List questions from exponential-sum

Published on 30 Jan 2020 - 11:59

40

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Find all complex $z$ such that $z=\sum_{n=2}^{\infty}\sum_{k=1}^{n}e^{\frac{2\pi ikz}{n}}$

Published on 03 Feb 2020 - 6:03

59

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Finding a sum of certain pth roots of unity

Published on 06 Feb 2020 - 23:52

39

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Finding whole number solution to a multi variable nonlinear equation

Published on 20 Feb 2020 - 14:07

494

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Absolute value of an exponential sum

Published on 21 Feb 2020 - 22:54

86

Views

Does this sum $(1-\frac{1}{2^2})^{(1-\frac{1}{3^2})^{...^{(1-\frac{1}{p^2})}}}$ also related to Riemann zeta function?

Published on 27 Feb 2020 - 23:46

79

Views

What does the $\ll$ operator signify? This paper says "order" but why didn't they use the big or little Oh notation? is the same thing?

Published on 13 Mar 2020 - 23:29

53

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How to simplify √x when used as exponent?

Published on 26 Mar 2020 - 17:50

1k

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Is an exponential function strictly increasing?

Published on 05 Apr 2020 - 12:05

149

Views

Calculate the integral $\int_0^{2\pi}\sum_{k=n}^{\infty}\frac{e^{i(k-m)\theta}}{k+1}d\theta$

Published on 08 Apr 2020 - 10:28

213

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How to calculate the exponential function

Published on 12 Apr 2020 - 14:23

51

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Is the sum of this series finite?

Published on 20 Apr 2020 - 12:06

36

Views

How to write out this result? 10^116.75

Published on 02 May 2020 - 20:49

161

Views

A special type of Gauss sum

Published on 25 Mar 2026 - 7:43

91

Views

Formula or asymptotic behavior of a partial sum

Published on 12 May 2020 - 22:04

List Question

Problem in the derivation of replica partition function of Hopfield network.

Find all complex $z$ such that $z=\sum_{n=2}^{\infty}\sum_{k=1}^{n}e^{\frac{2\pi ikz}{n}}$

Finding a sum of certain pth roots of unity

Finding whole number solution to a multi variable nonlinear equation

Absolute value of an exponential sum

Does this sum $(1-\frac{1}{2^2})^{(1-\frac{1}{3^2})^{...^{(1-\frac{1}{p^2})}}}$ also related to Riemann zeta function?

What does the $\ll$ operator signify? This paper says "order" but why didn't they use the big or little Oh notation? is the same thing?

How to simplify √x when used as exponent?

Is an exponential function strictly increasing?

Calculate the integral $\int_0^{2\pi}\sum_{k=n}^{\infty}\frac{e^{i(k-m)\theta}}{k+1}d\theta$

How to calculate the exponential function

Is the sum of this series finite?

How to write out this result? 10^116.75

A special type of Gauss sum

Formula or asymptotic behavior of a partial sum

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