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Integral Representations of the Logarithmic Derivative of the Selberg Zeta Function [PDF]

, 2010
AMS Subj. Classification: MSC2010: 11F72, 11M36, 58J37We point out the importance of the integral representations of the logarithmic derivative of the Selberg zeta function valid up to the critical line, i.e.
Gušić, Dženan
core  

A generalized $\mathrm{PGL}(2)$ Petersson/Bruggeman-Kuznetsov formula for analytic applications

Forum of Mathematics, Sigma
We develop generalized Petersson/Bruggeman-Kuznetsov (PBK) formulas for specified local components at non-archimedean places. In fact, we introduce two hypotheses on non-archimedean test function pairs $f \leftrightarrow \pi (f)$ , called geometric
Yueke Hu, Ian Petrow, Matthew P. Young
doaj   +1 more source

Theta functions, fourth moments of eigenforms and the sup-norm problem II

Forum of Mathematics, Pi
Let f be an $L^2$ -normalized holomorphic newform of weight k on $\Gamma _0(N) \backslash \mathbb {H}$ with N squarefree or, more generally, on any hyperbolic surface $\Gamma \backslash \mathbb {H}$ attached to an Eichler order of ...
Ilya Khayutin, Paul D. Nelson, Raphael S. Steiner   +2 more
doaj   +1 more source

Analytic continuation of resolvent kernels on noncompact symmetric spaces

, 2005
. Let X = G/K be a symmetric space of noncompact type and let ∆ be the Laplacian associated with a G-invariant metric on X. We show that the resolvent kernel of ∆ admits a holomorphic extension to a Riemann surface depending on the rank of the symmetric ...
Alexander Strohmaier
core  

Cryptogenic stroke and small fiber neuropathy of unknown etiology in patients with alpha-galactosidase A -10T genotype. [PDF]

Orphanet J Rare Dis, 2014
Schelleckes M, Lenders M, Guske K, Schmitz B, Tanislav C, Ständer S, Metze D, Katona I, Weis J, Brand SM, Duning T, Brand E.   +11 more
europepmc   +1 more source

Applications of the Kuznetsov formula on GL(3). [PDF]

Invent Math, 2013
Blomer V.
europepmc   +1 more source

Divergent effects of epidermal growth factor and calcipotriol on human rectal cell proliferation. [PDF]

Gut, 1994
Thomas MG, Brown GR, Alison MR, Williamson RC.   +3 more
europepmc   +1 more source

Trace formulae and applications to class numbers

Open Mathematics, 2014
Raulf Nicole
doaj   +1 more source

Studies on carotenoids: An isomeride of lutein isolated from the furze (Ulex europaeus). [PDF]

Biochem J, 1936
Schön K.
europepmc   +1 more source

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Geodesics in homology classes

Duke Mathematical Journal, 1987
Peter Sarnak
exaly