Eric

Canada

sites.google.com/site/naslunderic/home

I an interested in Number Theory, Analysis and Additive Combinatorics. My papers can be found here, or you can visit my website for more information.

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The Mathematics of Tetris

recreational-mathematics problem-solving packing-problem parity invariance asked Nov 8 '11 at 16:51

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29 votes

Very Aggressive Openings

opening big-list kings-gambit aggressive-play asked May 2 '12 at 10:24

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28 votes

Explicitly reconstructing a function from its moments

complex-analysis fourier-analysis asked Apr 13 '11 at 3:59

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25 votes

Fermat's Last Theorem and Kummer's Objection

number-theory ring-theory algebraic-number-theory field-theory factoring asked Nov 25 '11 at 13:47

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22 votes

Limits: How to evaluate $\lim\limits_{x\rightarrow \infty}\sqrt[n]{x^{n}+a_{n-1}x^{n-1}+\cdots+a_{0}}-x$

calculus limit faq asked Mar 31 '11 at 1:34

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22 votes

Drunkard's walk on the $n^{th}$ roots of unity.

probability stochastic-processes markov-chains roots-of-unity asked Jan 15 '12 at 21:41

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16 votes

A series problem by Knuth

sequences-and-series approximation gamma-function factorial asked Aug 29 '11 at 15:24

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16 votes

A sum of fractional parts.

combinatorics number-theory problem-solving fractional-part asked May 3 '12 at 17:59

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16 votes

Irreducibility of $x^{n}+x+1$

polynomials field-theory galois-theory factoring asked Dec 25 '12 at 6:43

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15 votes

Not lifting your pen on the $n\times n$ grid

combinatorics graph-theory asked Feb 22 '11 at 5:34

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Top Answers

Direct Proof that $1 + 3 + 5 + \cdots+ (2n - 1) = n\cdot n$

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$\int_{-\infty}^{+\infty} e^{-x^2} dx$ with complex analysis

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100 Soldiers riddle

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What is special about the numbers 9801, 998001, 99980001 ..?

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Proof of 1=0 by mathematical induction?

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Prove $2^{1/3}$ is irrational.

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Show that $A_n=\sum\limits_{k=1}^n \sin k $ is bounded?

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Prove every odd integer is the difference of two squares

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What is so interesting about the zeroes of the $\zeta$ function

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When log is written without a base, is the equation normally referring to log base 10 or natural log?

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How to effectively and efficiently learn mathematics

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How to show $\lim_{n \to \infty} a_n = \frac{ [x] + [2x] + [3x] + \dotsb + [nx] }{n^2} = x/2$?

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If G is not commutative, then is there always a subgroup that is not a normal subgroup?

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Importance of rigor

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Is it possible $n(n+1)(n+2)…(n+k)$ is a square?

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A pencil approach to find $\sum \limits_{i=1}^{69} \sqrt{\left( 1+\frac{1}{i^2}+\frac{1}{(i+1)^2}\right)}$

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if $m^2 = a^3 - b^3$, then $m$ is the sum of two squares.

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Prove that for any nonnegative integer n the number $5^{5^{n+1}} + 5^{5 ^n} + 1$ is not prime

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How can I evaluate $\sum_{n=0}^\infty (n+1)x^n$

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Primes of the form $n^2+1$ - hard?

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How to sum this series for $\pi/2$ directly?

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Using congruences, show $\frac{1}{5}n^5 + \frac{1}{3}n^3 + \frac{7}{15}n$ is integer for every $n$

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Please show $\int_0^\infty x^{2n} e^{-x^2}\mathrm dx=\frac{(2n)!}{2^{2n}n!}\frac{\sqrt{\pi}}{2}$ without gamma function?

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How does $ \sum_{p<x} p^{-s} $ grow asymptotically for $ \text{Re}(s) < 1 $?

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What is $\int\frac{dx}{\sin x}$?

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Evaluate $\sum\limits_{n=0}^\infty \frac{1}{4n^2+1}$ by using complex contour integration

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Computing the product of p/(p - 2) over the odd primes

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How to prove that $\sum\limits_{n=1}^\infty\frac{(n-1)!}{n\prod\limits_{i=1}^n(a+i)}=\sum\limits_{k=1}^\infty \frac{1}{(a+k)^2}$ for $a>-1$?

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Why is this series of square root of twos equal $\pi$?

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Solve the integral $S_k = (-1)^k \int_0^1 (\log(\sin \pi x))^k dx$

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