2 papers
math.NT2007
On the maps from X(4p) to X(4)
Samar Jaafar, Kamal Khuri-Makdisi
We study pullbacks of modular forms of weight 1 from the modular curve X(4) to the modular curve X(4p), where p is an odd prime. We find the extent to which such modular forms sepa…
math.NT2006
Generating functions for Hecke operators
Hala Hajj Shehadeh, Samar Jaafar, Kamal Khuri-Makdisi
Fix a prime N, and consider the action of the Hecke operator T_N on the space M_k(SL(2,Z)) of modular forms of full level and varying weight k. The coefficients of the matrix of T_…