Define A: N R by A(n)-log p. if n is a power of a prime p....

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Define A: N→ R by A(n)-log p. if n is a power of a prime p. A(n)-0 otherwise. For *(x) = A(n) show M(x) = -("(*)/C(a). Gauss proposed the approximation Lix) - T 1 dt. logt of (a). Show Li(x) - log Hint: an upper estimate for Li may e.g. be obtained by partial integration of Define A: N→ R by A(n)-log p. if n is a power of a prime p. A(n)-0 otherwise. For *(x) = A(n) show M(x) = -("(*)/C(a). Gauss proposed the approximation Lix) - T 1 dt. logt of (a). Show Li(x) - log Hint: an upper estimate for Li may e.g. be obtained by partial integration of

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Part a To prove that Lix Ann we can use the following steps Show that Lix is monotonically increasin... View the full answer