Results 11 to 20 of about 6,503,100 (217)
Nevanlinna analytic continuation for Migdal–Eliashberg theory [PDF]
Computational Materials TodayIn this work, we present a method to reconstruct real-frequency properties from analytically continued causal Green’s functions within the framework of Migdal–Eliashberg (ME) theory for superconductivity.
D.M. Khodachenko +4 more
doaj +5 more sources
Ax-Schanuel Type Theorems on Functional Transcendence via Nevanlinna Theory [PDF]
arXiv, 2019 We will apply Nevanlinna Theory to prove several Ax-Schanuel type Theorems for functional transcendence when the exponential map is replaced by other meromorphic functions. We also show that analytic dependence will imply algebraic dependence for certain classes of entire functions.
Jiaxing Huang, Tuen‐Wai Ng
arxiv +4 more sources
Nevanlinna theory for the difference operator [PDF]
arXiv, 2005 Certain estimates involving the derivative $f\mapsto f'$ of a meromorphic function play key roles in the construction and applications of classical Nevanlinna theory.
Halburd, R. G., Korhonen, R. J.
core +8 more sources
Nevanlinna Theory of the Wilson Divided-difference Operator [PDF]
, 2017 Sitting at the top level of the Askey-scheme, Wilson polynomials are regarded as the most general hypergeometric orthogonal polynomials. Instead of a differential equation, they satisfy a second order Sturm-Liouville type difference equation in terms of ...
Cheng, Kam Hang, Chiang, Yik-Man
core +3 more sources
Nevanlinna theory via holomorphic forms [PDF]
Pacific J. Math. 319 (2022) 55-74, 2022 This paper re-develops the Nevanlinna theory for meromorphic functions on $\mathbb C$ in the viewpoint of holomorphic forms. According to our observation, Nevanlinna's functions can be formulated by a holomorphic form. Applying this thought to Riemann surfaces, one then extends the definition of Nevanlinna's functions using a holomorphic form $\mathscr
Xianjing Dong, Shuangshuang Yang
arxiv +3 more sources
Nevanlinna theory for tropical hypersurfaces [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2023 The tropical Nevanlinna theory is Nevanlinna theory for tropical functions or maps over the max-plux semiring by using the approach of complex analysis.
Tingbin Cao, Jianhua Zheng
openalex +3 more sources
Multiplier ideal sheaves, Nevanlinna theory, and diophantine approximation [PDF]
arXiv, 2007 This note states a conjecture for Nevanlinna theory or diophantine approximation, with a sheaf of ideals in place of the normal crossings divisor. This is done by using a correction term involving a multiplier ideal sheaf. This new conjecture trivially implies earlier conjectures in Nevanlinna theory or diophantine approximation, and in fact is ...
Paul Vojta
arxiv +3 more sources
New results on the existences of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator and their applications [PDF]
Journal of Inequalities and Applications, 2017 In this paper, by using the Beurling-Nevanlinna type inequality we obtain new results on the existence of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator.
Xu Chen, Lei Zhang
doaj +2 more sources
A Climatology of Long‐Duration High 2‐MeV Electron Flux Periods in the Outer Radiation Belt [PDF]
Journal of Geophysical Research: Space Physics, Volume 127, Issue 8, August 2022., 2022 Abstract Since the advent of the Space Age, the importance of understanding and forecasting relativistic electron fluxes in the Earth’s radiation belts has been steadily growing due to the threat that such particles pose to satellite electronics. Here, we provide a model of long‐duration periods of high time‐integrated 2‐MeV electron flux deep inside ...
D. Mourenas +3 more
wiley +2 more sources
Nevanlinna Theory and Rational Points [PDF]
arXiv, 1996 S. Lang conjectured in 1974 that a hyperbolic algebraic variety defined over a number field has only finitely many rational points, and its analogue over function fields. We discuss the Nevanlinna-Cartan theory over function fields of arbitrary dimension and apply it for Diophantine property of hyperbolic projective hypersurfaces (homogeneous ...
Junjirō Noguchi
arxiv +3 more sources