Applying Computer Algebra Systems to Study Chaundy-Bullard Identities for the Vector Partition Function with Weight : научное издание

Описание

Тип публикации: статья из журнала

Год издания: 2024

Идентификатор DOI: 10.1134/S0361768824020105

Аннотация: An algorithm for obtaining the Chaundy-Bullard identity for a vector partition function with weight that uses computer algebra methods is proposed. To automate this process in Maple, an algorithm was developed and implemented that calculates the values of the vector partition function with weight by finding non-negative solutions oПоказать полностьюf systems of linear Diophantine equations that are used to form the identities involved. The algorithm’s input data is represented by the set of integer vectors that form a pointed lattice cone and by some point from this cone, and the Chaundy-Bullard identity for the vector partition function with weight is its output. The code involved is stored in the depository and is ready-to-use. An example demonstrating the algorithm’s operation is given.

Ссылки на полный текст

Издание

Журнал: Programming and Computer Software

Номера страниц: 176-179

Персоны

Вхождение в базы данных