To study statistical properties of modular forms, including for instance Sato-Tate like problems, it is essential to have a large number of Fourier coefficients. In this article, we exhibit three bases for the space of modular forms of any half-integral weight and level 4, which have the property that many coefficients can be computed (relatively) quickly on a computer.Comment: v3, 6 pages; added rough complexity estimat
Given a Hilbert cuspidal newform $g$ we construct a family of modular forms of half-integral weight ...
Congruences of Fourier coefficients of modular forms have long been an object of central study. By c...
In this talk, we give an exposition on some recent work, due to various researchers, on the sign of ...
peer reviewedTo study statistical properties of modular forms, including for instance Sato-Tate like...
We discuss practical and some theoretical aspects of computing a database of classical modular forms...
In this joint work with Ilker Inam, we exploit classical results of Kohnen and Cohen to give explici...
In my talk, I reported about recent joint work with S. Gun in which a new proof was given that for a...
International audienceWe show that the Dirichlet series associated to the Fourier coefficients of a ...
In this paper, we investigate the sign changes of Fourier coefficients of half-integral weight Hecke...
In this note, we show that the algebraicity of the Fourier coefficients of half-integral weight modu...
Cette thèse traite de certains aspects analytiques liés aux coefficients de Fourier des formes modul...
peer reviewedThe article motivates, presents and describes large computer calculations concerning th...
Modular forms came to the attention of number theorists through the wealth of their arithmetic behav...
The p-adic L-function for modular forms of integral weight is well-known. For certain weights the p-...
We prove modularity of formal series of Jacobi forms that satisfy a natural symmetry condition. They...
Given a Hilbert cuspidal newform $g$ we construct a family of modular forms of half-integral weight ...
Congruences of Fourier coefficients of modular forms have long been an object of central study. By c...
In this talk, we give an exposition on some recent work, due to various researchers, on the sign of ...
peer reviewedTo study statistical properties of modular forms, including for instance Sato-Tate like...
We discuss practical and some theoretical aspects of computing a database of classical modular forms...
In this joint work with Ilker Inam, we exploit classical results of Kohnen and Cohen to give explici...
In my talk, I reported about recent joint work with S. Gun in which a new proof was given that for a...
International audienceWe show that the Dirichlet series associated to the Fourier coefficients of a ...
In this paper, we investigate the sign changes of Fourier coefficients of half-integral weight Hecke...
In this note, we show that the algebraicity of the Fourier coefficients of half-integral weight modu...
Cette thèse traite de certains aspects analytiques liés aux coefficients de Fourier des formes modul...
peer reviewedThe article motivates, presents and describes large computer calculations concerning th...
Modular forms came to the attention of number theorists through the wealth of their arithmetic behav...
The p-adic L-function for modular forms of integral weight is well-known. For certain weights the p-...
We prove modularity of formal series of Jacobi forms that satisfy a natural symmetry condition. They...
Given a Hilbert cuspidal newform $g$ we construct a family of modular forms of half-integral weight ...
Congruences of Fourier coefficients of modular forms have long been an object of central study. By c...
In this talk, we give an exposition on some recent work, due to various researchers, on the sign of ...