List questions from exponential-sum

Published on 13 May 2020 - 21:32

40

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Absolute value of sum of additive characters of $\mathbb{F}_p$

Published on 16 May 2020 - 14:33

403

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Number of zeros in difference of exponential sums: $\sum\limits_{i=1}^n a_i^x - \sum\limits_{i=1}^n b_i^x$

Published on 31 May 2020 - 12:29

673

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Sum of discrete Gaussian series

Published on 08 Jun 2020 - 8:52

1.1k

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Exponential Sum Approximation

Published on 12 Jun 2020 - 22:12

164

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Deciding convergence/divergence of $\sum_{m \geq 1} \frac{1}{m^3} \sum\limits_{\substack{k=1\\(m,k) = 1}}^m k \sin\left(\frac{2\pi k n}{m}\right)$

Published on 20 Jun 2020 - 19:11

133

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Equidistribution of powers of primitive roots modulo $p$

Published on 25 Mar 2026 - 12:54

313

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Why should $\sum_{m=1}^N e(\alpha m^3)$ be big for some $\alpha?$

Published on 29 Jun 2020 - 19:27

186

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A curious property of exponential sums for rational polynomials?

Published on 30 Jun 2020 - 16:41

2.1k

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A Nice Problem In Additive Number Theory

Published on 25 Mar 2026 - 12:32

72

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Almost-geometric series whose coefficients doubly exponentially decay up to $1$

Published on 15 Jul 2020 - 6:09

167

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The closed form solution to the equation with sum of exponential functions

Published on 22 Jul 2020 - 19:29

47

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Sum of Logarithms of expoenetial functions

Published on 25 Jul 2016 - 16:09

131

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Prove the series $\sum u_n(x)=1+\frac{x}{1!}+\frac{x^2}{2!}+\cdots+\frac{x^n}{n!}+\cdots$ converges uniformly on every bounded subset of $\Bbb R$.

Published on 28 Aug 2016 - 18:39

127

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Time complexity of Jacobi sums

Published on 29 Aug 2016 - 1:17

List Question

What would the infinite sum of c^n/n converge to?

Absolute value of sum of additive characters of $\mathbb{F}_p$

Number of zeros in difference of exponential sums: $\sum\limits_{i=1}^n a_i^x - \sum\limits_{i=1}^n b_i^x$

Sum of discrete Gaussian series

Exponential Sum Approximation

Deciding convergence/divergence of $\sum_{m \geq 1} \frac{1}{m^3} \sum\limits_{\substack{k=1\\(m,k) = 1}}^m k \sin\left(\frac{2\pi k n}{m}\right)$

Equidistribution of powers of primitive roots modulo $p$

Why should $\sum_{m=1}^N e(\alpha m^3)$ be big for some $\alpha?$

A curious property of exponential sums for rational polynomials?

A Nice Problem In Additive Number Theory

Almost-geometric series whose coefficients doubly exponentially decay up to $1$

The closed form solution to the equation with sum of exponential functions

Sum of Logarithms of expoenetial functions

Prove the series $\sum u_n(x)=1+\frac{x}{1!}+\frac{x^2}{2!}+\cdots+\frac{x^n}{n!}+\cdots$ converges uniformly on every bounded subset of $\Bbb R$.

Time complexity of Jacobi sums

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