Congruences related to the Ramanujan/Watson mock theta functions $$\omega (q)$$ ω ( q ) and $$\nu (q)$$ ν ( q )

George E. Andrews1, Donny Passary1, James A. Sellers1, Ae Ja Yee1
1Department of Mathematics, The Pennsylvania State University, University Park, USA

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Tài liệu tham khảo

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

Berndt, B.C.: Ramanujan’s Notebooks, Part III. Springer, New York (1991)

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Garthwaite, S.A., Penniston, D.: $$p$$ p -Adic properties of Maass forms arising from theta series. Math. Res. Lett. 15, 459–470 (2008)

Waldherr, M.: On certain explicit congruences for mock theta functions. Proc. Am. Math. Soc. 139, 865–879 (2011)

Watson, G.N.: The final problem: an account of the mock theta functions. J. Lond. Math. Soc. 11, 55–80 (1936)