12,544 reputation
11555
bio website go.helms-net.de
location Kassel, Germany
age 61
visits member for 3 years, 11 months
seen 3 mins ago

Mathematics is only a hobby - although I have done undergrad courses in the 70s. But part of my job was doing statistics and this kept me near my favourite subject "linear algebra" (programmed factor-analysis and a matrix-orientated calculator MatMate). Around 2002 I came in contact with the internet community in math newsgroups and could improve my Collatz discussion. Next subject was the Bernoulli numbers, then integer matrices and since 2006 the problem of iterated exponentiation aka tetration. Serving half-time jobs in teaching here at the university I found time to fiddle with that subjects in depth - and found love with the exploratory approach and impulse of the 18'th century numbertheory, namely L. Euler, "the master of us all"... Due to lack of formal education I've to do my "research" widely on my own - but that's what I just like: to find structure, pattern, laws from the ground.


1d
revised Generalizing the sum of consecutive cubes $\sum_{k=1}^n k^3 = \Big(\sum_{k=1}^n k\Big)^2$ to other odd powers
corrected error in denominator of the final expression for C^-1
1d
revised How can the following “funny identity” be generalised?
just took of a repeated portion of text
Aug
20
revised Does the inverse of this matrix of size $n \times n$ approach the zero-matrix in the limit as $\small n \to \infty$?
added 287 characters in body
Aug
13
revised When does $(a^p-1)/(a-1)$ have a $p$th power factor?
added 133 characters in body
Aug
13
revised Integer partitions without rotated solutions?
added 575 characters in body
Aug
13
revised Integer partitions without rotated solutions?
added 276 characters in body
Aug
9
revised Limit of differences of truncated series and integrals give Euler-gamma, zeta and logs. Why?
edited body
Aug
9
revised Limit of differences of truncated series and integrals give Euler-gamma, zeta and logs. Why?
added 35 characters in body
Aug
9
revised Limit of differences of truncated series and integrals give Euler-gamma, zeta and logs. Why?
added 692 characters in body
Aug
5
revised Generalization for Stirling numbers 2nd kind to negative column-indexes?
added image
Aug
5
revised Generalization for Stirling numbers 2nd kind to negative column-indexes?
added image
Aug
5
revised Generalization for Stirling numbers 2nd kind to negative column-indexes?
added 316 characters in body
Aug
5
revised Generalization for Stirling numbers 2nd kind to negative column-indexes?
added 316 characters in body
Aug
5
revised Generalization for Stirling numbers 2nd kind to negative column-indexes?
added 316 characters in body
Jul
16
revised Calculating a Factorial Base Representation
typo in title
Jul
11
revised Formula for Sum of Logarithms $\ln(n)^m$
tags extended
Jul
11
revised Formula for Sum of Logarithms $\ln(n)^m$
added 91 characters in body
Jul
11
revised Formula for Sum of Logarithms $\ln(n)^m$
added much explanation
Jul
9
revised LambertW: $ x=W(x\cdot e^{x}) $ for $ x \ge -1$ but not for $x \lt-1$. How do I express my formula/my text?
added link to my text where this occurs.
Jul
5
revised Clarification on tetration
typo "Kneser"