Supersingular Rank Two Drinfel ’ D Modules and Analogues of Atkin ’ S Orthogonal Polynomials

@inproceedings{DOBI2008SupersingularRT,
  title={Supersingular Rank Two Drinfel ’ D Modules and Analogues of Atkin ’ S Orthogonal Polynomials},
  author={DORIS DOBI and Nicholas Wage and IRENA WANG},
  year={2008}
}
The theory of elliptic curves and modular forms provides a precise relationship between the supersingular j-invariants and the congruences between modular forms. Kaneko and Zagier discuss a surprising generalization of these results in their paper on Atkin orthogonal polynomials. In this paper, we define an analog of the Atkin orthogonal polynomials for… CONTINUE READING