Errata for A Brief Guide to Algebraic Number Theory by H.P.F. Swinnerton-Dyer

This is for Math 129. If you find a mistake not on this list, send me an email.

• Page 4, first line of Lemma 3: The inclusion should be k in K, not the other way around.
• Page 15, Line -7: J_k should be replaced by C_k, since J_k is clearly infinite, since there are infinitely many primes. [Found by Jayce Getz.]
• Page 19, statement of Corollary: The corollary should assume $n=[k:\Q]>1$, since when $k=\Q$, we do have $d=1$.
• Page 19: On p. 19, I think it should say D_r1,r2(1), not D_r1,r2(n), near the bottom. [Jayce]
• Page 45: On pg 45, Line 5: In the subscript it should be $K/k$. [Found by Francis Clarke]
• Page 57: On pg 57, Line 14: $\Im\beta$ should be $\Re\beta$ (twice). [Found by Francis Clarke]