Abstract
We provide some evidence that the eigenvalues of the hermitian form $\sum_{a/q}|\sum_{n\le N}\varphi_ne(na/q)|^2$ tend to have a limit distribution when $N$ and $Q$ go simultaneously to infinity in such a way that $N/Q^2$ tends to a constant. We also present some background material, as well as a large sieve equality, when $N\Log^7 N = o(Q)$, that follows from our results.
Citation
Olivier Ramaré. "Eigenvalues in the large sieve inequality." Funct. Approx. Comment. Math. 37 (2) 399 - 427, September 2007. https://doi.org/10.7169/facm/1229619662
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