Analytic arithmetic in algebraic number fields

DOI10.1007/BFb0076403zbMath0595.12005OpenAlexW4210862157MaRDI QIDQ1077458

B. Z. Moroz

Publication date: 1986

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0076403

zbMATH Keywords

representationsmeromorphic continuationvarietiesalgebraic number fieldFrobenius classnorm form equationsideals with equal normsvirtual charactersL- functionsabsolute Weil groupequidistribution of prime idealsformal Euler productGrößencharakterenHecke zeta-functionintegral points on norm formnon-abelian L-functionsscalar product of

Mathematics Subject Classification ID

Rational points (14G05) Zeta functions and (L)-functions of number fields (11R42) Density theorems (11R45) Langlands-Weil conjectures, nonabelian class field theory (11R39) Multiplicative and norm form equations (11D57) Research exposition (monographs, survey articles) pertaining to field theory (12-02)

Related Items (8)

Weil groups and the distribution of prime ideals ⋮ Estimates for character sums in number fields ⋮ An Omega Theorem for a Class of Arithmetic Functions ⋮ On the least primitive root in number fields ⋮ On ideal-function-like functions. ⋮ MINOR ARC MOMENTS OF WEYL SUMS ⋮ On certain cubic forms in seven variables ⋮ Scalar product of Dirichlet series and the distribution of integer points on toric varieties

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