Dr Lynne H Walling

Ph.D.(Dartmouth)

  • BS8 1UG

20022018

Research output per year

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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

  • 17 Article (Academic Journal)
  • 1 Edited book
  • 1 Chapter in a book
  • 1 Conference Contribution (Conference Proceeding)

Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series

Walling, L. H., 8 Feb 2018, In : Ramanujan Journal. 25 p.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
  • 111 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, 46 p., 325.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
    File
  • 3 Citations (Scopus)
    215 Downloads (Pure)

    Hecke operators on half-integral weight Siegel Eisenstein series

    Walling, L., 9 Jun 2017, In : International Journal of Number Theory. 38 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
    File
  • 203 Downloads (Pure)