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2014
We present in this note a definition of zeta function of the field $\Qbb$ which incorporates all $p$-adic L-functions of Kubota-Leopoldt for all $p$ and also so called Soul\'e classes of the field $\Qbb$. This zeta function is a measure, which we construct using the action of the absolute Galois group $G_\Qbb$ on fundamental groups.}\abstract{We ...
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We present in this note a definition of zeta function of the field $\Qbb$ which incorporates all $p$-adic L-functions of Kubota-Leopoldt for all $p$ and also so called Soul\'e classes of the field $\Qbb$. This zeta function is a measure, which we construct using the action of the absolute Galois group $G_\Qbb$ on fundamental groups.}\abstract{We ...
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Regular Functions f(z) for which zf � (z) is α-Spiral
Transactions of the American Mathematical Society, 1972Libera, Richard J., Ziegler, Michael R.
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Taylor expansions of the functions \((1+z)^{x/z}\) and \((1+z)^{xz}\)
1991The author obtains the Taylor expansions for the functions \((1+z)^{x/2}\) and \((1+z)^{xz}\) by employing the Stirling numbers of the first kind \(S(n,k)\) generated by the Taylor expansions \[ {1\over k!}\ln^ k(1+z)=\sum_{n=k}^ \infty S(n,k){z^ n\over n!}, \qquad k=0,1,2,\dots, \quad | z|
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On Functions Satisfying R{f(z)/z} > 0
Proceedings of the American Mathematical Society, 1966openaire +1 more source