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<h1 align=center> Arithmetic L-functions
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Loosely speaking, arithmetic L-functions are those Dirichlet series with appropriate functional equations and Euler products which should satisfy a Riemann Hypothesis. Selberg has given specific \begin{rawhtml}<a href="../11a">requirements</a>\end{rawhtml} which seem likely to make this definition precise. Arithmetic L-functions arise in many situations: from the representation theory of groups associated with number fields, from automorphic forms on arithmetic groups acting on symmetric spaces, and from the harmonic analysis on these spaces.\begin{rawhtml}
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Back to the 
<a href="http://www.aimath.org/WWN/rh/"> main index</a> 
for The Riemann Hypothesis.
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