-rank differences for partitions without repeated odd parts
We prove formulas for the generating functions for -rank differences for partitions without repeated odd parts. These formulas are in terms of modular forms and generalized Lambert series.
Mean values related to the Dedekind zeta-function
Let be a nonnormal cubic extension which is given by an irreducible polynomial . Denote by the Dedekind zeta-function of the field and the number of integral ideals in with norm . In this note, by the higher integral mean values and subconvexity bound of automorphic -functions, the second and third moment of is considered, i.e., where , are polynomials of degree 1, 4, respectively, is an arbitrarily small number.
Mod p Hecke Operators and Congruences Between Modular Forms.
Modular Curves and the Class Group of Q(...p).
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 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 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 symmetry and fractional charges in supersymmetric Yang-Mills and the quantum Hall effect.
Modulformen auf ... (N) mit rationalen Perioden.
Multiplier systems