@inproceedings{chen2026ISSACa,
author = {Chen, Shaoshi and Du, Lixin and Fang, Hanqian and Wang, Yisen},
title = {On the Summability Problem of Multivariate Rational Functions in the Mixed Case},
year = {2026},
isbn = {9798400725951},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
url = {https://doi.org/10.1145/3815436.3815462},
doi = {10.1145/3815436.3815462},
abstract = {Continuing previous work, this paper focuses on the summability problem of multivariate rational functions in the mixed case in which both shift and q-shift operators can appear. Our summability criteria rely on three ingredients including orbital decompositions, Sato’s isotropy groups, and difference transformations. This work settles the rational case of the long-term project aimed at developing algorithms for symbolic summation of multivariate functions.},
booktitle = {Proceedings of the 2026 International Symposium on Symbolic and Algebraic Computation},
pages = {96–104},
numpages = {9},
keywords = {Difference isomorphism, isotropy group, orbital decomposition, summability problem},
location = {
},
series = {ISSAC '26}
}