An explicit upper bound for the least prime ideal in the Chebotarev density theorem
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Publication:2421944
DOI10.5802/aif.3274zbMath1443.11238arXiv1807.00508OpenAlexW2964067236WikidataQ127707760 ScholiaQ127707760MaRDI QIDQ2421944
Publication date: 18 June 2019
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.00508
Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42) Density theorems (11R45) Distribution of prime ideals (11R44)
Related Items
Density questions on arithmetic equivalence, Polynomials over ring of integers of global fields that have roots modulo every finite indexed subgroup, An elliptic curve analogue of Pillai’s lower bound on primitive roots, Primes in the Chebotarev density theorem for all number fields (with an appendix by Andrew Fiori), On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility, On an explicit zero-free region for the Dedekind zeta-function, Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields, Lower bounds for the least prime in Chebotarev, Unnamed Item, Lower estimates for the prime ideal of degree one counting function in the Chebotarev density theorem
Cites Work
- Some explicit zero-free regions for Hecke \(L\)-functions
- Explicit zero density theorems for Dedekind zeta functions
- Explicit zero-free regions for Dirichlet L-functions
- Explicit estimates for the zeros of Hecke \(L\)-functions
- A note on the least prime in an arithmetic progression
- Quelques applications du théorème de densité de Chebotarev
- A bound for the least prime ideal in the Chebotarev density theorem
- Chebotarëv and his density theorem
- Some effective cases of the Brauer-Siegel theorem
- Bounding the least prime ideal in the Chebotarev density theorem
- Über den Tschebotareffschen Dichtigkeitssatz
- An explicit bound for the least prime ideal in the Chebotarev density theorem
- Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function
- Approximate formulas for some functions of prime numbers
- The least quadratic non residue
- Corrigendum to \lq\lq Conditional bounds for the least quadratic non-residue and related problems\rq\rq
- On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions
- EXPLICIT ZERO-FREE REGIONS FOR DEDEKIND ZETA FUNCTIONS
- The distribution of quadratic residues and non‐residues
- Explicit Bounds for Primality Testing and Related Problems
- Une remarque sur la dérivée logarithmique de la fonction zêta de Riemann
- On the Least Prime in Certain Arithmetic Progressions
- On the Siegel-Tatuzawa theorem
- The least prime ideal.
- On the least prime in an arithmetic progression
- Minoration au point 1 des fonctions L et détermination des corps sextiques abéliens totalement imaginaires principaux
- Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)
- On Linnik's constant.
- On Linnik's constant
- The least prime which does not split completely
- Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression
- Explicit bounds for primes in residue classes
- An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions
- Real zeros of Dedekind zeta functions
- Conditional bounds for the least quadratic non-residue and related problems
- Une région explicite sans zéros pour la fonction ζ de Riemann
- A reduction of the Čebotarev density theorem to the cyclic case
- The zeros of the Riemann zeta-function
- Unnamed Item
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