Skip to content## RaduRK

### RaduRK: Ramanujan-Kolberg Program

### Authors

RaduRK is a Mathematica implementation of Cristian-Silviu Radu's algorithm designed to compute Ramanujan-Kolberg identities. These are identities between the generating functions of certain classes of arithmetic sequences a(n), restricted to an arithmetic progression, and linear Q-combinations of eta quotients. These identities often reveal important arithmetic information about a(n). Radu's algorithm is a superb example of the utility of modular functions to computational number theory. The package has been developed by Nicolas Allen Smoot.### Licence

This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see https://www.gnu.org/licenses.### The package

For using the package, download the following file and put it into a directory where Mathematica will find it. For a demonstration of how to use the package see For a demonstration of the applications of the package to overpartitions, see:- OverpartitionExamples.nb.

For a demonstration of the applications of the package to overpartitions, see: OverpartitionExamples.nb. The package requires the following packages: 4ti2, math4ti2.m. See literature below for installation instructions.### Literature

Instructions for the proper installation for these packages and RaduRK can be found in the following paper: For details concerning the design of the algorithm, consult the following:- S. Radu, "An Algorithmic Approach to Ramanujan's Congruences," Ramanujan Journal, 20, pp. 215-251 (2009).
- S. Radu, "An Algorithmic Approach to Ramanujan-Kolberg Identities," Journal of Symbolic Computation, 68, pp. 225-253 (2015).

### Bugs

Please report any bugs or other suggestions to Nicolas Smoot. Wir verwenden Cookies auf unserer Website. Durch Klicken auf OK oder Scrollen stimmen Sie der Verwendung von Cookies zu. Weitere Informationen finden Sie im ImpressumOk