Chebotarev density theorem in short intervals for extensions of 𝔽_{𝕢}(𝕋)

DOI10.1090/tran/7945zbMath1460.11145arXiv1810.06201OpenAlexW3124483401MaRDI QIDQ5206271

William F. Sawin, Ofir Gorodetsky, Taelin Karidi, Lior Bary-Soroker

Publication date: 18 December 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06201

zbMATH Keywords

distribution of primesglobal function fieldsChebotarev density theorem

Mathematics Subject Classification ID

Galois theory (11S20) Distribution of primes (11N05) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items

The tamely ramified geometric quantitative minimal ramification problem ⋮ A geometric approach to counting norms in cyclic extensions of function fields

Cites Work

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• Squarefree polynomials and Möbius values in short intervals and arithmetic progressions
• On the distribution of integral ideals and Hecke Grössencharacters
• An explicit Chebotarev density theorem under GRH
• Der Čebotarev'sche Dichtigkeitssatz und ein Analogon zum Dirichlet'schen Primzahlsatz für algebraische Funktionenkörper. (Chebotarev's density theorem and an anlogue to Dirichlet's theorem on primes for algebraic function fields )
• An analog to the discriminant over fields of characteristic two
• Arithmetic in generalized Artin-Schreier extensions of k(x)
• The Galois group of a polynomial with two indeterminate coefficients
• Arithmetic functions in short intervals and the symmetric group
• The Hooley-Huxley contour method for problems in number fields. III: Frobenian functions
• Prime polynomials in short intervals and in arithmetic progressions
• Der Primdivisorsatz für algebraische Funktionenkörper über einem endlichen Konstantenkörper
• The Variance of the Number of Prime Polynomials in Short Intervals and in Residue Classes
• Shifted convolution and the Titchmarsh divisor problem over 𝔽_q[t]
• The autocorrelation of the Möbius function and Chowla's conjecture for the rational function field in characteristic 2
• Sur les séries $L$ d'une variété algébrique
• Modular Forms and the Chebotarev Density Theorem
• Some problems of analytic number theory
• On the norms of algebraic integers
• The Farey density of norm subgroups of global fields (II)
• Sums of two squares in short intervals in polynomial rings over finite fields
• Decoupling for Perturbed Cones and the Mean Square of $|\zeta (\frac 12+it)|$
• Monodromy of Hyperplane Sections of Curves and Decomposition Statistics over Finite Fields
• A variant of the Bombieri–Vinogradov theorem in short intervals and some questions of Serre
• A POLYNOMIAL ANALOGUE OF LANDAU'S THEOREM AND RELATED PROBLEMS
• THE DISTRIBUTION OF PRIME NUMBERS
• Correlations of Sums of Two Squares and Other Arithmetic Functions in Function Fields
• Primes in short intervals
• The Chebotarev density theorem in short intervals and some questions of Serre