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The Characteristic Polynomial of a Random Matrix.
- Source :
- Combinatorica; Aug2022, Vol. 42 Issue 4, p491-527, 37p
- Publication Year :
- 2022
-
Abstract
- Form an n × n matrix by drawing entries independently from {±1} (or another fixed nontrivial finitely supported distribution in Z) and let φ be the characteristic polynomial. We show, conditionally on the extended Riemann hypothesis, that with high probability φ is irreducible and Gal(φ) ≥ A<subscript>n</subscript>. [ABSTRACT FROM AUTHOR]
- Subjects :
- RIEMANN hypothesis
POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 02099683
- Volume :
- 42
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Combinatorica
- Publication Type :
- Academic Journal
- Accession number :
- 159474362
- Full Text :
- https://doi.org/10.1007/s00493-020-4657-0