exceptional real zero of Dirichlet L-function
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Siegel_zero
|
| gptkbp:defines |
A real zero of a Dirichlet L-function that is very close to 1, but not equal to 1.
|
| gptkbp:field |
analytic number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
exceptional real zero of Dirichlet L-function
|
| gptkbp:namedAfter |
gptkb:Carl_Ludwig_Siegel
|
| gptkbp:property |
If such a zero exists, it is unique for a given modulus.
The existence of Siegel zeros would have consequences for the distribution of primes in arithmetic progressions. |
| gptkbp:relatedTo |
gptkb:lion
gptkb:prime_number_theorem_for_arithmetic_progressions gptkb:Generalized_Riemann_Hypothesis |
| gptkbp:status |
Existence is unproven; believed not to exist under the Generalized Riemann Hypothesis.
|
| gptkbp:bfsParent |
gptkb:Siegel_zero
|
| gptkbp:bfsLayer |
7
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