New congruences modulo 5 for partition related to mock theta function $$\omega (q)$$-Reference-Cited by-同舟云学术

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New congruences modulo 5 for partition related to mock theta function $$\omega (q)$$

Published:2021-03 Issue:1 Volume:52 Page:141-148
ISSN:0019-5588
Container-title:Indian Journal of Pure and Applied Mathematics
language:en
Short-container-title:Indian J Pure Appl Math

Author:

Lin Bernard L. S.^ORCID,Xiao Jiejuan

Funder

Natural Science Foundation of Fujian Province of China

the National Natural Science Foundation of China

the Program for New Century Excellent Talents in Fujian Province University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s13226-021-00078-9.pdf

Reference16 articles.

1. G.E. Andrews and B.C. Berndt, Ramanujan’s Lost Notebook, Part I, Springer, New York, 2000.

2. G.E. Andrews, Partitions with short sequences and mock theta functions, Proc. Natl. Acad. Sci. USA, 102 (2005), 4666–4671.

3. G.E. Andrews, Partitions with initial repetitions, Acta Math. Sinica, English Series, 25(9) (2009), 1437–1442.

4. G.E. Andrews, A. Dixit, and A.J. Yee, Partitions associated with the Ramanujan/Watson mock theta functions $$\omega (q)$$, $$\nu (q)$$ and $$\phi (q)$$, Res. Number Theory, 1 (2015), Art. 19.

5. G.E. Andrews, D. Passary, J.A. Sellers and A.J. Yee, Congruences related to the Ramanujan/Watson mock theta functions $$\omega (q)$$ and $$\nu (q)$$, Ramanujan J., 43 (2017), 347–357.

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