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On Evaluations of the Cubic Continued Fraction by Modular Equations of Degree 3 Revisited

안지원|백대현|이강훈|이진희
한국수학교육학회|2024.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제31권 제2호|pp. 189-200|DOI 10.7468/jksmeb.2024.31.2.189

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참고문헌

키워드

continued fractionsmodular equationstheta-function identities.
주제분류수학

초록

We derive modular equations of degree 3 to find corresponding thetafunction identities. We use them to find some new evaluations of G(e^-π√n ) and G(e^-π√n ) for n= {25} over {3 BULLET 4 ^{m-1}} and {4^1-m} over {3 BULLET 25}, where m = 0, 1, 2.

Abstract

We derive modular equations of degree 3 to find corresponding thetafunction identities. We use them to find some new evaluations of G(e^-π√n ) and G(e^-π√n ) for n= {25} over {3 BULLET 4 ^{m-1}} and {4^1-m} over {3 BULLET 25}, where m = 0, 1, 2.

참고문헌 (16)

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관련 논문AI추천

ON EVALUATIONS OF THE CUBIC CONTINUED FRACTION BY MODULAR EQUATIONS OF DEGREE 3Dae Hyun Paek, Jinhee Yi, Yong Jin Shin한국수학교육학회 · 이론수학과 교직수학2018 · 제25권 제1호On evaluations of the cubic continued fraction by modular equations of degree 9Dae Hyun Paek, Jinhee Yi한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제3호Evaluations of the cubic continued fraction by some theta function identities: Revisited백대현한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제1호Evaluations of the cubic continued fraction by some theta function identities백대현, 이진희강원경기수학회 · 한국수학논문집2019 · 제27권 제4호On some modular equations and their applications II백대현, 이진희대한수학회 · 대한수학회보2013 · 제50권 제4호On Some Modular Equations and Their Applications I김정환, 백대현, 유재명, 이성희, 이진희, 조만기대한수학회 · 대한수학회보2013 · 제50권 제3호

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