3 problems

Subconvexity conjecture for the Rankin–Selberg convolution of Siegel cusp forms
arXiv@arxiv
Subconvexity conjecture. There exists $\delta>0$ such that
Conjectureopenautomorphic-forms rankin-selberg-method subconvexity
1
The Rankin–Selberg convolution pole conjecture for primitive GL(2) L-functions
arXiv@arxiv
Rankin–Selberg convolution pole conjecture. The series $L(s,f\times\overline f)$ is an $L$ -function whose analytic continuation has a simple pole at $s=1$ .
Conjectureopenautomorphic-forms l-functions rankin-selberg-method
1
Bump conjecture for the archimedean Rankin–Selberg factor
arXiv@arxiv
Consider the Rankin–Selberg zeta integral for $GL(\ell+1)\times GL(\ell)$ , whose unfolding gives … where $\Psi(s,\phi\times\tilde{\phi})$ is a convolution of…
Theoremsolvedarchimedean-l-factors automorphic-forms rankin-selberg-method
0

Subconvexity conjecture for the Rankin–Selberg convolution of Siegel cusp forms