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Jan 13, 2021 at 12:08 vote accept MightyPower
Jan 12, 2021 at 10:23 comment added MightyPower @მამუკაჯიბლაძე Thank you!
Jan 12, 2021 at 0:58 answer added Alexandre Eremenko timeline score: 6
Jan 11, 2021 at 21:30 comment added მამუკა ჯიბლაძე There is a question here on MO about this same series (up to substitution)
Jan 11, 2021 at 19:52 comment added MightyPower Yeh, here $a$ - some real parameter.
Jan 11, 2021 at 19:31 comment added Noam D. Elkies It's really $f(|z|;a)$. That aside, if $a$ is a rational multiple of $\pi$ then $f(z;a)$ is a linear combination of terms $\exp 2c|z|$ for some roots of unity $c$ (because $e^{-ian^2}$ is periodic and can be written as a discrete Fourier series). Irrational multiples of $\pi$ seem much harder.
Jan 11, 2021 at 18:56 history asked MightyPower CC BY-SA 4.0