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Results tagged with trace-formula
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user 11919
Theoretical issues and applications of the Selberg, Arthur and relative trace formulas
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$\DeclareMathOperator\SL{SL}$Multiplicities of irreducible representations in discrete part ...
You are asking what is known about the dimension of weight $k$ holomorphic cusp forms for $\mathrm{SL}_2(\mathbb{Z})$, and the multiplicities of Laplace eigenvalues of weight $0$ and weight $1$ Maass …
- 105k
13
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Kuznetsov trace formula, orthogonality of Bessel functions
The Bessel functions $J_\ell$ for $\ell\geq 1$ odd are pairwise orthogonal on the positive axis with respect to the measure $dx/x$. They correspond to the holomorphic spectrum (of various even weights …
- 105k