.. TME-EMT-Wiki documentation master file, created by
   sphinx-quickstart on Sat Aug  9 14:10:37 2025.
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.. meta::
   :keywords: Explicit Analytic Primes
  
   
============
TME-EMT Wiki
============

.. figure:: _static/Cheb2.png
 
 

    Fully explicit results in multiplicative number theory are often
    scattered through the litterature. The aim of this site is to present
    annoted bibliographies in order to keep track of the current
    knowledge. By the way, the acronym TME-EMT stands for 

    Théorie Multiplicative Explicite des nombres  /  Explicit Multiplicative number Theory  

**Managing editors**: *André de Camargo*. 

.. note::
   Modifications are to be sent to: ``tmeemt.wiki@gmail.com`` 
	
**Programming and Python side**: *Dominique Benielli* (Aix Marseille Université, Cellule de développement Institut Archimède)

Here are the contributors: 

*Olivier Bordellès*, *André de Camargo*, *Pierre
Dusart*, *Charles Greathouse*, *Harald Helfgott*, *Kiran S. Kedlaya*, *Ethan Lee*, *Pieter
Moree*, *Akhilesh P*, *Olivier Ramaré*, *Enrique Treviño*.   


.. toctree::
   :maxdepth: 4
	      
   Explicit bounds on primes<Art01.rst>
   Explicit bounds on the Moebius function<Art02.rst>
   Exact computations of the number of primes<Art03.rst>
   Computations of arithmetical constants<Art04.rst>
   Explicit results on exponential sums<Art05.rst>
   Bounds for the Gamma function<Art21.rst>
   Art06.rst
   Art07.rst
   Art08.rst
   Short intervals containing primes<Art09.rst>
   Averages of non-negative multiplicative functions<Art10.rst>
   Integer Points near Smooth Plane Curves<Art11.rst>
   Explicit pointwise upper bounds for some arithmetic functions<Art12.rst>
   Explicit bounds for class numbers<Art13.rst>
   The Class number one problem<Art13-1.rst>
   Sieve bounds<Art14.rst>
   Character sums<Art15.rst>
   Tools on Fourier transforms<Art16.rst>
   Tools on Mellin transforms<Art17.rst>
   Bounds on the Dedekind zeta-function<Art18.rst>
   Primitive Roots<Art19.rst>
   Primes in number fields<Art20.rst>
   Bibliography<Biblio2.rst>

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   .. note::

      :download:`PDF version of TME-EMT-Wiki<public/tme-emt-wiki.pdf>`