Title: Goldbach Representations in Arithmetic Progressions and zeros of Dirichlet L-functions,
Abstract: Assuming a conjecture on distinct zeros of Dirichlet L-functions we get
asymptotic results on the average number of representations of an integer as
the sum of two primes in arithmetic progression. On the other hand the
existence of good error terms gives information on the the location of zeros of
L-functions and possible Siegel zeros. Similar results are obtained for an
integer in a congruence class expressed as the sum of two primes.