Random matrix theory and moments of moments of L-functions
| Autor: | J. C. Andrade, C. G. Best |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Statistics and Probability
Algebra and Number Theory Mathematics - Number Theory Mathematics::Number Theory FOS: Mathematics FOS: Physical sciences Discrete Mathematics and Combinatorics Mathematical Physics (math-ph) Number Theory (math.NT) Statistics Probability and Uncertainty Mathematical Physics |
| Zdroj: | Random Matrices: Theory and Applications. |
| ISSN: | 2010-3271 2010-3263 |
| Popis: | We give an analytic proof of the asymptotic behaviour of the moments of moments of the characteristic polynomials of random symplectic and orthogonal matrices. We therefore obtain alternate, integral expressions for the leading order coefficients previously found by Assiotis, Bailey and Keating. We also discuss the conjectures of Bailey and Keating for the corresponding moments of moments of L-functions with symplectic and orthogonal symmetry. Specifically, we show that these conjectures follow from the shifted moments conjecture of Conrey, Farmer, Keating, Rubinstein and Snaith. Comment: 17 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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