q-Orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions

By George E. Andrews. 2012

60 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/564f9120bfaa147816d70080d8d6e90edc8b8859

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Dean R. Hickerson
2. Eric T. Mortenson
3. Zhi-Wei Sun
4. Victor J. W. Guo
5. Dermot McCarthy
6. Zhi-Hong Sun
7. Ling Long
8. Holly Swisher

In Applied Mathematics

1. Dean R. Hickerson
2. Eric T. Mortenson

In Discrete Mathematics and Combinatorics

1. Dean R. Hickerson
2. Eric T. Mortenson
3. Zhi-Wei Sun
4. Victor J. W. Guo
5. Holly Swisher
6. Ling Long
7. Zhi-Hong Sun
8. Dermot McCarthy

Citations in the corpus

• On the dual nature of partial theta functions and Appell-Lerch sums (2012, background): “rm. How effective is the heuristic in predicting the partial theta functions and Appell–Lerch sums when there are multiple non-mixed terms? This brings us to two recent mock theta functions of Andrews [5]: Example 1.2. We recall from the Lost Notebook two partial theta functions identities (Entry 6.5”
• Hecke‐type double sums, Appell–Lerch sums, and mock theta functions, I (2012, methodology): “G. E. Andrews, ‘Mordell integrals and Ramanujan’s ‘lost’ notebook’, pp. 10–48, Analytic number theory, Philadelphia (1980), Lecture Notes in Mathematics 889 (Springer, Berlin, 1981).”