diff --git a/acb_dft.h b/acb_dft.h
index 91cb6377..17b430c4 100644
--- a/acb_dft.h
+++ b/acb_dft.h
@@ -262,9 +262,12 @@ acb_dft_bluestein_init(acb_dft_bluestein_t t, slong n, slong prec)
 ACB_DFT_INLINE void
 acb_dft_bluestein_clear(acb_dft_bluestein_t t)
 {
-    _acb_vec_clear(t->z, t->n);
-    _acb_vec_clear(t->g, t->rad2->n);
-    acb_dft_rad2_clear(t->rad2);
+    if (t->n != 0)
+    {
+        _acb_vec_clear(t->z, t->n);
+        _acb_vec_clear(t->g, t->rad2->n);
+        acb_dft_rad2_clear(t->rad2);
+    }
 }
 
 void _acb_dft_crt_init(acb_dft_crt_t crt, slong dv, slong len, slong prec);
diff --git a/acb_dft/bluestein.c b/acb_dft/bluestein.c
index 37e2883d..2e332a3c 100644
--- a/acb_dft/bluestein.c
+++ b/acb_dft/bluestein.c
@@ -88,16 +88,21 @@ _acb_dft_bluestein_init(acb_dft_bluestein_t t, slong dv, slong n, slong prec)
 {
     acb_ptr z, g;
     slong k, n2;
-    int e = n_clog(2 * n - 1, 2);
+    int e;
+
+    t->n = n;
+    t->dv = dv;
+
+    if (n == 0)
+        return;
+
+    e = n_clog(2 * n - 1, 2);
 
     if (DFT_VERB)
         flint_printf("dft_bluestein: init z[2^%i]\n", e);
 
     acb_dft_rad2_init(t->rad2, e, prec);
 
-    t->n = n;
-    t->dv = dv;
-
     t->z = z = _acb_vec_init(n);
     _acb_vec_bluestein_factors(t->z, n, prec);
 
@@ -118,6 +123,9 @@ acb_dft_bluestein_precomp(acb_ptr w, acb_srcptr v, const acb_dft_bluestein_t t,
     slong n = t->n, np = t->rad2->n, dv = t->dv;
     acb_ptr fp;
 
+    if (n == 0)
+        return;
+
     fp = _acb_vec_init(np);
     _acb_vec_kronecker_mul_step(fp, t->z, v, dv, n, prec);