A Bijective Proof of a False Theta Function Identity from Ramanujan’s Lost Notebook-Reference-Cited by-同舟云学术

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A Bijective Proof of a False Theta Function Identity from Ramanujan’s Lost Notebook

Published:2019-11 Issue:3-4 Volume:23 Page:579-588
ISSN:0218-0006
Container-title:Annals of Combinatorics
language:en
Short-container-title:Ann. Comb.

Author:

Burson Hannah E.

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics

Link

http://link.springer.com/content/pdf/10.1007/s00026-019-00454-7.pdf

Reference17 articles.

1. Alladi, K.: A partial theta identity of Ramanujan and its number-theoretic interpretation. Ramanujan J. 20(3), 329–339 (2009). https://doi.org/10.1007/s11139-009-9177-x

2. Alladi, K.: A combinatorial study and comparison of partial theta identities of Andrews and Ramanujan. Ramanujan J. 23(1-3), 227–241 (2010). https://doi.org/10.1007/s11139-009-9188-7

3. Andrews, G.E.: Partitions: Yesterday and Today. New Zealand Mathematical Society, Wellington, New Zealand (1979)

4. Andrews, G.E.: Ramanujan’s “lost” notebook. I. Partial $$\theta $$-functions. Adv. Math. 41(2), 137–172 (1981). https://doi.org/10.1016/0001-8708(81)90013-X

5. Andrews, G.E., Berndt, B.C.: Ramanujan’s Lost Notebook, Part I. , Springer, New York pp 229–331 (2005)

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1. Combinatorics of two second-order mock theta functions;International Journal of Number Theory;2020-11-12

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