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Feb
19
comment What is known about the complex solutions to $\zeta(s)=-1$?
My thoughts too. I was just wondering if there was anything in the literature on this "other case". Are there multiple solutions or just one solution, etc. For example, in the case $\zeta(s)=0$ it is known that there are an infinite number of such $s$ on the critical line. NB I've changed the title to reflect what I'm trying to get at.
Feb
19
asked What is known about the complex solutions to $\zeta(s)=-1$?
Feb
16
revised Can a substitution cause a convergent definite integral to diverge?
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Feb
11
comment How do you define the derivative of a function without an argument?
Maybe Differential Fields, with the operator $D$ is what you're looking for.
Feb
4
comment Proof of the limit using only elementary techniques
@TonyK ok yes not a limit ("tends to") - my mistake. But maybe it is approximately $e^n$.
Feb
4
comment Proof of the limit using only elementary techniques
Does this imply $\text{lcm}(1,2,\ldots,n)\to e^n$ as $n\to\infty$ ?
Feb
4
revised Complex integration identity
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Feb
2
comment Examples of double surface integrals
I found these online tutorials to be very good: tutorial.math.lamar.edu/Classes/CalcIII/…
Feb
2
revised Find a value for a number to the power of a complex number
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Jan
31
revised Trigonometric integral (arctg)
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Jan
24
revised The meaning of dot centered vertically, as in $3\cdot 5$
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Jan
24
answered The meaning of dot centered vertically, as in $3\cdot 5$
Jan
22
awarded  Yearling
Jan
21
comment Logarithms of Negative Numbers
$\log z=\log|z|+i\text {Arg} z $ if you take the principal branch. Exponentiating both sides gives $ z=|z|e^{i\text{Arg}( z)} $ as you might hope to expect.
Jan
20
comment Computing the integral of $\int \frac{25x^2}{(x+3)(x-2)^2}\,dx$
what is "impartial differentiation" ?
Jan
20
comment Proof of $\cos(y)$ and $\sin(y)$ using $e^{iy}$
A simple case of substitution followed by simplification will achieve what you want.
Jan
20
revised Solving $x\frac{\partial u}{\partial x} + y\frac{\partial u}{\partial y }=1$
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Jan
20
comment Does $\int_0^\infty \sin(x^{2/3}) dx$ converges?
Maybe $$I=\Im\int_0^\infty e^{ix^{2/3}}dx,$$ and then use the error function. Looks divergent.
Jan
20
revised Closed form for $ \prod_{k=1}^n (a+k^2) $
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Jan
20
revised Closed form for $ \prod_{k=1}^n (a+k^2) $
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