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Results tagged with automorphic-forms
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user 38104
An automorphic form is a well-behaved function from a topological group $G$ to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup $\Gamma \subset G$ of the topological group. Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups.
4
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Lower bound of first moment of $L$-function on $\mathrm{GL}(3)$
see http://www.ams.org/journals/proc/2009-137-11/S0002-9939-09-10012-6/S0002-9939-09-10012-6.pdf ,where the low bound $T$ was obtained unconditionally for any $G_m(\mathbb{Q_A})$ and any power of pos …
- 177
1
vote
1
answer
736
views
stationary phase method in analytic number theory
I hope someone can tell me something about the error term in the formula calculating the oscillatory integral like $\int_a^b g(x)e(f(x))d x$. Specially, the exact formula on page 114 of M. Huxley's gr …
- 177
6
votes
1
answer
1k
views
subconvexity problem for $GL(3) × GL(2)$ $L$-function without involving in symmetric lift
A question in study of subconvexity topic puzzles me for a long time, which mabe a stupid question for many experts. I really wish someone to help me out, and any advice will be highly appreciated.
L …
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