On Liouville Decompositions of Polyadic Integers

V. G. Chirskii

On Liouville Decompositions of Polyadic Integers

V. G. Chirskii * §

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§ Moscow State Lomonosov University, MPSU, RANEPA

On Liouville Decompositions of Polyadic Integers

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Abstract

The paper presents liouville decompositions of polyadic integers.

References

12 Cites in Article

Reference Format

1. P Erd}os (1962). Representations of real numbers as sums and products of Liouville numbers. Michigan Math. J, 9, 59-60.
2. E Burger (1966). On Liouville decomposition in local fields. Proc.Amer.Math.Soc, 124(11), 3305-3310.
3. K Mahler (1980). p-adic numbers and their functions. p-adic numbers and their functions
4. Heinz Prüfer (1925). Neue Begründung der algebraischen Zahlentheorie. Mathematische Annalen, 94(1), 198-243.
5. Enrico Bombieri (1981). Remarks on the Analytic Complexity of Zeta Functions. Analytic Number Theory, 2, 21-30.
6. V Chirskii (1990). On global relations. Matem. Zametki (rus.), 48(2), 123-127.
7. V Chirskii (1994). On the series which are algebraically independent in all local fields. Vestnik Moskov. Univer, Ser, 1, 93-95.
8. Daniel Bertrand,Vladimir Chirskii,Johan Yebbou (2004). Effective estimates for global relations on Euler-type series. Annales de la Faculté des sciences de Toulouse : Mathématiques, 13(2), 241-260.
9. V Chirskii (2012). Arithmetic properties of certain polyadic series. Vestnik Moskov. Univer, Ser, 1, 52-54.
10. V Chirskii (2014). Arithmetic properties of polyadic series with periodic coefficients. Doklady Mathematics, 90(3), 766-768.
11. V Chirskii (2014). On the arithmetic properties of generalized hypergeometric series with irrational parameters. Izvestiya: Mathematics, 78(6), 1244-1260.
12. V Chirskii (2017). Arithmetic properties of polyadic series with periodic coefficients. Izvestiya: Mathematics, 81(2), 444-461.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

V. G. Chirskii. 2018. "On Liouville Decompositions of Polyadic Integers". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F1).

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GJSFR Volume 18 Issue F1

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 35B53

Submission ReceivedNovember 19, 2017
Peer Review Double Blind
Handling Editor
Accepted December 13, 2017
Published January 31, 2018

Version of record

v1.2

Issue date

January 31, 2018

Language

English

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Article Matrices

Total Score: 102

Country: Unknown

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: V. G. Chirskii, E.S. Krupitsin (PhD/Dr. count: 0)

View Count (all-time): 348

Total Views (Real + Logic): 938

Total Downloads (simulated): 59

Publish Date: 2017 12, Thu

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Total Views: 938

Total Downloads: 59

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