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Results tagged with trace-formula
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user 43737
Theoretical issues and applications of the Selberg, Arthur and relative trace formulas
5
votes
1
answer
292
views
A trace formula for $\mathrm{GSp(4)}$
The Arthur trace formula and its variations provide general results for reductive groups, however to the extent of my knowledge only few specific instances of the formula have been really worked out i …
- 5,424
8
votes
1
answer
541
views
Reaching Hecke eigenvalues from a trace formula
I am interested in studying equidistribution of Hecke eigenvalues and proving statistical properties of arithmetical objects. On the road, I face the following problem: how to express sums of the form …
- 5,424
3
votes
1
answer
342
views
Orbital integral for matrix coefficients
I am currently aiming at estimating orbital integrals. Maybe surprizingly, I hope for some help in the compact case (ramified places), in proving the usual formula
$$O_\gamma(f) = \int_G f(x^{-1}\ …
- 5,424