Deuring–Heilbronn Phenomenon
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In mathematics, the Deuring–Heilbronn phenomenon, discovered by and , states that a counterexample to the
generalized Riemann hypothesis The Riemann hypothesis is one of the most important conjectures in mathematics. It is a statement about the zeros of the Riemann zeta function. Various geometrical and arithmetical objects can be described by so-called global ''L''-functions, whi ...
for one
Dirichlet L-function In mathematics, a Dirichlet L-series is a function of the form :L(s,\chi) = \sum_^\infty \frac. where \chi is a Dirichlet character and s a complex variable with real part greater than 1 . It is a special case of a Dirichlet series. By anal ...
affects the location of the zeros of other Dirichlet L-functions.


See also

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Siegel zero In mathematics, more specifically in the field of analytic number theory, a Landau–Siegel zero or simply Siegel zero, also known as exceptional zeroSee Iwaniec (2006).), named after Edmund Landau and Carl Ludwig Siegel, is a type of potential cou ...


References

* * * {{DEFAULTSORT:Deuring-Heilbronn phenomenon Analytic number theory