Daodao Yang
Daodao Yang
It is proved that as T→∞, uniformly for all positive integers ℓ⩽(log3T)/(log4T), we have maxT⩽t⩽2Tζ(ℓ)1+it⩾Yℓ+o1log2Tℓ+1,where Yℓ=∫0∞uℓρ(u)du....
Davide Ravasini
Davide Ravasini
Haar null sets were introduced by Christensen in 1972 to extend the notion of sets with zero Haar measure to nonlocally compact Polish groups. In 2013, Darji defined a categorical version of Haar null sets, namely Haar meagre sets. The pres...
Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion-freeness [0.03%]
树的乘积中的格子、分层双曲群和虚拟无挠性
Sam Hughes
Sam Hughes
We construct cocompact lattices in a product of trees which are not virtually torsion-free. This gives the first examples of hierarchically hyperbolic groups which are not virtually torsion-free. ...
Aapo Kauranen,Rami Luisto,Ville Tengvall
Aapo Kauranen
We study global injectivity of proper branched coverings from the open Euclidean n -ball onto an open subset of the Euclidean n -space in the case where the branch set is compact. In particular, we show that such mappings are homeomorphis...
Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type [0.03%]
Herglotz-Nevanlinna函数的连分式展开与广义Stieltjes型不定字符串
Jonathan Eckhardt
Jonathan Eckhardt
We employ some results about continued fraction expansions of Herglotz-Nevanlinna functions to characterize the spectral data of generalized indefinite strings of Stieltjes type. In particular, this solves the corresponding inverse spectral...
Christian Elsholtz,Stefan Planitzer
Christian Elsholtz
We prove new upper bounds on the number of representations of rational numbers m n as a sum of four unit fractions, giving five different regions, depending on the size of m in terms of n . In particular, we improve the most relevant cases...
Pseudo-loop conditions [0.03%]
伪循环条件
Pierre Gillibert,Julius Jonušas,Michael Pinsker
Pierre Gillibert
About a decade ago, it was realised that the satisfaction of a given identity (or equation) of the form f ( x 1 , … , x n ) ≈ f ( y 1 , … , y n ) in an algebra is equivalent to the algebra forcing a loop into any graph o...
Volker Branding,Cezar Oniciuc
Volker Branding
We prove several unique continuation results for biharmonic maps between Riemannian manifolds. Keywords: 31B...
Bogachev, V. I.; Da Prato, G.; Rockner et al.
Bogachev et al.