There is a formula for arbitrary degree polynomials, it’s just difficult to apply: https://en.m.wikipedia.org/wiki/Thomae%27s_formula https://en.m.wikipedia.org

There is a formula for arbitrary degree polynomials, it’s just difficult to apply: https://en.m.wikipedia.org/wiki/Thomae%27s_formula https://en.m.wikipedia.org/wiki/Thomae%27s_formula Apparently it’s the integrals involved that make it a challenge to use? You’re probably thinking of the theorem that these can’t always be expressed with just exponents and fractions and other plain algebraic operations.