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Articles

The Fundamental Theorem of Arithmetic and q-series

, &
Pages 187-193 | Received 15 Dec 2021, Accepted 18 Dec 2022, Published online: 14 Mar 2024
 

Abstract

We connect the fundamental theorem of arithmetic to the Euler-Nichole identity and discuss various useful q-identities.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Heng Huat Chan

Heng Huat Chan (MR Author ID: 365568; ORCID: 0000-0002-9215-0895) Heng Huat Chan earned his Ph.D at the University of Illinois at Urbana-Champaign under the direction of Bruce C. Berndt and spent nine months at the Institute for Advanced Study at Princeton immediately after graduation in 1995. He then taught for a year at National Chung Cheng University before taking up a job at National University of Singapore.

Kuo-Jye Chen

Kuo-Jye Chen (MR Author ID: 352175; ORCID: 0000-0002-7500-6488) received his Ph.D in mathematics from the Pennsylvania State University under the direction of George E. Andrews, after which he started working at National Changhua University of Education.

Warren P. Johnson

Warren P. Johnson (MR Author ID: 612409; ORCID: 0000-0001-7015-5241) received his Ph.D from the University of Wisconsin under the direction of Richard Askey. He is grateful to his coauthors for inviting him to join this project and providing a better repository for the sources of the Euler-Nicole identity than the exercises of his book An Introduction to q-analysis. He is a professor of mathematics at Connecticut College and Deputy Editor of Mathematics Magazine.

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