Medium-sized values for the prime number theorem for primes in arithmetic progressions
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Publication:2075858
zbMath1483.11202arXiv2101.08610MaRDI QIDQ2075858
Publication date: 16 February 2022
Published in: The New York Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.08610
(zeta (s)) and (L(s, chi)) (11M06) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Primes in congruence classes (11N13)
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Cites Work
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- Explicit bounds for primes in arithmetic progressions
- On distribution of primes in an arithmetical progression
- An explicit result for primes between cubes
- Explicit bounds on exceptional zeroes of Dirichlet \(L\)-functions. II
- Approximate formulas for some functions of prime numbers
- Explicit bounds on exceptional zeroes of Dirichlet \(L\)-functions
- Distribution of zeros of Dirichlet L-functions and an explicit formula for ψ(t, χ)
- Explicit Estimates for the Error Term in the Prime Number Theorem for Arithmetic Progressions
- Explicit Estimates for θ (x; 3, l) and ψ(x; 3, l)
- Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)
- The large sieve
- Estimates of $\theta(x;k,l)$ for large values of $x$
- Primes in arithmetic progressions
- The error term in the prime number theorem
- An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions
- A variant of the Bombieri-Vinogradov theorem with explicit constants and applications
- Une région explicite sans zéros pour la fonction ζ de Riemann
- Counting zeros of Dirichlet $L$-functions
- On a result of Littlewood concerning prime numbers
