Question 4. in this question :1 high standard of rigorous proof is not expected, hot you should explain clearly what general result you might. need to it'll-0W to-justi' any stew that you may be unable to justify properly' with your present level ofirnoudedge. It is possible to give an answer for full credit using only ideas discussai up to'the {ind ofLecture 23. {a} Explain utiliserlg,r why; given the formula :{3} Hi1 p_'"} = 1 for His-[3} I:- 1._ one should expect that pee 1 t\" om) m na- for HF{} 3" l1 {*3 where 1. if n = l, Qin} = {lfe, if 'n. has it distinet prime factors and no repeated prime factors. i]. if 'n. has any repeated prime factors. {b} E}; referring to an appropriate theorem Erorn lectures, explain why you know that the-series on the right-hand side of Eq. {1:} is a holomorphie function of s for High} 3.. 1. Explain what this tells you about possible locatioma of zeros of the Riemann zetahumtion. {c} Where a: E JR, let at} and lm} be continuous t'tuietiens of the reel Tmriehle m1 and suppose that in some strip :1