@inproceedings{chen2021ISSACa, author = {Chen, Shaoshi and Du, Lixin and Kauers, Manuel}, title = {Lazy Hermite Reduction and Creative Telescoping for Algebraic Functions}, year = {2021}, isbn = {9781450383820}, publisher = {Association for Computing Machinery}, address = {New York, NY, USA}, url = {https://doi.org/10.1145/3452143.3465528}, doi = {10.1145/3452143.3465528}, abstract = {Bronstein's lazy Hermite reduction is a symbolic integration technique that reduces algebraic functions to integrands with only simple poles without the prior computation of an integral basis. We sharpen the lazy Hermite reduction by combining it with the polynomial reduction to solve the decomposition problem of algebraic functions. The sharpened reduction is then used to design a reduction-based telescoping algorithm for algebraic functions in two variables.}, booktitle = {Proceedings of the 2021 on International Symposium on Symbolic and Algebraic Computation}, pages = {75¨C82}, numpages = {8}, keywords = {integral bases, symbolic integration, polynomial reduction}, location = {Virtual Event, Russian Federation}, series = {ISSAC '21} }