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TME-EMT-Wiki 01 documentation
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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
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Computations of arithmetical constants¶

Collecting references: [Cazaran and Moree, 1999].

1. Euler products of rational functions¶

The computation of Euler product of rational function is dealt with in [Moree, 2000]. The reader may also consult the following web pagefootnote{url{http://guests.mpim-bonn.mpg.de/moree/Moree.en.html}}.

2. Some special sums over prime values that are derivatives¶

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Explicit results on exponential sums
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Exact computations of the number of primes
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Last updated on Jan 26, 2026
On this page
  • Computations of arithmetical constants
    • 1. Euler products of rational functions
    • 2. Some special sums over prime values that are derivatives