Modular equations of hyperelliptic X₀(N) and an application
Modular forms and class number congruences
Modular forms and de Rham cohomology; Atkin-Swinnerton-Dyer congruences.
Modular forms and Galois Representations
Modular Forms and Root Systems.
Modular Forms Associated to Real Quadratic Fields.
Modular forms for Fr [T].
Modular forms of genus 2 and weight 1.
Modular Forms of Half Integral Weight, Some Explicit Arithmetic.
Modular Forms of Half-Integral Weight on ...0(4).
Modular Forms of Varying Weight. I.
Modular Forms of Varying Weight. II.
Modular forms of varying weights.
Modular forms of weight 1/2 over class number 1 imaginary quadratic number fields
Modular forms vanishing at the reducible points of the Siegel upper-half space.
Modular functions, elliptic functions and Galois module structure.
Modular invariance property of association schemes, type II codes over finite rings and finite abelian groups and reminiscences of François Jaeger (a survey)
Modular invariance property of association schemes is recalled in connection with our joint work with François Jaeger. Then we survey codes over discussing how codes, through their (various kinds of) weight enumerators, are related to (various kinds of) modular forms through polynomial invariants of certain finite group actions and theta series. Recently, not only codes over an arbitrary finite field but also codes over finite rings and finite abelian groups are considered and have been studied...
Modular Lagrangians and the theta multiplier.
Modular parametrizations of certain elliptic curves
Kaneko and Sakai (2013) recently observed that certain elliptic curves whose associated newforms (by the modularity theorem) are given by the eta-quotients can be characterized by a particular differential equation involving modular forms and Ramanujan-Serre differential operator. In this paper, we study certain properties of the modular parametrization associated to the elliptic curves over ℚ, and as a consequence we generalize and explain some of their findings.
Modular relations and explicit values of Ramanujan-Selberg continued fractions.