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math.NT2026
On a question of Jones on tracelike vectors, cusp forms, and von Neumann algebras
Nikolaos Diamantis, Larry Rolen
Using the theory of von Neumann algebras, Vaughan Jones showed abstractly that there is a bridge between holomorphic cusp forms and random matrices. This bridge is supplied by a di…
math.NT2026
Sums of Kloosterman sums formed with modular symbols
Nikolaos Diamantis, Solomon Friedberg, Fredrik Strömberg
We study sums of Kloosterman sums formed with a modular symbol. Employing Tauberian methods, we first give an estimate for a (Riesz) sum of Ramanujan sums formed with a modular sym…