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The Loewner Energy via the Renormalised Energy of Moving Frames. [PDF]

Arch Ration Mech Anal
Michelat A, Wang Y.
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Asymptotics of commuting ℓ -tuples in symmetric groups and log-concavity. [PDF]

Res Number Theory
Bringmann K, Franke J, Heim B.
europepmc   +1 more source

An analytic proof of the stable reduction theorem. [PDF]

Math Ann
Song J, Sturm J, Wang X.
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Neck-pinching of C P 1 -structures in the PSL 2 C -character variety. [PDF]

J Topol
Baba S.
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Rostral and body shape analyses reveal cryptic diversity of Late Jurassic batomorphs (Chondrichthyes, Elasmobranchii) from Europe. [PDF]

Pap Palaeontol
Türtscher J, Jambura PL, Villalobos-Segura E, López-Romero FA, Underwood CJ, Thies D, Lauer B, Lauer R, Kriwet J.   +8 more
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Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers

Research in Number Theory, 2018
New expressions are given for the Fourier expansions of non-holomorphic Eisenstein series with weight k. Among other applications, this leads to non-holomorphic analogs of formulas of Ramanujan, Grosswald and Berndt containing Eichler integrals of ...
C. O’Sullivan
semanticscholar   +1 more source

A criterion of normality based on a single holomorphic function

, 2011
Let F be a family of functions holomorphic on a domain D ⊂ ℂ Let k ≥ 2 be an integer and let h be a holomorphic function on D, all of whose zeros have multiplicity at most k −1, such that h(z) has no common zeros with any f ∈ F.
Xiao Jun Liu, Shahar Nevo
semanticscholar   +1 more source

Coefficients of Holomorphic Functions

Journal of Mathematical Sciences, 2001
Denote by \(S\) the class of holomorphic univalent functions \(f\) in the disc \(E=\{z\in \mathbb{C}:|z|< 1\}\) of the form \[ f(z)= z+\sum^\infty_{n=2} a_n z^n \] and by \(S(M)\), and \(M> 1\), the subclasses of \(S\) of functions \(f\) satisfying the condition \(|f(z)|< M\) for \(z\in E\).
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