A summation formula for triples of quadratic spaces
Publication
, Journal Article
Getz, JR; Liu, B
Published in: Advances in Mathematics
April 30, 2019
Let V 1 ,V 2 ,V 3 be a triple of even dimensional vector spaces over a number field F equipped with nondegenerate quadratic forms Q 1 ,Q 2 ,Q 3 , respectively. Let Y⊂∏i=1V i be the closed subscheme consisting of (v 1 ,v 2 ,v 3 ) on which Q 1 (v 1 )=Q 2 (v 2 )=Q 3 (v 3 ). Motivated by conjectures of Braverman and Kazhdan and related work of Lafforgue, Ngô and Sakellaridis we prove an analogue of the Poisson summation formula for certain functions on this space.
Duke Scholars
Published In
Advances in Mathematics
DOI
EISSN
1090-2082
ISSN
0001-8708
Publication Date
April 30, 2019
Volume
347
Start / End Page
150 / 191
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Getz, J. R., & Liu, B. (2019). A summation formula for triples of quadratic spaces. Advances in Mathematics, 347, 150–191. https://doi.org/10.1016/j.aim.2019.02.023
Getz, J. R., and B. Liu. “A summation formula for triples of quadratic spaces.” Advances in Mathematics 347 (April 30, 2019): 150–91. https://doi.org/10.1016/j.aim.2019.02.023.
Getz JR, Liu B. A summation formula for triples of quadratic spaces. Advances in Mathematics. 2019 Apr 30;347:150–91.
Getz, J. R., and B. Liu. “A summation formula for triples of quadratic spaces.” Advances in Mathematics, vol. 347, Apr. 2019, pp. 150–91. Scopus, doi:10.1016/j.aim.2019.02.023.
Getz JR, Liu B. A summation formula for triples of quadratic spaces. Advances in Mathematics. 2019 Apr 30;347:150–191.
Published In
Advances in Mathematics
DOI
EISSN
1090-2082
ISSN
0001-8708
Publication Date
April 30, 2019
Volume
347
Start / End Page
150 / 191
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics