Defining Euler's number via elementary euclidean geometry (and a ...
Oct 16, 2015 · Defining Euler's number via elementary euclidean geometry (and a dimension limit) Ask Question Asked 10 years, 4 months ago Modified 10 months ago
Can Euler's number be interpreted as configuration spaces?
Jun 19, 2024 · I noticed that Euler's number (or the exponential function generally), seems like it can be interpreted as configuration spaces, but I'm not sure about the first term. The series expansion of the
nt.number theory - On Euler's polynomial $x^2+x+41$ - MathOverflow
Jun 10, 2019 · This is an elementary question about something way outside my area of expertise. A well-known observation due to Euler is that the polynomial $P(x)=x^2+x+41$ takes on ...
nt.number theory - Question on a crucial lemma in Euler's approach to ...
May 9, 2023 · 17 Euler's attack on the lemma was flawed precisely because of the (implicit) assumption regarding the veracity of a third powers product principle in $\mathbf Z [\sqrt {-3}]$. A close reading …
nt.number theory - Have any long-suspected irrational numbers turned ...
Euler's constant has been to computed almost 30 billion digits, using a quasilinear time algorithm due to Brent and McMillan. As a result, for any such number it's difficult to be surprised. You would need a …
nt.number theory - Euler and the Four-Squares Theorem - MathOverflow
Euler's intention was proving the Four-Squares Theorem, which is trivial for sums of two squares. But 18 = 3^2 + 3^2 is not what Euler was looking for.
transcendental number theory - Why is it hard to prove that the Euler ...
May 2, 2013 · Philosophically, there is essentially only one way to prove that a number is irrational/transcendental, which is to use the fact that there is no integer between 0 and 1. That is, …
Fibonacci series captures Euler $e=2.718\dots$ - MathOverflow
Explore related questions nt.number-theory co.combinatorics soft-question sequences-and-series fibonacci-numbers
nt.number theory - The inverse of the Euler totient function
Dec 13, 2025 · See also my recent paper "Computing the (number or sum of) inverses of Euler's totient and other multiplicative functions", which presents a generic dynamic programming algorithm for …
A question on Euler's totient function - MathOverflow
Apr 17, 2024 · 16 You may like to check my paper "Computing the Inverses, their Power Sums, and Extrema for Euler's Totient and Other Multiplicative Functions". There is also a PARI/GP …