2 problems

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Jones's explicit tracelike-vector question
Given a discrete subgroup $\Gamma\leq \operatorname{PSL}_2(\mathbb{Z})$ in Jones's cusp-form and von Neumann-algebra construction, find an explicit formula for a tracelike vector…
claimed solvedcusp-forms modular-forms operator-algebras
00
The square-root cancellation conjecture for Fourier coefficients of cusp forms
At least 10 years old
Square-root cancellation conjecture. As $N\to\infty$ ,
opencusp-forms modular-forms random-walks
06

Jones's explicit tracelike-vector question