pritam
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 38 Proof: If n is a perfect square, $\,n+2\,$ is NOT a perfect square 20 How to evaluate the series $1+\frac34+\frac{3\cdot5}{4\cdot8}+\frac{3\cdot5\cdot7}{4\cdot8\cdot12}+\cdots$ 16 Evaluate $\sum_{k=1}^nk\cdot k!$ 16 Prove $\cos 3x =4\cos^3x-3\cos x$ 14 Prove $a+b+c+d$ is composite

Reputation (7,430)

 +10 every ideal of $F[x]$ is prime ideal but not maximal +10 Prove that if the sum of each row of $A$ equals $s$, then $s$ is an eigenvalue of $A$. +5 Proof of Stickelberger’s Theorem +10 Using modular congruence to solve equation

Questions (60)

 12 Countable set having uncountably many infinite subsets 10 Is the number of irreducibles in any number field infinite? 9 Fibonacci numbers divisible by $9$ 9 Showing that a real number is an algebraic integer 8 Proof of Stickelberger’s Theorem

Tags (133)

 52 discrete-mathematics × 8 41 calculus × 18 50 sequences-and-series × 14 33 linear-algebra × 22 45 abstract-algebra × 27 28 integration × 8 45 elementary-number-theory × 18 28 trigonometry × 6 43 ring-theory × 10 25 algebra-precalculus × 12

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 Mathematics 7,430 rep 1034 MathOverflow 393 rep 213 Computer Science 141 rep 2 Physics 134 rep 2 Theoretical Computer Science 116 rep 2