Transcription of Modular functions and modular forms
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Modular functions and Modular forms (Elliptic Modular Curves). Milne Version March 22, 2017. This is an introduction to the arithmetic theory of Modular functions and Modular forms , with a greater emphasis on the geometry than most accounts. BibTeX information: @misc{milneMF, author={Milne, James S.}, title={ Modular functions and Modular forms ( )}, year={2017}, note={Available at }, pages={134}. }. May 22, 1997; first version on the web; 128 pages. November 23, 2009; new style; minor fixes and improvements; added list of symbols;. 129 pages. April 26, 2010. Corrected; many minor revisions. 138 pages. March 22, 2017. Corrected; minor revisions. 133 pages. Please send comments and corrections to me at the address on my website The picture shows a fundamental domain for 1 .10/, as drawn by the fundamental domain drawer of H. Verrill. Copyright c 1997, 2009, 2012, 2017 Milne. Single paper copies for noncommercial personal use may be made without explicit permission from the copyright holder.
The main focus of this course will be on Riemann surfaces with Das their universal covering space, but we shall also need to look at those with C as their universal covering
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