ETA INVARIANT AND SELBERG ZETA FUNCTION OF ODD TYPE OVER CONVEX CO-COMPACT HYPERBOLIC MANIFOLDS COLIN GUILLARMOU, SERGIU MOROIANU, AND JINSUNG PARK Abstract. We show meromorphic extension and give a complete description

Source URL: www.math.ens.fr

SELBERG’S CENTRAL LIMIT THEOREM FOR log |ζ( 21 + it)| MAKSYM RADZIWILL AND K. SOUNDARARAJAN 1. Introduction In this paper we give a new and simple proof of Selberg’s influential theorem [8, 9] that log |ζ( 21 + it)

Source URL: math.rutgers.edu

LARGE DEVIATIONS IN SELBERG’S CENTRAL LIMIT THEOREM MAKSYM RADZIWIÃLL Ã Abstract. Following Selberg [10] it is known that as T → ∞, ½ ¾ Z ∞

Source URL: math.rutgers.edu

What is Abel’s Theorem Anyway? (Steven Kleiman) Selberg: “It still stands for me as pure magic. Neither with Gauss nor Riemann, nor with anybody else, have I found anything that really

Source URL: www.hyperelliptic.org

• Mathematics
• Algebra
• Differentiation rules
• Ordinary differential equations
• Mathematical identities
• Linear algebra
• Integral calculus
• Secondary measure
• 2 2 real matrices

GENERALIZED KREIN FORMULA, DETERMINANTS AND SELBERG ZETA FUNCTION IN EVEN DIMENSION COLIN GUILLARMOU Abstract. For a class of even dimensional asymptotically hyperbolic (AH) manifolds, we develop a generalized Birman-Kre

Source URL: www.math.ens.fr

Uniform Distribution of Zeros of Dirichlet Series Amir Akbary and M. Ram Murty∗ Abstract We consider a class of Dirichlet series which is more general than the Selberg class. Dirichlet series in this class, have meromo

Source URL: www.cs.uleth.ca

FOTKIRURGI Linda Selberg Fotsektionen Ortopedkliniken UAS

Source URL: www.lul.se

The hypoelliptic Laplacian by Jean-Michel Bismut If X is a Riemannian manifold, the Laplacian is a second order elliptic operator on X. The hypoelliptic Laplacian Lb is a a family of operators acting on the total space X

Source URL: www.mi.uni-koeln.de

• Hypoelliptic operator
• Laplace operator
• Elliptic operator
• Geodesic
• Selberg trace formula
• Mathematical analysis
• Calculus
• Differential operators

Review of SL2 (R) by Serge Lang Given the formalism of quantum mechanics, the study of those of its laws which are invariant under the Lorentz group inevitably leads to infinite-dimensional representations of both the ho

Source URL: www.sunsite.ubc.ca

• Representation theory of Lie groups
• Representation theory
• Automorphic form
• SL2
• Discrete series representation
• Unitary representation
• Selberg trace formula
• Matrix coefficient
• Representation theory of SL2
• Abstract algebra
• Group theory
• Mathematical analysis

Shimura varieties and the Selberg trace formula * R.P. Langlands This paper is a report on work in progress rather than a description of theorems which have attained their final form. The results I shall describe are par

Source URL: www.sunsite.ubc.ca

• Mathematics
• Analytic number theory
• Algebraic geometry
• Shimura variety
• Selberg trace formula
• Explicit formula
• Representation theory
• Modular form
• Arthur–Selberg trace formula
• Mathematical analysis
• Abstract algebra
• Automorphic forms