Question

Do complex exponential equations have solutions in general?

score 90 · Answer 1 · 2021-10-28 15:02:41

90

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Do complex exponential equations have solutions in general?

Published on 28 Oct 2021 - 15:02

score 60 · Answer 2 · 2021-11-08 16:53:05

60

Views

Is there a closed form expression for the following exponential sum?

Published on 08 Nov 2021 - 16:53

score 171 · Answer 3 · 2026-03-25 19:25:19

171

Views

How to find the Gauss sum $\sum_{x=0}^{p-1} e^{2\pi i(ax^2+bx+c)/p}$?

Published on 25 Mar 2026 - 19:25

score 70 · Answer 4 · 2021-12-04 18:04:05

70

Views

Product representation of some exponential functions?

Published on 04 Dec 2021 - 18:04

score 89 · Answer 5 · 2021-12-09 20:32:15

89

Views

Sums of powers of exponentials

Published on 09 Dec 2021 - 20:32

score 140 · Answer 6 · 2022-01-20 09:08:20

140

Views

Fourier series approximations for characteristic functions of intervals in $[0,1]$

Published on 20 Jan 2022 - 9:08

score 59 · Answer 7 · 2022-01-27 15:15:42

59

Views

Series for the higher derivatives of the Zeta function around S=1 with Stieltjes constants?

Published on 27 Jan 2022 - 15:15

score 169 · Answer 8 · 2022-01-30 01:54:58

169

Views

How to find real and imaginary parts of this complex exponential sum?

Published on 30 Jan 2022 - 1:54

score 108 · Answer 9 · 2022-02-11 22:19:28

108

Views

Upper bound for sum of powers of 2 from 1 to $\log n$ where powers are multiplied by 2 each time?

Published on 11 Feb 2022 - 22:19

score 328 · Answer 10 · 2022-02-23 12:45:44

328

Views

Limit of summation of $\sum_{i=0}^{\infty} e^{-ik}$ series

Published on 23 Feb 2022 - 12:45

score 59 · Answer 11 · 2022-03-16 15:11:04

59

Views

How to show $\displaystyle\sum_{j=1}^n \cos\left((k+l)\frac{\pi (j-1/2)}{n}\right) = 0$

Published on 16 Mar 2022 - 15:11

score 32 · Answer 12 · 2026-03-27 06:07:25

32

Views

Proving that periodic vector-valued function satisfies $f(\mathbf x)= f(\mathbf x')$ iff $\mathbf x' = \mathbf x + k + \mathbf am$

Published on 27 Mar 2026 - 6:07

score 115 · Answer 13 · 2022-05-02 15:03:28

115

Views

Evaluating an exponential sum along an arithmetic progression

Published on 02 May 2022 - 15:03

score 125 · Answer 14 · 2022-05-22 17:06:17

125

Views

Solution (recurrence relation) of non-linear DE using the method of power series

Published on 22 May 2022 - 17:06

score 130 · Answer 15 · 2022-05-27 12:07:10

130

Views

Asymptotics for an exponential sum

Published on 27 May 2022 - 12:07

List Question

Do complex exponential equations have solutions in general?

Is there a closed form expression for the following exponential sum?

How to find the Gauss sum $\sum_{x=0}^{p-1} e^{2\pi i(ax^2+bx+c)/p}$?

Product representation of some exponential functions?

Sums of powers of exponentials

Fourier series approximations for characteristic functions of intervals in $[0,1]$

Series for the higher derivatives of the Zeta function around S=1 with Stieltjes constants?

How to find real and imaginary parts of this complex exponential sum?

Upper bound for sum of powers of 2 from 1 to $\log n$ where powers are multiplied by 2 each time?

Limit of summation of $\sum_{i=0}^{\infty} e^{-ik}$ series

How to show $\displaystyle\sum_{j=1}^n \cos\left((k+l)\frac{\pi (j-1/2)}{n}\right) = 0$

Proving that periodic vector-valued function satisfies $f(\mathbf x)= f(\mathbf x')$ iff $\mathbf x' = \mathbf x + k + \mathbf am$

Evaluating an exponential sum along an arithmetic progression

Solution (recurrence relation) of non-linear DE using the method of power series

Asymptotics for an exponential sum

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