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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.
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참고문헌 (10)
참고문헌 신청
C. Adiga / 2004 / On Ramanujan's cubic continued fraction and explicit evaluations of theta- fractions / Indian J. Pure Appl. Math
G. E. Andrews / 2015 / Double series representations for Schur's partition function and related identities / J. Combin. Theory Ser. A 132:102~119
N. D. Baruah / 2008 / Modular relations for the nonic analogues of the Rogers Ramanujan functions with applications to partitions / J. Number Theory 128:175~206
B. C. Berndt / 1991 / Ramanujan's Notebooks, Part III / Springer-Verlag
M. P. Chaudhary / 2012 / Generalization of Ramanujan's identities in terms of q-products and continued fractions / Global J. Sci. Frontier Res. Math. Decision Sci 12(2):53~60
G. E. Andrews / 2015 / Double series representations for Schur's partition function and related identities / J. Combin. Theory Ser. A 132:102~119
N. D. Baruah / 2008 / Modular relations for the nonic analogues of the Rogers Ramanujan functions with applications to partitions / J. Number Theory 128:175~206
B. C. Berndt / 1991 / Ramanujan's Notebooks, Part III / Springer-Verlag
M. P. Chaudhary / 2012 / Generalization of Ramanujan's identities in terms of q-products and continued fractions / Global J. Sci. Frontier Res. Math. Decision Sci 12(2):53~60
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