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math.NT2023
Ramanujan Bigraphs
Shai Evra, Brooke Feigon, Kathrin Maurischat +1
In their seminal paper, Lubotzky, Phillips and Sarnak (LPS) defined the notion of regular Ramanujan graphs and gave an explicit construction of infinite families of -regular…
math.NT2023
The Cohomological Sarnak-Xue Density Hypothesis for
Shai Evra, Mathilde Gerbelli-Gauthier, Henrik P. A. Gustafsson
We prove the cohomological version of the Sarnak--Xue Density Hypothesis for over a totally real field and for inner forms split at all finite places. The proof relies on…