New results on integration on the Levi-Civita field

Title	Journal	Journal Categories	Citations	Publication Date
Analytical properties of power series on Levi-Civita fields	Annales mathématiques Blaise Pascal	Science: Mathematics	14	2005
Analysis on the Levi-Civita field, a brief overview	Contemporary Mathematics	Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods Science: Mathematics		2010
On the topological structure of the Levi-Civita field	Journal of Mathematical Analysis and Applications	Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods Science: Mathematics	8	2010
Measure theory and integration on the Levi-Civita field	Contemporary Mathematics	Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods Science: Mathematics		2003
Fields: algebraically closed and others	manuscripta mathematica	Science: Mathematics		1992

Title	Journal	Journal Categories	Citations	Publication Date
On a New Measure on the Levi-Civita Field $$ \mathcal{R} $$	p-Adic Numbers, Ultrametric Analysis and Applications	Science: Mathematics		2023
A Real-Valued Measure on non-Archimedean Field Extensions of $$\mathbb{R}$$	p-Adic Numbers, Ultrametric Analysis and Applications	Science: Mathematics		2022
An Incompatibility Result on non-Archimedean Integration	p-Adic Numbers, Ultrametric Analysis and Applications	Science: Mathematics		2021
Spaces of measurable functions on the Levi-Civita field	Indagationes Mathematicae	Science: Mathematics	4	2020
Infinite Lotteries, Spinners, Applicability of Hyperreals†	Philosophia Mathematica	Philosophy. Psychology. Religion: Philosophy (General) Philosophy. Psychology. Religion: Philosophy (General) Social Sciences	3	2020

Category	Category Repetition
Science: Mathematics	7
Philosophy. Psychology. Religion: Philosophy (General)	2
Social Sciences	2
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods	1

The category Science: Mathematics 7 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On the solutions of linear ordinary differential equations and Bessel-type special functions on the Levi-Civita field and was published in 2015. The most recent citation comes from a 2023 study titled On a New Measure on the Levi-Civita Field $$ \mathcal{R} $$. This article reached its peak citation in 2020, with 3 citations. It has been cited in 5 different journals. Among related journals, the p-Adic Numbers, Ultrametric Analysis and Applications cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.

Abstract