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I want to start reading about zeta functions on my own, so i want to know what are the pre requisites that i need?

P.S : I am an EE engineer and have done the basic college level mathematical courses.

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I would say Rudin's Principles of Mathematical Analysis would be a good start - do lots of exercises. Then look into Complex Analysis by Stein and Shakarchi, it has a chapter devoted to $\zeta(s)$ and the prime number theorem. These are both rigorous mathematical texts though, not exactly "casual" reading. –  icurays1 Nov 28 '12 at 16:29
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Zeta functions of number fields? Zeta functions of algebraic varieties? Zeta functions of graphs? Zeta functions of dynamical systems? –  Gerry Myerson Nov 29 '12 at 5:07
    
which one should i start with considering i have only done calculus, vector calculus, pde,ode, linear algebra, complex analysis courses as basics in college? –  Bhargav Nov 29 '12 at 17:42
    
That would depend on why you want to start reading about zeta functions. What have you heard about zeta functions that makes you want to start reading about them? –  Gerry Myerson Nov 30 '12 at 2:42
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@b555 You need complex analysis and for this, probably more analysis than you already know, so the first comment by icurays1 is exactly what you need. –  Phira Dec 4 '12 at 13:26

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