The Large Sieve Inequality for Algebraic Number Fields Iii. Zero-Density Results
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Publication:5614766
DOI10.1112/jlms/s2-3.2.233zbMath0213.07101OpenAlexW2089884858MaRDI QIDQ5614766
Publication date: 1971
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/jlms/s2-3.2.233
Applications of sieve methods (11N36) Zeta functions and (L)-functions of number fields (11R42) Other analytic theory (11R47)
Related Items (17)
On the large sieve inequality in an algebraic number field ⋮ A Bombieri-type theorem for convolution with application on number field ⋮ Bounded gaps between Gaussian primes ⋮ A BOMBIERI–VINOGRADOV THEOREM FOR NUMBER FIELDS ⋮ Bounded gaps between product of two primes in imaginary quadratic number fields ⋮ Average behaviors of invariant factors in Mordell-Weil groups of CM elliptic curves modulo \(p\) ⋮ Orders of reductions of elliptic curves with many and few prime factors ⋮ An induction principle for the Bombieri-Vinogradov theorem over \(\mathbb{F}_q [t\) and a variant of the Ttchmarsh divisor problem] ⋮ A Titchmarsh divisor problem for elliptic curves ⋮ BOMBIERI–VINOGRADOV THEOREMS FOR MODULAR FORMS AND APPLICATIONS ⋮ General L-functions ⋮ Primes, elliptic curves and cyclic groups ⋮ Cyclicity and exponents of CM elliptic curves modulo $p$ in short intervals ⋮ An analogue of the Siegel-Walfisz theorem for the cyclicity of CM elliptic curves mod \(p\) ⋮ A variant of the large sieve inequality with explicit constants ⋮ Unnamed Item ⋮ The analytic principle of the large sieve
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