Gottfried Helms
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Answers (75)

 10 Is $\sum\limits_{n=0}^\infty x^n / \sqrt{n!}$ positive? 10 Eigenvalues of infinite matrices 9 German mathematical terms like “Nullstellensatz” 9 The functional equation $f(f(x))=x+f(x)^2$ 7 How to prove that this equation has only one solution?

Reputation (2,423)

 +35 How to formalize the *loci of equal arg($\zeta(s)$)* (“isogones”) in the near of a nontrivial root +5 An infinite set of identities using Stirling numbers 1st kind - are they all zero? +10 Summating divergent series arising from the application of the Euler-Maclaurin formula to power law functions with non-integer exponents +10 Is $\sum\limits_{n=0}^\infty x^n / \sqrt{n!}$ positive?

Questions (21)

 12 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 Trouble with Jordan form of the truncated Carleman-matrix for $\sin(x)$ as size $n$ goes to infinity 7 How to formalize the *loci of equal arg($\zeta(s)$)* (“isogones”) in the near of a nontrivial root 6 An infinite set of identities using Stirling numbers 1st kind - are they all zero? 6 Fermat-quotient of “order” 3: I found $68^{112} \equiv 1 \pmod {113^3}$ - are there bigger examples known?

Tags (75)

 46 nt.number-theory × 31 22 functional-equations × 7 39 ds.dynamical-systems × 9 19 generating-functions × 4 38 reference-request × 17 18 fractional-iteration × 7 29 ca.analysis-and-odes × 12 17 real-analysis × 5 24 sequences-and-series × 15 16 collatz-conjecture × 5

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