바로가기메뉴

본문 바로가기 주메뉴 바로가기
 
 

logo

  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

논문 상세

이전 다음
논문 투고

Vol.28 No.4

PDF Citation Share

EVALUATIONS OF THE ROGERS-RAMANUJAN CONTINUED FRACTION BY THETA-FUNCTION IDENTITIES

EVALUATIONS OF THE ROGERS-RAMANUJAN CONTINUED FRACTION BY THETA-FUNCTION IDENTITIES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2021, v.28 no.4, pp.377-386
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.377
Paek, Dae Hyun (Department of Mathematics Education, Busan National University of Education)
Paek, Dae Hyun. (2021). EVALUATIONS OF THE ROGERS-RAMANUJAN CONTINUED FRACTION BY THETA-FUNCTION IDENTITIES, 28(4), 377-386, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.377

Abstract

In this paper, we use theta-function identities involving parameters 𝑙5,n, 𝑙'5,n, and 𝑙'5,4n to evaluate the Rogers-Ramanujan continued fractions $R(e^{-2{\pi}{\sqrt{n/20}}})$ and $S(e^{-{\pi}{\sqrt{n/5}}})$ for some positive rational numbers n.

keywords
theta-function, modular equation, theta-function identity, Rogers-Ramanujan continued fraction

한국수학교육학회지시리즈B:순수및응용수학

논문 투고 OA 정책