Construction Via Residue Classes
Dirichlet characters may be viewed in terms of the character group of the unit group of the ring Z/kZ, as extended residue class characters.
Read more about this topic: Dirichlet Character
Famous quotes containing the words construction, residue and/or classes:
“There’s no art
To find the mind’s construction in the face.”
—William Shakespeare (1564–1616)
“Every poem of value must have a residue [of language].... It cannot be exhausted because our lives are not long enough to do so. Indeed, in the greatest poetry, the residue may seem to increase as our experience increases—that is, as we become more sensitive to the particular ignitions in its language. We return to a poem not because of its symbolic [or sociological] value, but because of the waste, or subversion, or difficulty, or consolation of its provision.”
—William Logan, U.S. educator. “Condition of the Individual Talent,” The Sewanee Review, p. 93, Winter 1994.
“What’s the greatest enemy of Christianity to-day? Frozen meat. In the past only members of the upper classes were thoroughly sceptical, despairing, negative. Why? Among other reasons, because they were the only people who could afford to eat too much meat. Now there’s cheap Canterbury lamb and Argentine chilled beef. Even the poor can afford to poison themselves into complete scepticism and despair.”
—Aldous Huxley (1894–1963)