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I'm looking for a book on Algebraic Number Theory, which is somewhat in Analytic spirit. In particular, I want to see the precise connection between

$$\delta_{f}(p)=\{a\pmod p : f(a) \equiv 0 \pmod{p}\}$$ and the L-series

$$\zeta_{K}(s)=\prod_{p: \mbox{prime ideal}}\left(\frac{1}{1-\frac{1}{Np}}\right)$$

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Please, try to make the title of your question more informative. E.g., Why does $a<b$ imply $a+c<b+c$? is much more useful for other users than A question about inequality. From How can I ask a good question?: Make your title as descriptive as possible. In many cases one can actually phrase the title as the question, at least in such a way so as to be comprehensible to an expert reader. – Julian Kuelshammer Jan 31 '13 at 14:18
Check out this math.overflow question and its answers! – amWhy Jan 31 '13 at 15:06

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