diff --git a/qma_coulomb_hardness_v2.txt b/qma_coulomb_hardness_v2.txt
index 3e8ebd0..bec9a4a 100644
--- a/qma_coulomb_hardness_v2.txt
+++ b/qma_coulomb_hardness_v2.txt
@@ -404,7 +404,7 @@ So (-Delta_r/2 + W) phi = -phi/2, i.e. varphi is the ground mode with energy
 exactly -1/2. Derivatives of phi through order six are bounded. The
 representation
 
-    phi(r) = int_0^\infty e^{-t} int_{R^2} (4 pi t)^{-1} e^{-|r-b|^2/(4t)}
+    phi(r) = int_0^infinity e^{-t} int_{R^2} (4 pi t)^{-1} e^{-|r-b|^2/(4t)}
              f(b) db dt
 
 (from the heat kernel; this is the standard Gaussian-heat formula for the
@@ -1480,7 +1480,7 @@ The orbital integrals. The modes come from phi = (-Delta_r + 1)^{-1} f, so
 in the Gaussian heat formula, substitute t = s^2 and rescale the Gaussian
 integration variable. For a derivative D^alpha of any required order,
 
-    D^alpha phi(r) = (1/pi) int_0^\infty int_{R^2} 2s e^{-s^2} e^{-|a|^2}
+    D^alpha phi(r) = (1/pi) int_0^infinity int_{R^2} 2s e^{-s^2} e^{-|a|^2}
                       D^alpha f(r + 2 s a) da ds .                  (89)
 
 This integrand is regular at s = 0. The needed derivatives of f are bounded