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26 votes
3 answers
2k views

Universality of zeta- and L-functions

Voronin´s Universality Theorem (for the Riemann zeta-Function) according to Wikipedia: Let $U$ be a compact subset of the "critical half-strip" $\{s\in\mathbb{C}:\frac{1}{2}<Re(s)<1\}$ with ...
M.G.'s user avatar
  • 7,127
21 votes
7 answers
2k views

Identities and inequalities in analysis and probability

Usually, at the heart of a good limit theorem in probability theory is at least one good inequality – because, in applications, a topological neighborhood is usually defined by inequalities. Of course,...
2 votes
2 answers
258 views

Meromorphic extension of solutions to ODEs

I encountered the following question in my studies: Let us assume we have a real anlaytic solution to an ODE on $\mathbb{R}$ of Schr\"odinger type $-\psi''(x)+V(x)\psi(x)=\lambda \psi(x)$ but we ...
Zehner's user avatar
  • 167