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rattanjot14
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Homework Statement
Let a and b be integers and m an integer >1 Evaluate
[b/m] + [(b+a)/m]+ [(b+2a)/m]+ [(b+3a)/m]+ [(b+4a)/m]+ [(b+5a)/m]+...+ [(b+(m-1)a)/m]
Homework Equations
The Attempt at a Solution
i tried to use hermite identity.
[x] + [x + 1/n] + [x + 2/n] +...+ [x + (n-1)/n] = [nx]
assuming x = b/m and 1/n = a/m.. but a/m is not an integer so i can't use it. I m stuck what to do?