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On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.

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A Cauchy-Schwarz inequality

We can decompose $\langle\widetilde{A}\varphi,\varphi\rangle$ as follows. \begin{split} \langle\widetilde{A}\varphi,\varphi\rangle&=\langle(\widetilde{A}-\bar{\kappa}A)\varphi,\varphi\rangle+\langle\ …
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