The Subregular Unipotent Contribution to the Geometric Side of the Arthur Trace Formula for the Split Exceptional Group G2

  • Tobias Finis
  • Werner Hoffmann
  • Satoshi WakatsukiEmail author
Conference paper
Part of the Simons Symposia book series (SISY)


In this paper, a zeta integral for the space of binary cubic forms is associated with the subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group G2.


Arthur trace formula Zeta integrals of prehomogeneous vector spaces Exceptional group G2 Binary cubic forms 



The author “Werner Hoffmann” was partially supported by the Collaborative Research Center 701 of the DFG. The author “Satoshi Wakatsuki” was partially supported by JSPS Grant-in-Aid for Scientific Research (No. 26800006, 25247001, 15K04795).


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Tobias Finis
    • 1
  • Werner Hoffmann
    • 2
  • Satoshi Wakatsuki
    • 3
    Email author
  1. 1.Mathematisches InstitutUniversität LeipzigLeipzigGermany
  2. 2.Fakultät für MathematikUniversität BielefeldBielefeldGermany
  3. 3.Faculty of Mathematics and PhysicsInstitute of Science and Engineering, Kanazawa UniversityKanazawaJapan

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