REVIEW 1 cited by
Two Matrix Model, the Riemann Hypothesis and Master Matrix Obstruction
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Two Matrix Model, the Riemann Hypothesis and Master Matrix Obstruction
read the original abstract
We identify the Riemann Xi function as the Baker-Akhiezer function for a (p,1) two matrix model as p goes to infinity. We solve the two matrix model using biorthogonal polynomials and study the zeros of the polynomials in the double scaling limit as N goes to infinity. We find zeros off the critical line at finite N which possibly go to infinity as N goes to infinity. We study other Baker-Akhiezer functions whose zeros are known to be on a critical line using the two matrix model technique and find the zeros on the critical line in those cases. We study other L-functions using the two matrix model and compare the biorthogonal method with other approaches to the two matrix model such as the master matrix approach and saddle point method. In cases where there are zeros off the critical line the master matrix approach encounters an obstruction to the solution to a quenched master matrix.
Forward citations
Cited by 1 Pith paper
-
Weighted Contrastive Learning for Anomaly-Aware Time-Series Forecasting
WECA, a contrastive loss that aligns normal and anomaly-augmented windows with severity-dependent weights, cuts anomaly-period SMAPE by 6.1 points on an ATM forecast benchmark with minimal normal-data loss.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.