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 13 Solving recurrence relation in 2 variables 11 Prove that $\cot^2{(\pi/7)} + \cot^2{(2\pi/7)} + \cot^2{(3\pi/7)} = 5$ 10 Compute $\lim_{n\to\infty} \left(\int_0^{\pi} \frac{\sin^2 n x}{\sin x} \ dx-\sum_{k=1}^n \frac{1}{k}\right)$ 9 simplify summation of factorial (random walk) 8 Is $x^4+4$ an irreducible polynomial?

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 +5 Properties of Algebraic Groups +10 Compute $\lim_{n\to\infty} \left(\int_0^{\pi} \frac{\sin^2 n x}{\sin x} \ dx-\sum_{k=1}^n \frac{1}{k}\right)$ +5 A Combinatorial Proof of Dixon's Identity +10 Solving recurrence relation in 2 variables

Questions (55)

 23 A Combinatorial Proof of Dixon's Identity 17 Quadratic Recurrence Relation 17 Combinatorial interpretation of Binomial Inversion 12 Related Forms for the Riemann Hypothesis over Finite Fields 11 Special Cases of Quadratic Reciprocity and Counting Fixed Points

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 22 calculus × 7 15 combinatorics × 13 20 binomial-coefficients × 14 14 number-theory × 10 18 sequences-and-series × 9 14 inequality × 6 18 proof-writing × 4 13 recurrence-relations 16 real-analysis × 9 12 elementary-number-theory × 10

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