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TME-EMT-Wiki 01 documentation

TME-EMT-Wiki 01 documentation

Explicit bounds on primes
Explicit bounds on the Moebius function
Exact computations of the number of primes
Computations of arithmetical constants
Explicit results on exponential sums
Bounds for the Gamma function
Bounds for \(|\zeta(s)|\), \(|L(s,\chi)|\) and related questions
Size of \(L(1,\chi)\)
Explicit zero-free regions for the \(\zeta\) and \(L\) functions
Short intervals containing primes
Averages of non-negative multiplicative functions
Integer Points near Smooth Plane Curves
Explicit pointwise upper bounds for some arithmetic functions
Explicit bounds for class numbers
Sieve bounds
Character sums
Tools on Fourier transforms
Tools on Mellin transforms
Bounds on the Dedekind zeta-function
Primitive Roots
Primes in number fields
Bibliography

Primes in number fields¶

1. On the number of primes in a number field¶

2. On the Chebotarev Density Theorem¶

3. On the least prime ideal¶

TME-EMT: Bibliography

Primitive Roots

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Last updated on Jan 26, 2026

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Primes in number fields