Geodesic
Autocorrelations of characteristic polynomials for the Alternative Circular Unitary Ensemble
Glasgow mathematical journal, Tome 66 (2024) no. 1, pp. 51-64

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DOI

We find closed formulas for arbitrarily high mixed moments of characteristic polynomials of the Alternative Circular Unitary Ensemble, as well as closed formulas for the averages of ratios of characteristic polynomials in this ensemble. A comparison is made to analogous results for the Circular Unitary Ensemble. Both moments and ratios are studied via symmetric function theory and a general formula of Borodin-Olshanski-Strahov.
DOI : 10.1017/S0017089523000332
Mots-clés : Riemann zeta function, Alternative Hypothesis, random matrix theory, symmetric function theory 
Rodgers, Brad; Vallabhaneni, Harshith Sai. Autocorrelations of characteristic polynomials for the Alternative Circular Unitary Ensemble. Glasgow mathematical journal, Tome 66 (2024) no. 1, pp. 51-64. doi: 10.1017/S0017089523000332
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     title = {Autocorrelations of characteristic polynomials for the {Alternative} {Circular} {Unitary} {Ensemble}},
     journal = {Glasgow mathematical journal},
     pages = {51--64},
     year = {2024},
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000332/}
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