Abstract
In this course, we introduce the main notions relative to the classical theory of modular forms. A complete treatise in a similar style can be found in the author’s book joint with Strömberg (Cohen and Strömberg, Modular Forms: A Classical Approach, Graduate Studies in Math. 179, American Math. Soc. (2017) [1]).
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H. Cohen and F. Strömberg, Modular Forms: A Classical Approach, Graduate Studies in Math. 179, American Math. Soc., (2017).
F. Diamond and J. Shurman, A first course in modular forms, Graduate Texts in Math. 228, Springer (2005),
T. Miyake, Modular Forms, Springer (1989).
G. Shimura, Introduction to the arithmetic theory of automorphic functions, Publ. Math. Soc. Japan 11, Princeton University Press (1994) (reprinted from the 1971 original).
D. Zagier, Elliptic modular forms and their applications, in “The 1-2-3 of modular forms”, Universitext, Springer (2008), pp. 1–103.
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Cohen, H. (2019). An Introduction to Modular Forms. In: Inam, I., Büyükaşık, E. (eds) Notes from the International Autumn School on Computational Number Theory. Tutorials, Schools, and Workshops in the Mathematical Sciences . Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-12558-5_1
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DOI: https://doi.org/10.1007/978-3-030-12558-5_1
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