Results 1 to 10 of about 33 (33)

An orthogonality relation for $\mathrm {GL}(4, \mathbb R) $ (with an appendix by Bingrong Huang)

Forum of Mathematics, Sigma, 2021
Orthogonality is a fundamental theme in representation theory and Fourier analysis. An orthogonality relation for characters of finite abelian groups (now recognized as an orthogonality relation on $\mathrm {GL}(1)$) was used by Dirichlet to prove ...
Dorian Goldfeld, Eric Stade, Michael Woodbury   +2 more
doaj   +1 more source

PERIODIC TWISTS OF $\operatorname{GL}_{3}$-AUTOMORPHIC FORMS

Forum of Mathematics, Sigma, 2020
We prove that sums of length about $q^{3/2}$ of Hecke eigenvalues of automorphic forms on $\operatorname{SL}_{3}(\mathbf{Z})$ do not correlate with $q$-periodic functions with bounded Fourier transform.
EMMANUEL KOWALSKI, YONGXIAO LIN, PHILIPPE MICHEL, WILL SAWIN   +3 more
doaj   +1 more source

$p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS

Forum of Mathematics, Pi, 2020
This paper completes the construction of $p$-adic $L$-functions for unitary groups. More precisely, in Harris, Li and Skinner [‘$p$-adic $L$-functions for unitary Shimura varieties. I. Construction of the Eisenstein measure’, Doc. Math.Extra Vol. (2006),
ELLEN EISCHEN, MICHAEL HARRIS, JIANSHU LI, CHRISTOPHER SKINNER   +3 more
doaj   +1 more source

The Ramanujan and Sato–Tate Conjectures for Bianchi modular forms

Forum of Mathematics, Pi
We prove the Ramanujan and Sato–Tate conjectures for Bianchi modular forms of weight at least $2$ . More generally, we prove these conjectures for all regular algebraic cuspidal automorphic representations of $\operatorname {\mathrm {GL}}_2 ...
George Boxer, Frank Calegari, Toby Gee, James Newton, Jack A. Thorne   +4 more
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

Rigid meromorphic cocycles for orthogonal groups

Forum of Mathematics, Sigma
Rigid meromorphic cocycles are defined in the setting of orthogonal groups of arbitrary real signature and constructed in some instances via a p-adic analogue of Borcherds’ singular theta lift.
Lennart Gehrmann, Henri Darmon, Michael Lipnowski   +2 more
doaj   +1 more source

Higher order invariants in the case of compact quotients

Open Mathematics, 2011
Deitmar Anton
doaj   +1 more source

A continued fraction of order twelve

Open Mathematics, 2008
Mahadeva Naika M., Dharmendra B., Shivashankara K.   +2 more
doaj   +1 more source

Physician self-disclosure in primary care: a mixed methods study of GPs' attitudes, skills, and behaviour. [PDF]

Br J Gen Pract, 2015
Allen EC, Arroll B.
europepmc   +1 more source

On the pentose polynucleotide of the pancreas. [PDF]

Biochem J, 1934
Jorpes E.
europepmc   +1 more source