FUNCTION : ETA[ETAchanges] - changes to the ETA package CALLING SEQUENCE : ETAchanges() PARAMETERS : GLOBAL VARIABLES : SYNOPSIS : Gives changes to ETA package EXAMPLES : > with(ETA): > ETAchanges(); ************************************************************** * * * ETA package version 0.3b - Fri, Jun 12, 2020 12:04:51 PM * ETA package version 0.3a - Sat, Dec 14, 2019 9:39:25 PM * ETA package version 0.3 - Sat, Jun 29, 2019 8:19:25 PM * ETA package version 0.2 - Fri, Jun 21, 2019 1:04:35 PM * ETA package version 0.1 - Thu Jul 11 13:20:48 EDT 2013 * * Current version 0.3b tested on MAPLE 2020 * * Changes since version 0.3 * * * The functions provemodfuncGAMMA0UpETAid and * provemodfuncGAMMA0UpETAidBATCH can now handle a ln combo * of eta-products (instead of a single eta-product) when proving an * identity U[p](gcombo) = etacombo. * * * New functions etacombo2ETAPRODlist and etacombo2ETAPRODwCONSlist * converts etacombo to list (ARRAY) of eta-products * The function etacombo2ETAPRODwCONSlist also includes the * constants in the etacombo. * * * Fixed minor typo in ETApversion * * Added var i to local in vetainf * * Changes since version 0.2 * * * New function qetacombo * computes q-expansion of lin combo of eta-products * * * New function provemodfuncGAMMA0idBATCH * BATCH version of provemodfuncGAMMA0id * * * Fixed some minor typos in mintotGAMMA0ORDS * * Fixed minor bug in provemodfuncGAMMA0id * * Fixed minor typo in printETAIDORDStable * * * Minor changes to cuspord and CUSPORD * cuspord now has 2 args not 3. * USEAGE: cuspord(etaprod,cusp) * * * Fixed MAJOR BUG in UpLB * Should use cuspord NOT cuspORD * * * Fixed MAJOR BUGS in provemodfuncGAMMA0UpETAid * * * New function provemodfuncGAMMA0UpETAidBATCH * * Changes since version 0.1 * * * UpLB now accepts nargs = 0 * * * LIST of new functions: * ETAchanges * ETApversion * provemodfuncGAMMA0UpETAid * * * The function provemodfuncGAMMA0UpETAid PROVES the id U[p](EP) = etacombo where EP is an eta-product on Gamma[0](N*p), p is prime, etacombo is a linear combination of eta-products on Gamma[0](N) where p divides N. USAGE: provemodfuncGAMMA0UpETAid() provemodfuncGAMMA0UpETAid(EP,p,etacombo,N) * * ************************************************************** DISCUSSION : SEE ALSO :