Elementary theory of L-functions and modular forms
Literature
From Serre's book we shall use the second part only.
Books
- Apostol, T., Introduction to Analytic Number Theory, UTM, Springer-Verlag
- Davenport, H., Multiplicative Number Theory, GTM 74, Springer-Verlag, 1980
- Kowalski, E., Elementary Theory of L-Functions I, An Introduction to the Langlands Program, Birkhäuser Basel
- Landau, E., Elementary Number Theory, AMS Chelsea Publishing, 1958
- Nathanson, M.B., Elementary Methods in Number Theory, GTM 195, Springer-Verlag, 2000
- Serre, J-P., A Course in Arithmetic, GTM 7, Springer-Verlag, 1973
- Silverman J. and Tate, J., Rational Points on Elliptic Curves, UTM, 2015
Papers
- Ayoub, R., Euler and the Zeta Function, The American Mathematical Monthly, 81, 1974, pp. 1067-1086
- Zagier, D., Elliptic Modular Forms and Their Applications, The 1-2-3 of Modular Forms, Springer Berlin, 2008, pp. 1-103
- Zagier, D., Newman's Short Proof of the Prime Number Theorem, The American Mathematical Monthly, 104, 1997, pp. 705-708
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