On the large sieve method in algebraic number fields

DOI10.1016/0022-314X(70)90052-1zbMath0198.07101MaRDI QIDQ2540305

Werner Schaal

Publication date: 1970

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Montgomery identitylarge sieve methodalgebraic number fields of finite degree over the rationalsBombieri-Davenport inequalitygeneralization of Brun-Titchmarsh theorem to number fieldsupper estimates for prime numbers in parallelepipeds

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Density theorems (11R45) Sieves (11N35)

Related Items (19)

On the large sieve inequality in an algebraic number field ⋮ On Siegel zeros of Hecke-Landau zeta-functions ⋮ Cyclicity of CM elliptic curves modulo 𝑝 ⋮ REDUCTION modp OF SUBGROUPS OF THE MORDELL–WEIL GROUP OF AN ELLIPTIC CURVE ⋮ Mass equidistribution of Hilbert modular eigenforms ⋮ On the theorem of Barban and Davenport-Halberstam in algebraic number fields ⋮ The Brun-Titchmarsh theorem in function fields ⋮ Primes, elliptic curves and cyclic groups ⋮ Large sieve with sparse sets of moduli for $\mathbb{Z}[i$] ⋮ Square-free orders for CM elliptic curves modulo \(p\) ⋮ A variant of the large sieve inequality with explicit constants ⋮ Fourier coefficients of forms of CM-type ⋮ Unnamed Item ⋮ Some applications of sieve methods in algebraic number fields ⋮ The analytic principle of the large sieve ⋮ Least quadratic non-residues in algebraic number fields ⋮ The average order of magnitude of least primitive roots in algebraic number fields ⋮ Sieve methods for polynomial rings over finite fields ⋮ A note on Artin's conjecture in algebraic number fields

Cites Work

• Über die Anzahl der Primzahlen eines reellquadratischen Zahlkörpers, deren Konjugierte unterhalb gegebener Grenzen liegen
• The large sieve inequality for algebraic number fields
• A Note on the Large Sieve
• Unnamed Item
• Unnamed Item

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