Dr Lynne Walling

Research summary

Primarily, I work on Siegel modular forms using algebraic techniques, Hecke operators, and the theory of quadratic forms.  I am particularly interested in Siegel theta series and their connections with representation numbers of quadratic forms on lattices.  It is known that average Siegel theta series (where the average is taken over isometry classes in the genus of a lattice) lie in the space of Siegel Eisenstein series; thus I also have a keen interest in Siegel Eisenstein series.

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Links

• personal page

Recent publications

• Walling, LH, 2018, ‘Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series’. Ramanujan Journal.
• Walling, LH, 2017, ‘Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character’. International Journal of Number Theory, vol 13.

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View complete publications list in the University of Bristol publications system