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초록· 키워드
오류제보하기
Let k be an imaginary quadratic field, ㆍ the complex upper
half plane, and let τ ∈ㆍ ∩ k, q = eπiτ . For n, t ∈ Z+ with 1 ≤ t ≤ n − 1,
set n = ㆍ·2l (ㆍ = 2, 3, 5, 7, 9, 13, 15) with l ≥ 0 integer. Then we show that
[수식](1 − qnm−t)(1 − qnm−(n−t)) are algebraic numbers
목차
등록된 정보가 없습니다.
참고문헌 (10)
참고문헌 신청
A. V. Sills / 2006 / On identities of the Rogers-Ramanujan type / Ramanujan Journal 11 (3) : 403 ~ 429
B. C. Berndt / 1989 / Ramanujan’s Notebooks. Part II / Springer-Verlag
B. C. Berndt / 1991 / Ramanujan’s Notebooks. Part III / Springer-Verlag
B. C. Berndt / 1994 / Ramanujan’s Notebooks. Part IV / Springer-Verlag
C. L. Siegel / 1949 / Transcendental Numbers, Annals of Mathematics Studies, no. 16 / Princeton University Press
B. C. Berndt / 1989 / Ramanujan’s Notebooks. Part II / Springer-Verlag
B. C. Berndt / 1991 / Ramanujan’s Notebooks. Part III / Springer-Verlag
B. C. Berndt / 1994 / Ramanujan’s Notebooks. Part IV / Springer-Verlag
C. L. Siegel / 1949 / Transcendental Numbers, Annals of Mathematics Studies, no. 16 / Princeton University Press
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