Demystifying modular forms - Mathematics Stack Exchange
Apr 6, 2016 · Modular forms are a rich and deep theory that sits at the crossroad of many important branches of mathematics. The complex analytic approach is certainly the most …
Introductive Book on Modular Forms - Mathematics Stack Exchange
Dec 14, 2013 · I'm looking for an introductive book on Modular Forms and their applications to Algebraic Geometry and Algebraic Number Theory. Some Ideas? Explaining you my …
number theory - Intuition for the Importance of Modular Forms ...
The theory of modular forms arose out of the study of elliptic integrals (as did the theory of elliptic curves, and much of modern algebraic geometry, and indeed much of modern mathematics). …
Plotting graphs of Modular Forms - Mathematics Stack Exchange
Nov 10, 2021 · After watching all the 8 parts of "“Introduction to Modular Forms,” by Keith Conrad" on YouTube, I got "extremely intrigued" by plotting graphs of Modular Forms ( on SL (2,Z) ).
Order of study (books) modular forms/elliptic curves/Iwasawa theory
Sep 6, 2023 · A first course in modular forms (Diamond) The Arithmetic of elliptic curves (Silverman) Advanced topics on the arithmetic of elliptic curve (Silverman) P.S. May I ask if …
Modular functions and modular forms - Mathematics Stack …
Oct 16, 2023 · A modular function as a meromorphic function satisfying f(γz) = f(z) f (γ z) = f (z) (automorphy relation of weight 0 0) and meromorphic at cusps. Apparently, a quotient of two …
What are modular forms used for? - Mathematics Stack Exchange
Modular forms can be seen as certain space of functions which provides you with concrete models of infinte dimensional representations of locally compact groups (SL (2,R) say). …
modular forms - How to expand a formal product into a $q$-series ...
5 days ago · This is an exercise from a problem sheet I am trying to solve for a course called "An introduction to modular forms and elliptic curves". Let $N_p$ be the number of ...
number theory - Twisting modular forms by Dirichlet characters ...
Aug 13, 2014 · Twisting modular forms by Dirichlet characters Ask Question Asked 11 years, 4 months ago Modified 8 years, 5 months ago
modular forms - Are the eigenvalues of the Hecke operators …
Are the eigenvalues of the Hecke operators Tn T n for Mk(SL2(Z)) M k (SL 2 (Z)) always real? I think I have an answer but I am not confident with my arguments. If f f is a normalized …