Paul,
> I don't know what follows but I wonder about the necessity of your
> first definition. Are you going to be looking at (1/2)*g(n)*(g(n) - 1)
> where g is some function _other_ than a "count the divisors" function?
> If not, skip the c_t definition.
If g represents arbitrary N--->N, then yes, I will need it.
>
>> I suppose that means I have to redefine, similarly, all my terms that
>> depend
>> upon t....?
>
> Since I don't know what's coming, I can't comment.
>
Well, I've got, for example, N(x,y), which is the sum of t(n) -- or,
later,
t_J(n) -- in a given interval [x,y]; and indeed about 4 others that are
sum_t(n) in such-and-such a set for values of such-and-such n in [x,y],
and
so on. That's what has worried me all along.
Cheers.


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