Hensleyʼs problem for complex and non-Archimedean meromorphic functions

Büchiʼs problem asks if there exists a positive integer M such that all x 1 , … , x M ∈ Z satisfying the equations x r 2 − 2 x r − 1 2 + x r − 2 2 = 2 for all 3 ⩽ r ⩽ M must also satisfy x r 2 = ( x + r ) 2 for some integer x. Hensleyʼs problem asks if there exists a positive integer M such that, fo...

Full description

Saved in:

Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 381; no. 2; pp. 661 - 677
Main Authors:	An, Ta Thi Hoai, Wang, Julie Tzu-Yueh
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 15.09.2011 Elsevier
Subjects:	Buchiʼs problem Exact sciences and technology Functions of a complex variable Hensleyʼs problem Hilbertʼs tenth problem Mathematical analysis Mathematics Meromorphic functions Nevanlinna theory Non-Archimedean meromorphic functions Partial differential equations Sciences and techniques of general use Several complex variables and analytic spaces Value distribution theory Hilbertʼs tenth problem Buchiʼs problem Value distribution theory Non-Archimedean meromorphic functions Hensleyʼs problem Meromorphic functions Nevanlinna theory Complex function Integer Mathematical analysis Distribution function Hensley's problem Meromorphic function Buchi's problem Hilbert's tenth problem
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!