diff --git a/include/boost/math/special_functions/zeta.hpp b/include/boost/math/special_functions/zeta.hpp
index c10307542..4a374cdd5 100644
--- a/include/boost/math/special_functions/zeta.hpp
+++ b/include/boost/math/special_functions/zeta.hpp
@@ -949,7 +949,7 @@ T zeta_imp(T s, T sc, const Policy& pol, const Tag& tag)
    static const char* function = "boost::math::zeta<%1%>";
    if(sc == 0)
       return policies::raise_pole_error<T>(function, "Evaluation of zeta function at pole %1%", s, pol);
-   T result;
+   T result;  // LCOV_EXCL_LINE
    //
    // Trivial case:
    //
diff --git a/test/test_ulp.cpp b/test/test_ulp.cpp
index fe0336469..f57ea2061 100644
--- a/test/test_ulp.cpp
+++ b/test/test_ulp.cpp
@@ -26,6 +26,8 @@ void test()
       BOOST_CHECK_THROW(boost::math::ulp(std::numeric_limits<T>::infinity()), std::overflow_error);
    }
    BOOST_CHECK_THROW(boost::math::ulp(boost::math::tools::max_value<T>()), std::overflow_error);
+
+   BOOST_CHECK(boost::math::ulp(static_cast<T>(0)) != 0);
 }
 
 BOOST_AUTO_TEST_CASE( test_main )