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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (14.05.2019)
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (10.05.2017)
J. S. Milne: Modular Functions and Modular Forms, S. Lang: Algebraic Number Theory, Second Edition, GTM, Springer 1994 F. Diamond, J. Shurman: A First Course in Modular Forms, GTM, Springer 2005 D. Bump: Automorphic Forms and Representations, Cambridge Studies in Advanced Mathematics 55 (1998) |
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (28.10.2019)
Students have to pass final oral exam. The requirements for the exam correspond to what has been done during lectures. |
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (10.05.2017)
Riemann surfaces Upper half plane and SL(2, R) Elliptic functions Modular forms Eisenstein's series, Ramanujan's tau function Hecke operators Zeta function and Dirichlet L-functions Analytic continuation and functional equation Theta functions L-functions of modular forms and elliptic curves FLT and modularity theorem |