Some recently written functions whose documentation needs to be proofread (see src/functions/ subdirectories) - check short documentation (?fun) for clarity / correction / brevity - check detailed description (??fun) for clarity / correction / completeness and missing / confusing / non-working examples. - also check the function [online translation](http://pari.math.u-bordeaux.fr/dochtml/html/) for conversion glitches. Add you name next to the function if you're checking it. Either leave your comments here or (preferred) edit the documentation in src/functions/*/fun and send a patch # Reference cards - refcard - refcard-ell - refcard-lfun - refcard-mf - refcard-nf # New functions - asympnumraw (Marine) - bnfunits (Marine) - bnrclassfield (Marine) - ellpadiclambdamu - eulerfrac (Marine) - eulerianpol (Marine) - eulerpol (Marine) - eulervec (Marine) - fft (Marine) - fftinv (Marine) - lfunshift (FB: In ?lfunshift, should be "shift of L by d". In ??lfunshift, %3 should be -0.5. Maybe explain the meaning of %2,%5,%6.) [DONE, KB] - matreduce (Marine) - mfisetaquo (FB: in the last example, mfisetaquo doesn't behave as the doc indicates) [DONE, KB] - mscosets - msfarey (FB: in the first def of G1(N), after my(), missing semi-colon) [DONE, KB] - nfsubfields (not new but modified interface) (JK, ok) - nfsubfieldscm (JK, ok) - nfsubfieldsmax (JK, ok) - parplothexport - rootsof1 (CH ok but need to change syntax "the $w$-th cyclotomic polynomial: the algorithm " "the $w$-th cyclotomic polynomial. The algorithm ". Aurel: I think you checked number_fields/nfrootsof1 instead of transcendental/rootsof1; I made the change.) ## OLDER FUNCTIONS (not proofread in 2019) # Modular Forms - mfTheta (Razvan ok) (Samuele: the level (4*conductor^2) should be added to make the normalization clear) - mfatkin (Samuele: documentation accessed with ?? is OK, documentation accessed with ?: maybe change Q(F) to QQ(F) or remove it) - mfatkineigenvalues (Samuele: chi is the character of mf, it should be specified) - mfatkininit (Razvan typo CM vs MC) - mfbasis (Samuele: CHI should be chi) - mfbd (Baptiste OK, maybe change the name for a more explicit one) - mfbracket (Samuele OK) - mfcoef (Baptiste, OK) (Samuele: documentation accessed with ? should be generalized modular form, documentation accessed with ?? should include a(n)) - mfcoefs (Baptiste, OK) - mfconductor (Samuele: the code works not only for cuspoforms (Karim checked), so maybe mfconductor(mf,F): mf being output by mfinit and F a generalized modular form, gives the less common multiple of the levels of newforms in the decomposition of F.) - mfcosets - mfcuspisregular - mfcusps - mfcuspval - mfcuspwidth - mfderiv - mfderivE2 - mfdescribe - mfdim - mfdiv - mfeigenbasis - mfeigensearch - mfeisenstein - mfembed - mfeval - mffields - mffromell - mffrometaquo - mffromlfun - mffromqf - mfgaloistype - mfgaloisprojrep - mfhecke - mfheckemat - mfinit (Razvan feature request : input a congruence group i.e. mfinit(Gamma0(N),k) ) - mfisCM (Razvan ok) - mfisequal - mfkohnenbasis - mfkohnenbijection - mfkohneneigenbasis - mflinear - mfmanin - mfmul - mfnumcusps - mfparams - mfperiodpol - mfperiodpolbasis - mfpetersson - mfpow - mfsearch - mfshift - mfshimura - mfslashexpansion - mfspace - mfsplit - mfsturm (Baptiste, done) - mfsymbol - mfsymboleval - mftaylor - mftobasis - mftocoset - mftonew - mftraceform - mftwist # L-functions - lfunartin - lfuncost - lfunthetacost - lfungenus2 - lfuntwist - hyperellpadicfrobenius - hyperellcharpoly # Elliptic curves / Hyperelliptic curves - ellbsd - ellminimaldisc (Valentin) - ellpadicbsd - ellratpoints (Valentin) - elltamagawa (Valentin) - ellweilcurve - hyperellratpoints (AM,OK) # Modular symbols - msatkinlehner - mscuspidal - mseisenstein - mseval - msfromcusp - msfromell - msfromhecke - msgetlevel - msgetsign - msgetweight - mshecke - msissymbol - mslattice - msnew - mspathgens - mspathlog - mspetersson - mspolygon - msqexpansion - mssplit - msstar # Miscellaneous - export - exportall - getlocalprec - getlocalbitprec - localprec - localbitprec - unexport - unexportall