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Results tagged with nt.number-theory
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user 95002
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
0
votes
Antiholomorphic cusp forms of negative weight
It's reasonable to assume that he means $S_{-k}(\Gamma) = \overline{S_k(\Gamma)}$ for $k > 0$. So $k \ge 2$ are holomorphic and $k \le -2$ are antiholomorphic. If you treat them all as Maass forms w …
- 151
3
votes
0
answers
271
views
Spectral decomposition on GL(n)
If $\Delta_1, \ldots, \Delta_{n-1}$ are a basis of the ring of commuting bi-$SL(n,R)$-invariant differential operators, $L_0^2=L_0^2(SL(n,Z)\backslash SL(n,R))$ is the space of cuspidal automorphic fu …
- 151
3
votes
Rankin-Selberg integral for GL(3) form with Odd Maass form on GL(2)
Like Peter Humphries suggests, you need to replace u with $\Lambda_2 u$ and replace $F$ with something that transforms appropriately on the upper-left copy of SO(2).
Thinking of the weight 2 raise $\ …
- 151