Character sums in algebraic number fields
Copyright policy )Character sums in algebraic number fields
AbstractThe Pólya-Vinogradov inequality is generalized to arbitrary algebraic number fields K of finite degree over the rationals. The proof makes use of Siegel's summation formula and requires results about Hecke's zeta-functions with Grössencharacters. One application is to the problem of estimating a least totally positive primitive root modulo a prime ideal of K, least in the sense that its norm is minimal.
- Philipps-University of Marburg Germany
Siegel's summation formula, application Ito least totally positive primitive root, Algebra and Number Theory, algebraic number fields of finite degree, Distribution of integers in special residue classes, character sums, Polya-Vinogradov inequality, Estimates on character sums, Algebraic numbers; rings of algebraic integers
Siegel's summation formula, application Ito least totally positive primitive root, Algebra and Number Theory, algebraic number fields of finite degree, Distribution of integers in special residue classes, character sums, Polya-Vinogradov inequality, Estimates on character sums, Algebraic numbers; rings of algebraic integers
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