Gottfried Helms's user avatar
Gottfried Helms's user avatar
Gottfried Helms's user avatar
Gottfried Helms
  • Member for 13 years, 8 months
  • Last seen this week
13 votes
1 answer
760 views

Cesaro(?)/Euler(?) - summation of the $s(p)=\sum_{k=0}^\infty (-1)^{H(k)} (1+k)^p$ for $p=1,2,3,...$ (where $H(k)$ is the Hamming-weight)

9 votes
1 answer
585 views

Trouble with Jordan form of the truncated Carleman-matrix for $\sin(x)$ as size $n$ goes to infinity

8 votes
2 answers
288 views

How to formalize the *loci of equal arg($\zeta(s)$)* ("isogones") in the near of a nontrivial root

8 votes
1 answer
779 views

An infinite set of identities using Stirling numbers 1st kind - are they all zero?

7 votes
2 answers
548 views

For an approach to the Hadamard-matrix-problem: is there a proof, that the iterative plane-wise orthogonal rotations (Quartimax/Varimax) converge to global maximum?

7 votes
1 answer
621 views

Fermat-quotient of "order" 3: I found $68^{112} \equiv 1 \pmod {113^3}$ - are there bigger examples known?

6 votes
1 answer
453 views

Efficient (divergent) summation for sum of zetas at negative arguments?

6 votes
0 answers
732 views

$f(x) \ne g(x)$ but $f(f(x))=g(g(x))$ - is there a name/some discussion of this property?

6 votes
4 answers
483 views

When is $\{b^2 - \{b-1\}_2\}_2=1$ with odd $b$? (The bracket-notation explained below)

5 votes
1 answer
543 views

Can I assign the term "is eigenvector" and "is eigenmatrix" of matrix $P$ in my specific (infinite-size) case?

5 votes
1 answer
721 views

mertens-function in the light of divergent summation - what summation method were best adapted

5 votes
0 answers
190 views

"Bell" or "Jabotinsky"-matrix - What's the canonical name (if any)?

5 votes
0 answers
217 views

Oscillation aspects of two-way infinite alternating series (a followup from the MO-question "functions that eventually oscillate")

4 votes
1 answer
437 views

Is that series-transformation known in the context of divergent summation?

4 votes
1 answer
399 views

Can the relative count of the primefactors in $\small \lim_{w\to\infty}\prod_{k=1}^w (p_k-1) $ be determined analytically?

4 votes
2 answers
498 views

How to check numerical precision of my computation of Stieltjes-constants?

3 votes
0 answers
264 views

Alternating sums of powers of the lngamma ($\small f_p(x) = \sum \log(k!)^p x^k $ at $\small x=-1$)

3 votes
1 answer
309 views

Is there a systematic relation between the generating functions for the rows vs that for columns of infinite sized Carleman-matrices?

3 votes
0 answers
255 views

What would be a better method for numerical diagonalization of a certain Vandermonde-like matrix?

3 votes
1 answer
571 views

What is the (fractional) half-derivative of zeta at $s=0$ (and how to compute it)?

2 votes
0 answers
67 views

Question about a set of Laplace-transforms

2 votes
0 answers
209 views

Who defined the term "Carleman-matrix" and also their properties as they are?

2 votes
0 answers
328 views

Fractional iteration of a variant of the $\sin()$ function - how to fractionally iterate $ f(x)=\sum_{k=1}^\infty (-1)^k a_{2k}x^{2k}$?

1 vote
1 answer
491 views

A Zsigmondy-theorem-analogy in the generalized Collatz-problem $3x+\rho$?

1 vote
0 answers
263 views

Is my ansatz for finding $n$-periodic-points of the exponential-function exhaustive?

1 vote
0 answers
144 views

Any possible way to invert a function built from a sum of two?

1 vote
1 answer
660 views

What are conditions to make f(x) defined by f(x)=f(x-1)*x + 1/e unique(for instance convex)?

0 votes
1 answer
250 views

Efficient way for computation of derivatives of $f(x) = \zeta(1-x) + 1/x $ at integer x?

0 votes
0 answers
143 views

Is there an option to handle Neumann-series when it diverges? (using infinite-sized Carleman matrices)

0 votes
1 answer
351 views

On the relevance of the property $\exp^{\circ a}(\exp^{\circ b}(z))=\exp^{\circ a+b}(z)$ for the *fractional* iteration ("tetration")