- #26

HallsofIvy

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I haven't read that book (orSince I've started learning division, it is learnt that division by zero is undifined. But in the book"Introduction to Analytic Number Theory"byTom M. Apostol, I've found that[Theorem 1.1 (h)]. What does this statement mean?"Zero divides only zero"

**any**book on "Analytic Number Theory") but this might be relevant.

[tex]\frac{a}{0}[/tex], for a non-zero is not defined, in the real number system, because if we set a/0= b we get a= b(0)= 0 which is not true for any b. But [tex]\frac{0}{0}[/tex] which is also not defined is a separate situation- if we set 0/0= b we get 0= b(0)= 0 which is true for

**all**b. I rather suspect that this theorem is connected to that distinction.