Counting to p-adic Calculus: All Number Systems That We Have
Sep 18, 2022 · I want to consider the numbers by their mathematical meaning. I will describe the mathematics behind our number systems as simple as possible.
P-adic numbers and the Ramanujan summation - Physics Forums
Jul 9, 2023 · In mathematics, there is the Ramanujan summation: $$1+2+3+4+...=-\frac {1} {12}$$ https://en.wikipedia.org/wiki/1_+_2_+_3_+_4_+_⋯ This sum is used in...
Solutions to equations in the padic integers (rationals)
Jul 24, 2010 · I will post my solutions to a few problems I've considered here, I just need feedback from people who can tell me if my ideas are correct because I'm feeling shaky about the methods. Z7 is …
Infinity Numbers (Expanded P-Adic Numbers) • Physics Forums
Oct 4, 2023 · The discussion centers on the concept of p-adic numbers and the proposed expansion into "Infinity Numbers." Participants emphasize the need for clarity and adherence to established …
Series in Mathematics: From Zeno to Quantum Theory
Nov 7, 2023 · Explore the profound impact of series in mathematics, tracing their historical significance from ancient mathematicians to quantum theory.
Number Theory - Show harmonic numbers are not integers
Nov 29, 2005 · Q.Prove that 1+1/2+1/3+1/4+...+1/n is not an integer.n>0The discussion focuses on proving that the harmonic sum \ ( H_n = 1 + \frac {1} {2} + \frac {1} {3} + \ldots + \frac {1} {n} \) is not …
How to Find the Sum of 2^n/n! for n=2 to Infinity - Physics Forums
Aug 5, 2007 · I need to find the sum of 2^n/n! from n=2 to infinity, i know that it converges to e^x but how do i find the sum?