diff --git a/src/gui_w32.c b/src/gui_w32.c
index 19db1a3..5bc5a39 100644
--- a/src/gui_w32.c
+++ b/src/gui_w32.c
@@ -842,8 +842,7 @@
     ch = simplify_key(ch, &modifiers);
     // remove the SHIFT modifier for keys where it's already included, e.g.,
     // '(' and '*'
-    if (ch < 0x100 && !isalpha(ch) && isprint(ch))
-	modifiers &= ~MOD_MASK_SHIFT;
+    modifiers = may_remove_shift_modifier(modifiers, ch);
 
     // Unify modifiers somewhat.  No longer use ALT to set the 8th bit.
     ch = extract_modifiers(ch, &modifiers, FALSE, NULL);
diff --git a/src/gui_x11.c b/src/gui_x11.c
index 1402407..f1d9bf8 100644
--- a/src/gui_x11.c
+++ b/src/gui_x11.c
@@ -958,8 +958,7 @@
 
 	// Remove the SHIFT modifier for keys where it's already included,
 	// e.g., '(', '!' and '*'.
-	if (!ASCII_ISALPHA(key) && key > 0x20 && key < 0x7f)
-	    modifiers &= ~MOD_MASK_SHIFT;
+	modifiers = may_remove_shift_modifier(modifiers, key);
     }
 
     if (modifiers != 0)
diff --git a/src/misc2.c b/src/misc2.c
index 0370bdf..3781dd8 100644
--- a/src/misc2.c
+++ b/src/misc2.c
@@ -2950,6 +2950,7 @@
  * Some keys already have Shift included, pass them as normal keys.
  * Not when Ctrl is also used, because <C-H> and <C-S-H> are different.
  * Also for <A-S-a> and <M-S-a>.
+ * This includes all printable ASCII characters except numbers and a-z.
  */
     int
 may_remove_shift_modifier(int modifiers, int key)
@@ -2957,8 +2958,9 @@
     if ((modifiers == MOD_MASK_SHIFT
 		|| modifiers == (MOD_MASK_SHIFT | MOD_MASK_ALT)
 		|| modifiers == (MOD_MASK_SHIFT | MOD_MASK_META))
-	    && ((key >= '@' && key <= 'Z')
-		|| key == '^' || key == '_'
+	    && ((key >= '!' && key <= '/')
+		|| (key >= ':' && key <= 'Z')
+		|| (key >= '[' && key <= '`')
 		|| (key >= '{' && key <= '~')))
 	return modifiers & ~MOD_MASK_SHIFT;
     return modifiers;
diff --git a/src/testdir/test_termcodes.vim b/src/testdir/test_termcodes.vim
index f3a7af5..91ccda8 100644
--- a/src/testdir/test_termcodes.vim
+++ b/src/testdir/test_termcodes.vim
@@ -2123,6 +2123,20 @@
   call RunTest_mapping_works_with_mods(function('GetEscCodeCSIu'), 'S-A', 4)
 endfunc
 
+func Test_mapping_works_with_alt_and_shift()
+  new
+  set timeoutlen=10
+
+  " mapping <A-?> works even though the code is A-S-?
+  for c in ['!', '$', '+', ':', '?', '^', '~']
+    call RunTest_mapping_mods('<A-' .. c .. '>', c, function('GetEscCodeCSI27'), 4)
+    call RunTest_mapping_mods('<A-' .. c .. '>', c, function('GetEscCodeCSIu'), 4)
+  endfor
+
+  bwipe!
+  set timeoutlen&
+endfunc
+
 func Test_mapping_works_with_ctrl_alt()
   call RunTest_mapping_works_with_mods(function('GetEscCodeCSI27'), 'C-A', 7)
   call RunTest_mapping_works_with_mods(function('GetEscCodeCSIu'), 'C-A', 7)
diff --git a/src/version.c b/src/version.c
index 90ec322..149a3ff 100644
--- a/src/version.c
+++ b/src/version.c
@@ -751,6 +751,8 @@
 static int included_patches[] =
 {   /* Add new patch number below this line */
 /**/
+    1752,
+/**/
     1751,
 /**/
     1750,