Dirichlet Character - Construction Via Residue Classes

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.

    “Solidity, caution, integrity, efficiency. Lack of imagination, hypocrisy. These qualities characterize the middle classes in every country, but in England they are national characteristics.”
    —E.M. (Edward Morgan)