Research output per year
Research output per year
Personal profile
Research interests
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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Research output
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Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series
Walling, L. H., 8 Feb 2018, (E-pub ahead of print) In: Ramanujan Journal. 25 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile2 Citations (Scopus)180 Downloads (Pure) -
Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character
Walling, L. H., Mar 2017, In: International Journal of Number Theory. 13, 2, p. 325-370 46 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile5 Citations (Scopus)271 Downloads (Pure) -
Hecke operators on half-integral weight Siegel Eisenstein series
Walling, L., 9 Jun 2017, (E-pub ahead of print) In: International Journal of Number Theory. 13, 9, p. 2335-2372 38 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile241 Downloads (Pure)