List questions from exponential-sum

Published on 12 Apr 2026 - 0:36

43

Views

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

Published on 14 Apr 2026 - 19:14

60

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Finding a sum of certain pth roots of unity

Published on 25 Mar 2026 - 15:17

42

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Finding whole number solution to a multi variable nonlinear equation

Published on 11 Apr 2026 - 1:31

497

Views

Absolute value of an exponential sum

Published on 14 Apr 2026 - 10:40

88

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 10 May 2026 - 15:48

80

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 25 Mar 2026 - 15:12

56

Views

How to simplify √x when used as exponent?

Published on 10 Apr 2026 - 12:07

1k

Views

Is an exponential function strictly increasing?

Published on 11 Apr 2026 - 12:00

152

Views

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

Published on 15 Apr 2026 - 17:12

216

Views

How to calculate the exponential function

Published on 09 Apr 2026 - 21:44

56

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Is the sum of this series finite?

Published on 16 Apr 2026 - 19:40

39

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How to write out this result? 10^116.75

Published on 16 Apr 2026 - 3:20

163

Views

A special type of Gauss sum

Published on 10 May 2026 - 17:37

94

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Formula or asymptotic behavior of a partial sum

Published on 14 Apr 2026 - 17:26

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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