77 A matrix and its transpose have the same set of eigenvalues 21 What do ideles and adeles look like? 17 Show that the roots of the polynomial $x^4 - px^3 + qx^2 - pqx + 1 = 0$ satisfy a certain relationship 17 Elementary results from Algebraic Number Theory 13 Number of integer solutions of $\frac{1}{x} + \frac{1}{y} = \frac{1}{1000}$

### Reputation (8,778)

 +10 Examples of infinite groups such that all their respective elements are of finite order. +10 A matrix and its transpose have the same set of eigenvalues +5 What is the easiest way to describe the Leech lattice explicitly? +10 Orthonormal basis

### Questions (26)

 15 Group cohomology intuition 12 Coefficients in expansion of $(\sqrt{2} - 1)^m$ 11 Generalizing the 290 theorem. 9 Weyl character formula for locally compact Lie groups. 7 Exact rank of Elkies curve

### Tags (144)

 136 linear-algebra × 31 48 algebraic-number-theory × 16 97 matrices × 10 42 algebra-precalculus × 8 86 number-theory × 49 29 field-theory × 12 79 elementary-number-theory × 41 27 prime-numbers × 13 68 abstract-algebra × 35 26 combinatorics × 8