Research Statement Brandon Fodden The central focus of my research is the study of L-functions. A combination of powerful results and fundamental open questions makes this an exciting area in which to do research. The st

Source URL: people.math.carleton.ca

• Bernhard Riemann
• Analytic number theory
• Conjectures
• Field theory
• Algebraic geometry
• Generalized Riemann hypothesis
• Riemann zeta function
• Riemann hypothesis
• Prime number theorem
• Elliptic curve
• Diophantine equation
• Selberg class

PERlon FUNCTIONS AND THE SELBERG ZETA FUNCTION FOR TUE MODULAR GROUP John Lewis and Don Zagier Framingham State College

Source URL: people.mpim-bonn.mpg.de

• Analytic number theory
• Bernhard Riemann
• Automorphic forms
• Selberg trace formula
• Selberg zeta function
• Riemann zeta function
• ArthurSelberg trace formula
• Riemann hypothesis

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

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

On the physical interpretation of the Riemann zeta function, the Rigid Surface Operators in Gauge Theory, the adeles and ideles groups applied to various formulae regarding the Riemann zeta function and the Selberg trace

Source URL: empslocal.ex.ac.uk

• Analytic number theory
• Matrix theory
• Fourier analysis
• Integer sequences
• Number theory
• Riemann hypothesis
• Riemann zeta function
• Matrix
• Fourier transform
• Mathematics
• Mathematical analysis
• Algebra

SELBERG ZETA FUNCTION AND TRACE FORMULA FOR THE BTZ BLACK HOLE PETER A. PERRY AND FLOYD L. WILLIAMS Abstract. A Selberg zeta function is attached to the three-dimensional BTZ black hole, and a trace formula is developed

Source URL: empslocal.ex.ac.uk

• Coordinate systems
• Exponentials
• Hyperbolic function
• Hyperbolic geometry
• Selberg trace formula
• Oblate spheroidal coordinates
• Symbol
• Mathematical analysis
• Mathematics
• Geometry

Fractal supersymmetric QM, geometric probability and the Riemann hypothesis Carlos Castro1 , Jorge Mahecha2 1 Center for Theoretical Studies of Physical Systems,

Source URL: empslocal.ex.ac.uk

• Analytic number theory
• Conjectures
• Meromorphic functions
• Riemann hypothesis
• Riemann zeta function
• Selberg zeta function
• Prime number theorem
• Zeta function regularization
• Zeta function
• Mathematical analysis
• Mathematics
• Number theory

On some mathematical connections concerning the three-dimensional pure quantum gravity with negative cosmological constant, the Selberg zeta-function, the ten-dimensional anomaly cancellations, the vanishing of cosmologi

Source URL: empslocal.ex.ac.uk

• Mathematics
• Riemann zeta function
• Fourier series
• Kloosterman sum
• Symbol
• Kronecker limit formula
• Mathematical analysis
• Analytic number theory
• Complex analysis

Zeta Functions and Associated RH Hypotheses Report on the conference in New York, 29 May — 1 JuneWhat does the extra H stand for?) M. N. Huxley 1. 2.

Source URL: empslocal.ex.ac.uk

• Analytic number theory
• Conjectures
• Hypotheses
• Riemann hypothesis
• Zeta function
• Selberg zeta function
• L-function
• Selberg class
• Dirichlet series
• Mathematical analysis
• Mathematics
• Number theory

c 1999 Society for Industrial and Applied Mathematics SIAM REVIEW Vol. 41, No. 2, pp. 236–266

Source URL: empslocal.ex.ac.uk

• Number theory
• Riemann hypothesis
• Riemann zeta function
• Prime-counting function
• Prime number theorem
• Selberg trace formula
• Branch point
• Orbit
• Dynamical system
• Mathematical analysis
• Mathematics
• Analytic number theory