An identity relating a theta function to a sum of Lambert series

Bulletin of the London Mathematical Society

Volumn 33, Issue 1, 2001, Pages 25-31

  Andrews, George E ^a   Lewis, Richard ^b   Liu, Zhi Guo ^c  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF SUSSEX   (United Kingdom)

^c Xinxiang Education College   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035226459     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/blms/33.1.25     Document Type: Article

References (9)

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2. G. E. ANDREWS and R. P. LEWIS, 'An identity of F. H. Jackson and its implications for the theory of partitions', Preprint, Sussex University (1997).
3. W. N. BAILEY, 'A further note on two of Ramanujan's formulae', Quart. J. Math. Oxford (2) 3 (1952) 158-160.
4. B. C. BERNDT, Ramanujan's notebooks III (Springer, New York, 1991).
5. P. R. HAMMOND, R. P. LEWIS and Z-G. LIU, 'Hirschhorn's identities', Bull. Austral. Math. Soc. 60 (1999) 73-80.
6. R. P. LEWIS and Z. G. LIU, 'New proofs of some old results on sums of squares', Preprint, Sussex University (2000).
7. L. LORENZ, 'Contribution à la théories des nombres', Oeuvres scientifiques, Vol. II (ed. H. Valentiner, Librarie Lehmann & Stage, Copenhagen, 1904) 403-431.
8. H. RADEMACHER, Topics in analytic number theory, Grundlehren Math. Wiss. 169 (Springer, New York, 1973).
9. L. J. SLATER, Generalized hypergeometric functions (Cambridge University Press, 1966).