2020
DOI: 10.48550/arxiv.2004.00612
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

The Diophantine problem for rings of exponential polynomials

Abstract: We prove unsolvability of the analogue of Hilbert's Tenth Problem for rings of exponential polynomials. The technique of proof consists of an interaction between Arithmetic, Analysis, Logic, and Functional Transcendence.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2021
2021
2021
2021

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
(1 citation statement)
references
References 20 publications
0
1
0
Order By: Relevance
“…From the view points of studying the algebraic structure of the exponential polynomials, it basically says that the radical of an exponential polynomial is also an exponential polynomial. We refer to [10], [7], and [8] for other expositions in this direction; and [2] for related results in logic.…”
Section: Introductionmentioning
confidence: 99%
“…From the view points of studying the algebraic structure of the exponential polynomials, it basically says that the radical of an exponential polynomial is also an exponential polynomial. We refer to [10], [7], and [8] for other expositions in this direction; and [2] for related results in logic.…”
Section: Introductionmentioning
confidence: 99%