
MRB constant proofs wanted - Mathematics Stack Exchange
$\begingroup$ what can you say about the expansion into the MRB constant formula with the derivatives of η() at zero, mentioned in formula 44 in the Crandall paper, lnk. $\endgroup$ – …
Solving for the growth rate given a finite sum.
Apr 4, 2020 · What are some working models that are a fit the formula for the MRB constant? 1 Can a sum of a finite number of exponentially growing numbers be calculated as a function of …
integration - What are some similarities between the MRB …
Oct 11, 2021 · What are some similarities between MRB=$\\sum _{x=0}^{\\infty } e^{i \\pi x} \\left(1-(x+1)^{\\frac{1}{x+1}}\\right) $ and M2= $\\int_0^\\infty e^{i \\pi x} \\left(1 ...
sequences and series - Mathematics Stack Exchange
Dec 13, 2017 · To break the ice, since everyone else is afraid to speak up, here is my answer as to a working model that is a fit the formula for the MRB constant, $$\sum^\infty_{k=1} ( …
$ C_{MRB}=\\sum _{x=1}^{\\infty } (-1)^x\\left(e^{\\frac{\\log x}{x}} …
Jun 18, 2023 · Or would that be useful in further study about the MRB constant? An GPT-4 search produced the phrase "Abscissa of absolute convergence." The reason for my madness is that …
Are there an Infinitude of Proper Integrals like this for General ...
Nov 2, 2021 · The following experimental evidence seems to indicate the following for the MRB constant (CMRB). Is it truly valid, and can it be generalized to other sums? Is it truly valid, and …
Is it possible to use a residue calculation to solve the complex ...
Sep 13, 2022 · For some insight, I looked at comments by @Brevan Ellefsen, but still wonder if this integral can be expressed more elementarily than just calling it $ C_{MRB},$ which is …
How would you prove $\\sum _{n=2}^{\\infty } (-1)^n \\left(n^{1/n ...
Jul 9, 2023 · Expounding upon the MRB constant, I found the following equation, where I go in steps from a single ...
Why is $\\exp(G)$ close to 2.5? - Mathematics Stack Exchange
Jan 23, 2024 · Background $$ \begin{aligned} \exp(G) &= 2.49918728\dots\\ G&= 0.91596559\dots\\ \end{aligned} $$ G represents Catalan's constant. $$ G = ∑_{n=1}^{∞} …
sequences and series - Mathematics Stack Exchange
Jul 30, 2020 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …