Catalan

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What is the name of the 65537-gon?

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