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Schlicht Dirichlet Series

Canadian Journal of Mathematics, 1958
For power series(1.1) for which(1.2),it has been known for four decades (1) that ƒ(z) is regular and univalent or schlicht in |z| < 1. This theorem, due to J. W. Alexander, has more recently been studied by Remak (5) who has shown that w = ƒ(z), under the hypothesis (1.2), maps |z| < 1 onto a star-like region, and if (1.2) is not satisfied=(z ...
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Dirichlet Series

2014
Mathematicians are very interested in prime numbers. In this snapshot, we will discuss some problems concerning the distribution of primes and introduce some special infinite series in order to study them.
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Chebyshev Subspaces of Dirichlet Series

Moscow University Mathematics Bulletin, 2023
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Regularly Increasing Entire Dirichlet Series

Mathematical Notes, 2003
Let \(F(s)=\sum_{n=0}^\infty a_ne^{s\lambda_n}\), \(s=\sigma+it\in\mathbb C\), be an entire Dirichlet series with \(\lambda_0=0\leq\lambda_n\nearrow+\infty\). Put \(M(\sigma):=\max\{| F(\sigma+it)| : t\in\mathbb R\}\), \(\mu(\sigma):=\max\{| a_n| e^{\sigma\lambda_n}: n\geq0\}\).
Filevich, P. V., Sheremeta, M. N.
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