Hello. Here is Ce Bian's Homepage.
- Me:
- Email:ce.bian@hotmail.com
- Research Interests: ......,sudoku
Computing GL3 automorphic forms
- Paper:Computing GL(3) automorphic forms(pdf),
- Picture: the initial picture
- Code: compute F(x)(in gp) main proram(in C)
Refining those forms
- Thesis
- Code part1:computing z* (in gp)
- Code part2:computing K-Bessel function & priparation computing for Hurwitz-zeta function(in gp)
- Code part3:computing Hurwitz (using mpfi package)
- Code part4:the main program (in c)
- Note1: before step2 your numbers in "s.txt" should be exactly the number stored in the memery (you can use this).
- Note2:the result from step2 could not be read in C, so you need change the format " E" to "e" (remove the space)
Eigenvalues and first 20480 coefficients (format for gp)
- u=18.90241256575191+-1.0e-14, v=11.76124709931523+-1.0e-14; coeff:y=0.00019043 y=0.0002
- u=20.02167079836150+-1.0e-14, v=14.07070706693110+-1.0e-14; coeff:y=0.00019043 y=0.0002
- u=19.17991151171097+-1.0e-14, v=17.70226720097060+-1.0e-14; coeff:y=0.00019043 y=0.0002
- u=16.74536852374800+-1.0e-14, v=16.23200284856307+-1.0e-14; coeff:y=0.00019043 y=0.0002