@janhardo Euler product formula can be written in Maple this way:

but note that Maple cannot use ithprime symbolically.

@Jesús Guillera You have to be careful because e.g.  1 + 4 + 4^2 + ...  = -1/3.
Also, F(z) converges only for |z| < 1 and for some points with |z|=1.

@NIMA112  y[2] still present! Check with indets

lprint(indets(zz, name));

# {Delta, Q__01, Q__02, T__1, T__2, a, alpha, b, beta, lambda, v, x, x__01, x__02, y, y__01, y__02, y[2]}

@NIMA112 Of course it does not work because you also have y[2].

@sand15 Yes, but try to compare the timings for e.g.

d := rand(10^20 .. 10^30)():
n := d^rand(100 .. 1000)()*rand(10^10..10^20)():

@nm Try  n:=90; d:=3;

@dharr Just a remark. The eigenvalues are not correctly sorted; the option key=evalf should be added.

@mehdi jafari 
 

@acer However,

restart;
local a; 	
a := 17:
:-a := 18:
p := proc()
  local a;
  a := 25;
  return parse("a",statement);
end proc:

p();  #17

@mmcdara Sorry, probably I have seen an older version of your answer, or maybe I was not careful enough.

@mmcdara You have ommited useassumptions. So, solve has another task: a single inequality instead of a system.

@Axel Vogt Just replace 10.0 by 10

@sursumCorda 
I used Maple 2018 on an old Windows tablet  and I obtain 
limit(1/f, x=infinity) = 0.

@petit loup   "#" starts a comment, so actually method='integer'  is not needed when the matrix has integer entries.
For our matrix A,
S,U,V := SmithForm(A, output=['S,U,V'], method='integer');
and
S,U,V := SmithForm(A, output=['S,U,V']);
give the same result.
 

@mmcdara Actually, when limit returns an interval a..b, this means that the limit does not exist; mathematically this is equivalent to the undefined result, but Maple also says that the limit points (aka accumulation points) are contained in the interval a..b.

Note that e.g. 

limit(3*sin(1/x)-4*cos(1/x), x=0);
    -7 .. 7

but actually the set of accumulation points is the interval -5 .. 5, which Maple cannot find.

It would be nice to have in Maple the comands  sup, inf, limsup, liminf for functions and sequences, just like in Mathematica!