Course

M560 - Modular Forms of One Variable

Course No: 
M560
Credit: 
4
Prerequisites: 
M202 , M205
Approval: 
2014
UG-Elective
Syllabus: 
$SL_2 (\mathbb Z)$ and its congruence subgroups, Modular forms for $SL_2 (\mathbb Z)$, Modular forms for congruence subgroups, Modular forms and differential operators, Hecke theory, L-series, Theta functions and transformation formula.
Reference Books: 
  1. J.-P. Serre, “A Course in Arithmetic”, Graduate Texts in Mathematics 7, Springer- Verlag, 1973.
  2. N. Koblitz, “Introduction to Elliptic Curves and Modular Forms”, Graduate Texts in Mathematics 97, Springer-Verlag, 1993.
  3. J. H. Bruinier, G. van der Geer, G. Harder, D. Zagier, “The 1-2-3 of Modular Forms”, Universitext, Springer-Verlag, 2008.
  4. F. Diamond, J. Shurman, “A First Course in Modular Forms”, Graduate Texts in Mathematics 228, Springer-Verlag, 2005.
  5. S. Lang, “Introduction to Modular Forms”, Springer-Verlag, 1995.
  6. G. Shimura, “Introduction to the Arithmetic Theory of Automorphic Forms”, Princeton University Press, 1994.

Contact us

School of Mathematical Sciences

NISERPO- Bhimpur-PadanpurVia- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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