Results 1 to 10 of about 175 (23)

On the local $L^2$ -Bound of the Eisenstein series

Forum of Mathematics, Sigma
We study the growth of the local $L^2$ -norms of the unitary Eisenstein series for reductive groups over number fields, in terms of their parameters. We derive a poly-logarithmic bound on an average, for a large class of reductive groups.
Subhajit Jana, Amitay Kamber
doaj   +1 more source

Doubling constructions and tensor product L-functions: coverings of the symplectic group

Forum of Mathematics, Sigma
In this work, we develop an integral representation for the partial L-function of a pair $\pi \times \tau $ of genuine irreducible cuspidal automorphic representations, $\pi $ of the m-fold covering of Matsumoto of the symplectic group $
Eyal Kaplan
doaj   +1 more source

Eisenstein Cohomology for $\mathrm {GL}_N$ and the special values of Rankin–Selberg L-functions over a totally imaginary number field

Forum of Mathematics, Sigma
This article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological ...
A. Raghuram
doaj   +1 more source

Fourier expansion along geodesics on Riemann surfaces

Open Mathematics, 2014
Deitmar Anton
doaj   +1 more source

Rationality for isobaric automorphic representations: the CM-case. [PDF]

Mon Hefte Math, 2018
Grobner H.
europepmc   +1 more source

On the notion of the parabolic and the cuspidal support of smooth-automorphic forms and smooth-automorphic representations. [PDF]

Mon Hefte Math
Grobner H, Žunar S.
europepmc   +1 more source

Representation growth and representation zeta functions of groups [PDF]

, 2012
We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as ...
Klopsch, Benjamin
core   +3 more sources

On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n [PDF]

, 2016
Based on previous results of Jiang, Nien and the third author, we prove that any two minimax unitarizable supercuspidals of GL_N that have the same depth and central character admit a special pair of Whittaker functions. This result gives a new reduction
Adrian, Moshe, Liu, Baiying, Stevens, Shaun, Xu, Peng   +3 more
core   +1 more source

On the SL(2) period integral [PDF]

, 2004
Let E/F be a quadratic extension of number fields. For a cuspidal representation $\pi$ of SL(2,A_E), we study the non-vanishing of the period integral on SL(2,F)\SL(2,A_F).
Anandavardhanan, U. K., Prasad, Dipendra
core   +4 more sources

On the vanishing of the measurable Schur cohomology groups of Weil groups [PDF]

, 2002
We generalize a theorem of Tate and show that the second cohomology of the Weil group of a global or local field with coefficients in $\C^*$ (or more generally, with coefficients in the complex points of a tori over $\C$) vanish, where the cohomology ...
Rajan, C. S.
core   +4 more sources