Total Convergence or General Divergence¶in Small Divisors

R. Pérez-Marco

doi:10.1007/s002200100457

Total Convergence or General Divergence¶in Small Divisors

Communications in Mathematical Physics ◽

10.1007/s002200100457 ◽

2001 ◽

Vol 223 (3) ◽

pp. 451-464 ◽

Cited By ~ 17

Author(s):

R. Pérez-Marco

Keyword(s):

Small Divisors ◽

General Divergence

A link between small divisors and smoothness of the solutions of a class of partial, differential operators

Annals of Global Analysis and Geometry ◽

10.1007/bf02329733 ◽

1983 ◽

Vol 1 (3) ◽

pp. 77-92 ◽

Cited By ~ 4

Author(s):

P. R. Popivanov

Keyword(s):

Differential Operators ◽

Small Divisors ◽

Partial Differential ◽

Partial Differential Operators

Diophantine conditions in small divisors and transcendental number theory

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2003.9.1401 ◽

2003 ◽

Vol 9 (6) ◽

pp. 1401-1409

Author(s):

E. Muñoz Garcia ◽

◽

R. Pérez-Marco ◽

Keyword(s):

Number Theory ◽

Transcendental Number ◽

Small Divisors

Iteration and differential equations II: Small divisors

Early Days in Complex Dynamics - History of Mathematics ◽

10.1090/hmath/038/05 ◽

2011 ◽

pp. 67-91

Keyword(s):

Differential Equations ◽

Small Divisors

Hierarchical Bayes versus empirical Bayes density predictors under general divergence loss

Biometrika ◽

10.1093/biomet/asy073 ◽

2018 ◽

Vol 106 (2) ◽

pp. 495-500

Author(s):

M Ghosh ◽

T Kubokawa

Keyword(s):

Empirical Bayes ◽

Hierarchical Bayes ◽

General Divergence

On the Parity of the Number of Small Divisors of n

Analytic Number Theory ◽

10.1007/978-3-319-22240-0_6 ◽

2015 ◽

pp. 93-100

Author(s):

Kevin Ford ◽

Florian Luca ◽

Carl Pomerance ◽

Jeffrey Shallit

Keyword(s):

Small Divisors

Trace Formula for Quantum Integrable Systems, Lattice-Point Problem, and Small Divisors

Emerging Applications of Number Theory - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4612-1544-8_1 ◽

1999 ◽

pp. 1-38 ◽

Cited By ~ 3

Author(s):

Pavel Bleher

Keyword(s):

Trace Formula ◽

Integrable Systems ◽

Lattice Point ◽

Point Problem ◽

Small Divisors ◽

Quantum Integrable Systems ◽

Lattice Point Problem

On the small divisors in the lunar theory

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1902-1500593-x ◽

1902 ◽

Vol 3 (2) ◽

pp. 159-159

Author(s):

Ernest William Brown

Keyword(s):

Lunar Theory ◽

Small Divisors

A remark on small divisors problems

Czechoslovak Mathematical Journal ◽

10.21136/cmj.1978.101509 ◽

1978 ◽

Vol 28 (1) ◽

pp. 1-12 ◽

Cited By ~ 1

Author(s):

Hana Petzeltová ◽

Pavla Vrbová

Keyword(s):

Small Divisors

The existence of Siegel disks for the Cremona map

Filomat ◽

10.2298/fil1709705s ◽

2017 ◽

Vol 31 (9) ◽

pp. 2705-2712

Author(s):

Yong-Guo Shi ◽

Qian Zhang

Keyword(s):

Functional Equation ◽

Analytic Solutions ◽

Small Divisors ◽

Brjuno Condition

This paper is concerned with the existence of Siegel disks of the Cremona map F?(x,y)=(x cos?-(y-x2) sin?, x sin?+(y-x2) cos?) with the parameter ? ? [0, 2?). This problem is reduced to the existence of local invertible analytic solutions to a functional equation with small divisors ?n + ?-n - ? - ?-1. The main aim of this paper is to investigate whether this equation with |?|=1 has such a solution under the Brjuno condition.

An asymptotic solution to a problem involving two simultaneous small divisors

Celestial Mechanics ◽

10.1007/bf01229057 ◽

1976 ◽

Vol 14 (4) ◽

pp. 429-463 ◽

Cited By ~ 2

Author(s):

L. Lewin ◽

J. Vagners

Keyword(s):

Asymptotic Solution ◽

Small Divisors