Divisibility conditions on the order of the reductions of algebraic numbers
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Publication:6045331
DOI10.1090/mcom/3848arXiv2110.08911OpenAlexW3207837863MaRDI QIDQ6045331
Publication date: 26 May 2023
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.08911
distribution of primesmultiplicative orderChebotarev density theoremnatural densityreductions of algebraic numbers
Density theorems (11R45) Distribution of prime ideals (11R44) Other abelian and metabelian extensions (11R20)
Cites Work
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- Reductions of algebraic integers
- The order of the reductions of an algebraic integer
- On primes \(p\) for which \(d\) divides \(\text{ord}_p(g)\)
- Quelques applications du théorème de densité de Chebotarev
- Some effective cases of the Brauer-Siegel theorem
- Square free values of the order function
- The correction factor in Artin's primitive root conjecture.
- Reductions of algebraic integers. II
- A unified and improved Chebotarev density theorem
- Approximate formulas for some functions of prime numbers
- Unified treatment of Artin-type problems
- On the density of some sets of primes, IV
- Artin's Primitive Root Conjecture – A Survey
- The degree of Kummer extensions of number fields
- Kummer Theory for Number Fields and the Reductions of Algebraic Numbers II
- Kummer theory for number fields and the reductions of algebraic numbers
- Divisibility of reduction in groups of rational numbers
- Character sums for primitive root densities
- Divisibility of reduction in groups of rational numbers II
