2020-08-24 17:11:06 -0600 | received badge | ● Famous Question (source) |

2018-04-15 19:25:00 -0600 | received badge | ● Notable Question (source) |

2016-08-05 22:52:28 -0600 | received badge | ● Popular Question (source) |

2014-09-19 19:17:27 -0600 | received badge | ● Scholar (source) |

2014-09-19 18:52:37 -0600 | asked a question | Trouble verifying modularity properties Hey all, I'm having a bit of trouble doing some numerical things with modular forms, and I simply can't figure out where I'm going wrong. The $j$ function should satisfy $j(\gamma \tau) = j(\tau)$ for every $\tau$ in the upper half plane and every $\gamma\in SL_2(\mathbb{Z})$. I wrote some code to numerically compute some values of the $j$ function (there may be a better way to do it for the $j$ function, but I hope to eventually migrate this code to work for other modular forms which I define). Here it is below. Now when I run the following code: the values $j(\tau)$ and $j(\gamma\tau)$ are not equal! I would appreciate any help. |

2014-07-10 18:08:05 -0600 | commented answer | Trouble running Sage in terminal Yes, I tried to do this but when I click there nothing happens. I think I might not have enough reputation to upvote. |

2014-07-10 16:33:59 -0600 | commented answer | Trouble running Sage in terminal It turned out to be the first file you mentioned. I uninstalled Enthought and everything works great now. Thanks so much. I would like to upvote your answer but am not sure how to. |

2014-07-10 16:24:45 -0600 | commented answer | Trouble running Sage in terminal Thank you very much for your help. With regards to the second file, I'm looking at the directory in Finder (I'm on a Mac) and I cannot see a file named vector_real_double_dense.pyx. Very strange! With regards to the first file, I think I had downloaded something like Enthought for a class once. I'll try to go and get that off my machine. |

2014-07-10 15:57:58 -0600 | received badge | ● Editor (source) |

2014-07-10 15:53:38 -0600 | asked a question | Trouble running Sage in terminal Hi all, So I start up Sage using the command: '/Applications/Sage-6.2.app/Contents/Resources/sage'/sage I'm trying to load this file: Unfortunately I get a very large error when I run the following command: attach("mod.sage") However when I comment out the line p = m.basis(), the error goes away. I'm attaching the text from the error message below. Any ideas on how to fix this would be greatly appreciated. Sorry for the sloppy formatting! (more) |

2014-07-07 00:49:14 -0600 | asked a question | Modular forms in Sage Hi all, I'm new to Sage and have a question about how to implement and manipulate modular forms in the language. I only need to do some simple things. $1$) Can I define my own custom q-expansion? For instance, how would I store $$f(q) = 1 + 2q^2 + 2q^3 + O(q^4)$$ in the same way that modular forms are stored in Sage? 2) Is there any program written to take the Rankin-Cohen bracket of two modular forms? If not, is it possible to write a program in Sage that implements complex differentiation of these modular forms? Thanks for your help. I've tried consulting the documentation, but just when I think I've read all of it, new stuff pops up (unfortunately, none of it relevant to what I'm trying to do). |

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.