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Pro-unipotent harmonic actions and a com...

Jarossay, David...

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Pro-unipotent harmonic actions and a computation of $p$-adic cyclotomic multiple zeta values by Jarossay, David ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	07-09-2023
Summary	This paper gives foundations of a theory of $p$-adic cyclotomic multiple zeta values by explicit formulas, and a new notion called pro-unipotent harmonic actions. We prove formulas which express $p$-adic cyclotomic multiple zeta values in terms of certain cyclotomic multiple harmonic sums and vice-versa ; these formulas keep track of the motivic Galois action via the pro-unipotent harmonic actions. The proof uses the main result of \cite{I-1}. One of the formulas proves a conjecture of Akagi, Hirose and Yasuda which sheds light on the finite multiple zeta values of Kaneko and Zagier.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1501.04893

Citation

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AMA 11th EditionReferences

Jarossay, David. Pro-unipotent harmonic actions and a computation of $p$-adic cyclotomic multiple zeta values. Australian National University. September 07, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/24262

APA 7th EditionReferences

Jarossay, David. (2023). Pro-unipotent harmonic actions and a computation of $p$-adic cyclotomic multiple zeta values. Australian National University. https://online.provdatabase.com/cite/24262

Chicago 17th EditionReferences

Jarossay, David. Pro-unipotent harmonic actions and a computation of $p$-adic cyclotomic multiple zeta values. Australian National University. 2023. https://online.provdatabase.com/cite/24262

HarvardReferences

Jarossay, David. (2023). Pro-unipotent harmonic actions and a computation of $p$-adic cyclotomic multiple zeta values. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24262. (Accessed 20 September 2024).

Harvard AustraliaReferences

Jarossay, David, 2023, Pro-unipotent harmonic actions and a computation of $p$-adic cyclotomic multiple zeta values, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/24262>

MLA 9th EditionWorks Cited

Jarossay, David. Pro-unipotent harmonic actions and a computation of $p$-adic cyclotomic multiple zeta values. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24262.

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