Martin J. Dickson

activity

20132016

most citedProducts of Eisenstein series and Fourier expansions of modular forms at cusps

16 citations · 16 across the 2 of their papers we have counts for

collaborators

5 papers

math.NT2016★ 16 cited

Products of Eisenstein series and Fourier expansions of modular forms at cusps

Martin Dickson, Michael Neururer

We show, for levels of the form $N = p^{a} q^{b} N^{'}$ with $N^{'}$ squarefree, that in weights $k \geq 4$ every cusp form $f \in S_{k} (N)$ is a linear combination of products of ce…

math.NT2015

Hecke eigenvalues of Klingen--Eisenstein series of squarefree level

Martin J. Dickson

We compute the intertwining relation between the Hecke operators and the Siegel lowering operators on Siegel modular forms of arbitrary level $N$ and character $χ$ by using formula…

math.NT2015

Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level

Martin Dickson, Ameya Pitale, Abhishek Saha +1

We formulate an explicit refinement of Böcherer's conjecture for Siegel modular forms of degree 2 and squarefree level, relating weighted averages of Fourier coefficients with spec…

math.NT2013

Local spectral equidistribution for degree 2 Siegel modular forms in level and weight aspects

Martin J. Dickson

We prove an equidistribution statement for the Satake parameters of the local representations attached to Siegel cusp forms of degree $2$ of increasing level and weight, counted wi…

math.NT2013

Fourier coefficients of degree 2 Siegel-Eisenstein series with trivial character at squarefree level

Martin J. Dickson

We compute the Fourier coefficients of all degree 2 Siegel-Eisenstein series of square-free level $N$ transforming with the trivial character. We then apply use these formulae to p…