Errata

Self-dual Artin representations. In: Automorphic Representation and L-functions, D. Prasad, C.S. Rajan, A. Sankaranarayanan, J. Sengupta, eds., Tata Institute of Fundamental Research Studies in Mathematics Vol. 22 (2013), 455 -- 499.
(i) The sentence following (4.1) on p. 465 should be corrected as follows: "Indeed let $m$ be a positive integer not divisible by 4 such that the greatest common divisor of $m$ and the discriminant of $F$ divides 2, and let ..." (ii) In the second line from the bottom of p. 472, $\mathfrak q$ should be $q$. (iii) The constant in the asymptotic relation (9.3) on p. 487 is incorrect, both because of double-counting and because the formula for $q(\rho)$ holds in general only if $q(\psi)$ is relatively prime to $d_K$. However, the bound $\vartheta^{\ab, K}_{\Q,2}(x) \ll x$ still holds, and if (9.3) is replaced by this bound then the rest of the argument goes through as before.

A deformation of the Tate module, J. of Algebra 229 (2000), 280 -- 313.
The formula for  $\theta(c)$  on p. 294 is in error: The coefficient of  $X^2$  should be  $(c^4-c^2)/12$,  not  $(c^4+2c^2-3c)/24$.  Although very embarrassing, the error is inconsequential in the sense that there was no need to display the coefficient of  $X^2$  in the first place.

Galois theory, elliptic curves, and root numbers, Compositio Math. (1996), 311 -- 349.
In the first line of the paragraph containing displayed formula (3.6) on p. 331, the equation  $K=F(\Delta^{1/e})$ should be  $K=F(\varpi^{1/e})$.