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What do theta functions have to do with quadratic reciprocity?

Going in the direction of more generality: With $\theta(\tau)=\sum_n\exp(\pi i n^2 \tau)$, theta reciprocity describes how the function behaves under the linear fractional transformation $[\begin{sma …
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Quadratic reciprocity and Weil reciprocity theorem

John Milnor's Introduction to Algebraic K-Theory, has (on p. 101) some useful background on the connection between $K$-theory and quadratic reciprocity: Theorem 11.6 (Tate) The group $K_2\mathbb Q$ …
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