Rational Points on Compactifications of Semi-Simple Groups of Rank 1

By J. Shalika, Ramin Takloo-Bighash, Yuri Tschinkel. 2006

55 citations recorded by the source corpus.

We explain our approach to the problem of counting rational points of bounded height on equivariant compactifications of semi-simple groups.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0bbe3abad2e9dd52458fde4230825d1d7e6376e5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Alexander Gorodnik
2. Antoine Chambert-Loir
3. A. Nevo
4. Yuri Tschinkel
5. Nicolas Templier

In Geometry and Topology

1. A. Nevo
2. Alexander Gorodnik
3. Antoine Chambert-Loir
4. Yuri Tschinkel
5. Giovanni Mongardi
6. C. Favre
7. François Maucourant

In Mathematical Physics

1. A. Nevo
2. Alexander Gorodnik
3. Antoine Chambert-Loir
4. Yuri Tschinkel
5. Peter Sarnak
6. Giovanni Mongardi
7. C. Favre
8. Sho Tanimoto

Citations in the corpus

• Igusa integrals and volume asymptotics in analytic and adelic geometry (2009, methodology): “associated Mellin transform which had been previously shown in [45], Theorem 7.”
• Counting lattice points (2009, background): “(1) Via direct spectral expansion and regularisation of the automorphic kernel on G=G, G semisimple [3], [4], [14], [17], [25], [26], [31], [49], [55], [56], [74], [63], [77], [85], [83], [84], [82],”