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Oct 26, 2022 at 7:21 comment added Alexey Ustinov @DapaoZhang Unfortunately I don't know where you can find the simple proof. It is always necessary to deal with the error term in Poisson summation formula.
Oct 26, 2022 at 7:18 history edited Alexey Ustinov CC BY-SA 4.0
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Oct 26, 2022 at 2:51 comment added Dapao Zhang Thank you! Does there exist a relatively simple proof? The sharp constant is not important to me.
Oct 25, 2022 at 18:41 history answered Alexey Ustinov CC BY-SA 4.0