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gensumnum-inf-intosum

gensumnum:1;

intosum((1/(2*k)^s + ...

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gensumnum-inf-intosum

gensumnum:1;

intosum((1/(2*k)^s + ...

Calculate

gensumnum-inf-simpsum

gensumnum:1;

sum(sum(1/(2*k^s) + 1...

Calculate

gensumnum-inf-intosum

gensumnum:1;

s:2;

intosum(sum(1/((2*k)^...

Calculate

gensumnum-inf-simpsum

gensumnum:1;

sum((1/(2*k^s) + 1/(2...

Calculate

gensumnum-inf-intosum

gensumnum:1;

intosum(sum(sum(1/((2...

Calculate

gensumnum-inf-intosum

gensumnum:1;

intosum((1/(2*k)^s + ...

Calculate

gensumnum-inf-intosum

gensumnum:0;

intosum(sum(sum(1/((2...

Calculate

gensumnum-inf-intosum

gensumnum:1;

intosum((1/(2*k)^s + ...

Calculate

gensumnum-inf-intosum

gensumnum:1;

intosum((1/(2*k)^s + ...

Calculate

gensumnum

Run Example
(%i1)cauchysum:true;
(%o1)                                true
(%i2) psexpand:multi;
(%o2)                                multi
(%i3) sumexpand:false;
(%o3)                                false
(%i4) gensumnum:0;
(%o4)                                  0
(%i5) intosum(sumcontract(sum(sum(1/((2*k)^s), k, 1, inf) + sum(1/((2*k+1)^s), k, 0, inf), s, 2,2))), simpsum;
                          inf
                          ====                      2
                          \           1          %pi
(%o5)                      >    -------------- + ----
                          /        2              24
                          ====  4 k  + 4 k + 1
                          k = 0
(%i6) 
Run Example
gensumnum:1;
(%o1)                                  1
(%i2) intosum((1/(2*k)^s + (1/(2*k+1)^s), k, 0, inf));
(%o2)                                 inf
(%i3) 
Run Example
cauchysum:true;
(%o1)                                true
(%i2) psexpand:false;
(%o2)                                false
(%i3) simpproduct:true;
(%o3)                                true
(%i4) sumexpand:false;
(%o4)                                false
(%i5) gensumnum:1;
(%o5)                                  1
(%i6) sumcontract(intosum(sum(sum(1/((2*k)^s), k, 1, inf) + sum(1/((2*k+1)^s), k, 0, inf), s, 2,2))), simpsum;
                          inf
                          ====                      2
                          \           1          %pi
(%o6)                      >    -------------- + ----
                          /        2              24
                          ====  4 k  + 4 k + 1
                          k = 0
(%i7) 

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