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:
He was a gentleman on whom I built
An absolute trust.”
—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.
“My plan of instruction is extremely simple and limited. They learn, on week-days, such coarse works as may fit them for servants. I allow of no writing for the poor. My object is not to make fanatics, but to train up the lower classes in habits of industry and piety.”
—Hannah More (1745–1833)