Noam D. Elkies

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Name	Noam D. Elkies
Member for	2 years
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Website	math.harvard.edu/~elkies
Location	Harvard University, Cambridge, MA 02138
Age	46

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

calculus diophantine-approximation ho.history-overview

jan 24 12 at 22:23 Wadim Zudilin 8,674●1●24●59

131

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

Checkmate in $\omega$ moves? (3)

Contest problems with connections to deeper mathematics. (4)

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

Alternating sum of square roots of binomial coefficients

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

Irreversible chess (3)

Does $(x^2 - 1)(y^2 - 1) = c z^4$ have a rational point, with z non-zero, for any given rational c?

How to decide this function takes integer values?

Is there any sequence $a_n$ of nonnegative numbers for which $\sum_{n \geq 1}a_n^2 <\infty$ and $\sum_{n \geq 1}\left(\sum_{k \geq 1}\frac{a_{kn}}{k}\right)^2=\infty$?

cube + cube + cube = cube

A 14th and 26th-power Dedekind eta function identity?

Matrix inequality $(A-B)^2 \leq c (A+B)^2$ ?

Heuristically false conjectures

Jumping in the integers

Which Diophantine equations can be solved using continued fractions?

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

Sum of squares modulo a prime

Are nontrivial integer solutions known for $x^3+y^3+z^3=3$?

Truncated Exponential Series Modulo $p$: Deeper meaning for a Putnam Question. (2)

The divisor bound in number fields

Negative values of Riemann zeta function on the critical line.

Sum of trigonometric functions (2)

Three consecutive quadratic residues problem

A quadratic form represents all primes except for the primes 2 and 11.

The function $\sum_{0}^{\infty} x^n/n^n$

Combinatorial interpretation of ${i\choose n}$, where $i^2=-1$

Exponential sums over finite fields with even characteristic

Number fields with same discriminant and regulator?

2-norm of the upper triangular “all-ones” matrix

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