• 호남수학학술지
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• 제39권3호
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• pp.379-399
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• 2017

The objective of this research article is to establish two relationships between q-product identities, theta function identities and combinatorial partition identities, using elementary results.

• 호남수학학술지
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• 제39권2호
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• pp.267-273
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• 2017

The objective of this note is to establish three results between q-products and combinatorial partition identities in a elementary way. Several closely related q-product identities such as (for example)continued fraction identities and Jacobis triple product identities are also considered.

• East Asian mathematical journal
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• 제32권5호
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• pp.609-619
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• 2016

Folsom [10] investigated character formulas and Chaudhary [7] expressed those formulas in terms of continued fraction identities. Andrews et al. [2] introduced and investigated combinatorial partition identities. By using and combining known formulas, we aim to present certain interrelationships among character formulas, combinatorial partition identities and continued partition identities.

• 한국도서관정보학회지
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• 제46권4호
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• pp.451-470
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• 2015

이 연구의 목적은 OCLC WorldCat의 실험적 지원도구인 WorldCat Identities Network를 검토하고, 그 안에 수록된 한국 관련 개인 아이덴티티의 문제점에 대한 개선방안을 제안하는 것이다. WorldCat Identities Network에 포함된 영어 및 한국어로 표기된 개인 아이덴티티 10개와 주제 아이덴티티 10개를 사례로 선택하여 관련 아이덴티티 및 관련 저작의 WorldCat 검색 결과를 분석하였다. WorldCat 검색 시 디폴트 검색식 구성의 문제점 및 검색 대상 아이덴티티의 이름과 연관된 연도 혹은 완전명 포함에 따른 검색 오류의 문제점을 확인하였다.

• 한국수학교육학회지시리즈A:수학교육
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• 제46권4호
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• pp.389-406
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• 2007

The purpose of this study is to understand the learning mathematics in elementary mathematics classroom by considering mathematics as a kind of social practices and mathematics classroom as a kind of community of practice. The research questions of this study are as followings: 1) Do the identities which teacher has on mathematics and teaching mathematics, influence the social practices formed in mathematics classroom, and the identities which students has on mathematics and learning mathematics? 2) Do the social practices formed in mathematics classroom, and the identities which students has on mathematics and learning mathematics, influence the identities which teacher has on mathematics and teaching mathematics? This study was based on ethnomethodology. It was executed participation observations, interviews and surveys with teacher and 5 graders to collect the data for the social practices formed their classroom and their identities, and was analyzed the interaction between the social practices of mathematics classroom and teacher and students' identities. We found the scenes that teacher's identities influenced the social practices of mathematics classroom and students' identities, and also the scenes that the social practices of mathematics classroom and students' identities influenced teacher's identities. So, we could know that there existed the interaction between the social practices of mathematics classroom and teacher and students' identities.

• East Asian mathematical journal
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• 제31권5호
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• pp.659-665
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• 2015

Combining and specializing some known results, we establish six identities which depict six modular relations for the Roger-Ramanujan type identities and two equivalent representations for Jacobian identity expressed in terms of combinatorial partition identities and Ramanujan-Selberg continued fraction. Two q-product identities are also considered.

• 호남수학학술지
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• 제38권4호
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• pp.809-818
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• 2016

Chaudhary and Choi [7] presented 14 identities which reveal certain interesting interrelations among character formulas, combinatorial partition identities and continued partition identities. In this sequel, we aim to give slightly modified versions for 8 identities which are chosen among the above-mentioned 14 formulas.

• 충청수학회지
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• 제20권2호
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• pp.97-107
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• 2007

Ramanujan gave six identities involving ${\theta}$-function expansion. We extended these identities by introducing a free parameter. We also give the interpretation of one of the identities using theory of partitions.

• 호남수학학술지
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• 제43권2호
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• pp.221-237
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• 2021

B. C. Berndt has found modular transformation formulae for a large class of functions coming from generalized Eisenstein series. Using those formulae, he established a lot of infinite series identities, some of which explain many infinite series identities given by Ramanujan. Continuing his work, the author proved a lot of new infinite series identities. Moreover, recently the author found transformation formulae for a class of functions coming from generalized non-holomorphic Eisenstein series. In this paper, using those formulae, we evaluate a few new infinite series identities which generalize the author's previous results.

• 호남수학학술지
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• 제38권2호
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• pp.367-373
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• 2016

Adiga and Anitha [1] investigated the Ramanujan's continued fraction (18) to present many interesting identities. Motivated by this work, by using known formulas, we also investigate the Ramanujan's continued fraction (18) to give certain relationships between the Ramanujan's continued fraction and the combinatorial partition identities given by Andrews et al. [3].