Let f = ∞ n=1 a(n)q n ∈ S k+1/2 (N, χ 0 ) be a non-zero cuspidal Hecke eigenform of weight k + 1 2 and the trivial nebentypus χ 0 where the Fourier coefficients a(n) are real. Bruinier and Kohnen conjectured that the signs of a(n) are equidistributed. This conjecture was proved to be true by Inam, Wiese and Arias-de-Reyna for the subfamilies {a(tn 2 )} n where t is a squarefree integer such that a(t) = 0. Let q and d be natural numbers such that (d, q) = 1. In this work, we show that {a(tn 2 )} n is equidistributed over any arithmetic progression n ≡ d mod q.

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