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Cauchy-Carlitz numbers

Kaneko, Hajime...

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Cauchy-Carlitz numbers by Kaneko, Hajime ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	08-05-2015
Summary	In 1935 Carlitz introduced Bernoulli-Carlitz numbers as analogues of Bernoulli numbers for the rational function field $\mathbb F_r(T)$. In this paper, we introduce Cauchy-Carlitz numbers as analogues of Cauchy numbers. By using Stirling-Carlitz numbers, we give their arithmetical and combinatorial properties and relations with Bernoulli-Carlitz numbers for $\mathbb F_r(T)$. Several new identities are also obtained by using Hasse-Teichim\"uller derivatives.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/1508.01858

Citation

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AMA 11th EditionReferences

Kaneko, Hajime. Cauchy-Carlitz numbers. N.A. May 08, 2015. Accessed August 16, 2025. https://online.provdatabase.com/cite/11271

APA 7th EditionReferences

Kaneko, Hajime. (2015). Cauchy-Carlitz numbers. N.A. https://online.provdatabase.com/cite/11271

Chicago 17th EditionReferences

Kaneko, Hajime. Cauchy-Carlitz numbers. N.A. 2015. https://online.provdatabase.com/cite/11271

HarvardReferences

Kaneko, Hajime. (2015). Cauchy-Carlitz numbers. [Online]. N.A. Available from: https://online.provdatabase.com/cite/11271. (Accessed 16 August 2025).

Harvard AustraliaReferences

Kaneko, Hajime, 2015, Cauchy-Carlitz numbers, N.A, viewed 16 August 2025, <https://online.provdatabase.com/cite/11271>

MLA 9th EditionWorks Cited

Kaneko, Hajime. Cauchy-Carlitz numbers. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/11271.

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