Floyd L. Williams

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All published works

Action	Title	Year	Authors
+	The Borel Spectral Sequence: Some Remarks and Applications	2023	Hans Rudi Fischer Floyd L. Williams
+	The Weierstrass Sigma and Zeta Functions: Theta Function Connections	2023	Floyd L. Williams
+	The Modular j-Invariant and Powers of Its Cube Root: Enter $$E_8$$ Again	2023	Floyd L. Williams
+	A Dedekind Type Eta Function Attached to the Hecke Group $$\Gamma _{0}(N) $$	2023	Floyd L. Williams
+	More on Logarithmic Corrections to Black Hole Entropy	2023	Floyd L. Williams
+	The Elliptic Functions $$ s n(x, \kappa )$$, $$c n(x, \kappa ) $$, and $$ d n(x, \kappa )$$ of C. Jacobi	2023	Floyd L. Williams
+	Dirichlet and Hecke L-Functions, Sums of Squares, and Some Other Stuff	2023	Floyd L. Williams
+	Some Musings on Theta, Eta, and Zeta	2023	Floyd L. Williams
+	Modular Properties of Theta and Eta	2023	Floyd L. Williams
+	A Theorem of Minkowski: Enter $$E_8$$	2023	Floyd L. Williams
+	Jacobi Type Inversion Formulas	2023	Floyd L. Williams
+	A Theta Function Attached to a Positive Definite Matrix	2023	Floyd L. Williams
+	An Inhomogeneous Epstein Zeta Function	2023	Floyd L. Williams
+	Modular Forms of Non-positive Weight: Exact Formulas and Asymptotics of Their Fourier Coefficients	2023	Floyd L. Williams
+	A Theta and Zeta Function Attached to a Non-compact Symmetric Space: Computation of the One-Loop Effective Potential	2023	Floyd L. Williams
+	An Epstein Zeta Function Attached to A	2023	Floyd L. Williams
+	Minakshisundaram–Pleijel coefficients for non-compact higher rank symmetric spaces	2020	Floyd L. Williams
+ PDF Chat	Solitary waves in the resonant nonlinear Schrödinger equation: Stability and dynamical properties	2020	Floyd L. Williams F. Tsitoura Theodoros P. Horikis P. G. Kevrekidis
+	Solitary waves in the resonant nonlinear Schrödinger equation: stability and dynamical properties	2020	Floyd L. Williams F. Tsitoura Theodoros P. Horikis P. G. Kevrekidis
+	Exploring a Cold Plasma-2d Black Hole Connection	2019	Floyd L. Williams
+	Exploring a cold plasma-2d black hole connection	2019	Floyd L. Williams
+	Exploring a cold plasma-2d black hole connection	2019	Floyd L. Williams
+ PDF Chat	On the Dimension of Spaces of Automorphic Cohomology	2018	Floyd L. Williams
+	Elliptic function solutions in Jackiw-Teitelboim dilaton gravity	2017	Jennie D’Ambroise Floyd L. Williams
+ PDF Chat	Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity	2017	Jennie D’Ambroise Floyd L. Williams
+	Elliptic function solutions in Jackiw-Teitelboim dilaton gravity	2017	Jennie D’Ambroise Floyd L. Williams
+ PDF Chat	Parking Sensing and Information System: Sensors, Deployment, and Evaluation	2016	Xiaohong Chen Sean Qian Ram Rajagopal Todd Stiers Christopher Flores Robert Kavaler Floyd L. Williams
+ PDF Chat	Zeta functions on tori using contour integration	2014	E. Elizalde Klaus Kirsten Nicolas Robles Floyd L. Williams
+	Remainder formula and zeta expression for extremal CFT partition functions	2014	Floyd L. Williams
+	The sine-Gordon model and its applications : from pendula and Josephson junctions to gravity and high-energy physics	2014	Jesús Cuevas–Maraver P. G. Kevrekidis Floyd L. Williams
+ PDF Chat	BRST-INVARIANT DEFORMATIONS OF GEOMETRIC STRUCTURES IN TOPOLOGICAL FIELD THEORIES	2013	A. A. Bytsenko Масуд Чайчиан Anca Tureanu Floyd L. Williams
+	Parametric Solution Of Certain Nonlinear Differential Equations In Cosmology II	2012	Jennie D’Ambroise Floyd L. Williams
+ PDF Chat	Parametric Solution of Certain Nonlinear Differential Equations in Cosmology	2011	Jennie D’Ambroise Floyd L. Williams
+ PDF Chat	ON GENERALIZED MONOPOLE SPHERICAL HARMONICS AND THE WAVE EQUATION OF A CHARGED MASSIVE KERR BLACK HOLE	2010	Shabnam Beheshti Floyd L. Williams
+ PDF Chat	A dynamic correspondence between Bose–Einstein condensates and Friedmann–Lemaître–Robertson–Walker and Bianchi I cosmology with a cosmological constant	2010	Jennie D’Ambroise Floyd L. Williams
+	Lectures on zeta functions, L-functions and modular forms with some physical applications	2010	Floyd L. Williams
+	A resolvent trace formula for the BTZ black hole with conical singularity	2008	Floyd L. Williams
+ PDF Chat	Explicit soliton–black hole correspondence for static configurations	2007	Shabnam Beheshti Floyd L. Williams
+ PDF Chat	From Feshbach-resonance managed Bose–Einstein condensates to anisotropic universes: Applications of the Ermakov–Pinney equation with time-dependent nonlinearity	2007	G. Herring P. G. Kevrekidis Floyd L. Williams T. Christodoulakis D. J. Frantzeskakis
+ PDF Chat	Remarks on the Spectrum and Truncated Heat Kernel of the BTZ Black Hole	2007	A. A. Bytsenko M. E. X. Guimarães Floyd L. Williams
+	A non-linear Schrodinger type formulation of FLRW scalar field cosmology	2006	Jennie D’Ambroise Floyd L. Williams
+	Spectral Functions for BTZ Black Hole Geometry	2006	A. A. Bytsenko M. E. X. Guimarães Floyd L. Williams
+	Localization of Equivariant Cohomology for Compact and Non-Compact Group Actions	2005	A. A. Bytsenko Matvei Libine Floyd L. Williams
+	Localization of Equivariant Cohomology for Compact and Non-compact Group Actions	2005	A. A. Bytsenko Matvei Libine Floyd L. Williams
+	BTZ black hole and Jacobi inversion for fundamental domains of infinite volume	2005	Floyd L. Williams
+	On 3+1 Dimensional Scalar Field Cosmologies	2004	Floyd L. Williams P. G. Kevrekidis T. Christodoulakis C. Helias G. Papadopoulos Th. Grammenos
+ PDF Chat	Forms on Vector Bundles Over Compact Real Hyperbolic Manifolds	2003	A. A. Bytsenko A. E. Gonçalves Floyd L. Williams
+ PDF Chat	Coupling fields and underlying space curvature: An augmented Lagrangian approach	2003	P. G. Kevrekidis Floyd L. Williams A. R. Bishop Ioannis G. Kevrekidis B. A. Malomed
+ PDF Chat	Euclidean Path Integrals	2003	Floyd L. Williams
+	The Density Matrix and Partition Function in Quantum Statistical Mechanics	2003	Floyd L. Williams
+	Hypergeometric Equations and Special Functions	2003	Floyd L. Williams
+	Remarks on harmonic maps, solitons, and dilaton gravity	2003	Floyd L. Williams
+	The Zeta Function of a Product of Laplace Operators and the Multiplicative Anomaly for XdΓ	2003	Floyd L. Williams
+	Fresnel Integrals and Feynman Integrals	2003	Floyd L. Williams
+	Helmholtz Free Energy for Certain Negatively Curved Space-Times, and the Selberg Trace Formula	2003	Floyd L. Williams
+	Heat coefficients for p-forms on hyperbolic space	2002	Floyd L. Williams
+ PDF Chat	LOCALIZATION OF EQUIVARIANT COHOMOLOGY – INTRODUCTORY AND EXPOSITORY REMARKS	2001	A. A. Bytsenko Floyd L. Williams
+ PDF Chat	CHERN–SIMONS INVARIANTS OF CLOSED HYPERBOLIC THREE-MANIFOLDS	2000	A. A. Bytsenko A. E. Gonçalves Floyd L. Williams
+	Chern-Simons Invariants of Closed Hyperbolic 3-Manifolds	2000	A. A. Bytsenko A. E. Gonçalves Floyd L. Williams
+ PDF Chat	A BGG type resolution of holomorphic Verma modules	1999	Floyd L. Williams
+ PDF Chat	Anomalies and analytic torsion on hyperbolic manifolds	1999	A. A. Bytsenko A. E. Gonçalves M. Simões Floyd L. Williams
+ PDF Chat	Asymptotics of the heat kernel on rank-1 locally symmetric spaces	1999	A. A. Bytsenko Floyd L. Williams
+ PDF Chat	Zeta-function regularization and the thermodynamic potential for quantum fields in symmetric spaces	1998	Iver Brevik A. A. Bytsenko A. E. Gonçalves Floyd L. Williams
+ PDF Chat	Zeta functions on a product of Einstein manifolds, and the multiplicative anomaly	1998	Andrei A. Bytsenko Floyd L. Williams
+ PDF Chat	THE CONFORMAL ANOMALY IN GENERAL RANK 1 SYMMETRIC SPACES AND ASSOCIATED OPERATOR PRODUCT	1998	A. A. Bytsenko A. E. Gonçalves Floyd L. Williams
+	Meromorphic continuation of Minakshisundaram–Pleijel series for semisimple Lie groups	1998	Floyd L. Williams
+	The role of Selberg’s trace formula in the computation of Casimir energy for certain Clifford-Klein space-times	1997	Floyd L. Williams
+ PDF Chat	Product Einstein Manifolds, Zeta-Function Regularization and the Multiplicative Anomaly	1997	Andrei A. Bytsenko Floyd L. Williams
+ PDF Chat	Spectral zeta series of rank 1 space forms	1995	Floyd L. Williams
+	A factorization of the selberg zeta function attached to a rank 1 space form	1992	Floyd L. Williams
+	Periodic zeta functions for rank 1 space forms of symmetric spaces	1992	L. Barchini Floyd L. Williams
+	Some Zeta Functions Attached to Γ\G/K	1992	Floyd L. Williams
+	History and variation on the theme of the frobenius reciprocity theorem	1991	Floyd L. Williams
+	Spectral multiplicity of derived functor modules	1991	Floyd L. Williams
+	Lectures on the spectrum of L[2](Γ\G)	1991	Floyd L. Williams
+	The n-cohomology of limits of discrete series	1988	Floyd L. Williams
+	Unitary representations and a general vanishing theorem for (0,r)-cohomology	1988	Floyd L. Williams
+	Note on a theorem of H. Moscovici	1987	Floyd L. Williams
+	On the finiteness of the L2-automorphic cohomology of a flag domain	1987	Floyd L. Williams
+	A Solution of Warner's 3rd Problem for Representations of Holomorphic Type	1986	Floyd L. Williams
+ PDF Chat	A solution of Warner’s 3rd problem for representations of holomorphic type	1986	Floyd L. Williams
+	Finite spaces of nonclassical Poincaré theta series	1986	Floyd L. Williams
+	The heat kernel on the two-sphere	1985	Hans Rudi Fischer Jerry J. Jungster Floyd L. Williams
+ PDF Chat	Almost paracontact and parahodge structures on manifolds	1985	Soji Kaneyuki Floyd L. Williams
+ PDF Chat	Formula for the Casimir Operator in Iwasawa Coordinates	1985	Floyd L. Williams
+	Discrete Series Multiplicities in L 2 (Γ\G) (II) Proof of Langland's Conjecture	1985	Floyd L. Williams
+	Note on duality on polarized symplectic manifolds	1984	Hans Rudi Fischer Floyd L. Williams
+	The heart kernel on the two-sphere	1984	Hans Rudi Fischer Jerry J. Jungster Floyd L. Williams
+	Discrete Series Multiplicities in L 2 (Γ\G)	1984	Floyd L. Williams
+ PDF Chat	Borel-LePotier diagrams---calculus of their cohomology bundles	1984	Hans Rudi Fischer Floyd L. Williams
+	Some new results on L$^2(\Gamma \setminus$G) multiplicities	1983	Floyd L. Williams
+	Vanishing theorems for type (0,q) cohomology of locally symmetric spaces. II	1983	Floyd L. Williams
+	Solution of a conjecture of Langlands	1983	Floyd L. Williams
+	Unitarizable highest weight modules of the conformal group	1982	Floyd L. Williams
+	Remarks on the unitary representations appearing in the Matsushima-Murakami formula	1981	Floyd L. Williams
+	Lie algebra cohomology of infinite-dimensional modules	1980	Floyd L. Williams
+ PDF Chat	Complex-Foliated Structures. I. Cohomology of the Dolbeault-Kostant Complexes	1979	Hans Rudi Fischer Floyd L. Williams
+ PDF Chat	Complex-foliated structures. I. Cohomology of the Dolbeault-Kostant complexes	1979	Hans Rudi Fischer Floyd L. Williams
+ PDF Chat	The Cohomology of Semisimple Lie Algebras with Coefficients in a Verma Module	1978	Floyd L. Williams
+ PDF Chat	The cohomology of semisimple Lie algebras with coefficients in a Verma module	1978	Floyd L. Williams
+ PDF Chat	Topological Irreducibility of Nonunitary Representations of Group Extensions	1977	Floyd L. Williams
+ PDF Chat	Topological irreducibility of nonunitary representations of group extensions	1977	Floyd L. Williams
+	Complex homogeneous bundles and finite-dimensional representation theory	1977	Floyd L. Williams
+	Laplace Operators and the h Module Structure of Certain Cohomology Groups	1974	Floyd L. Williams
+ PDF Chat	Laplace operators and the 𝔥 module structure of certain cohomology groups	1974	Floyd L. Williams
+	The tensor product of principal series representations of a complex semi-simple Lie group	1973	Floyd L. Williams
+	Representations induced by characters of a subgroup of the Cartan subgroup	1973	Floyd L. Williams
+	Preliminaries on induced representations	1973	Floyd L. Williams
+	Tensor products of principal series representations: reduction of tensor products of principal series;: Representations of complex semisimple Lie groups	1973	Floyd L. Williams

Common Coauthors

Coauthor	Papers Together
A. A. Bytsenko	13
Jennie D’Ambroise	7
Hans Rudi Fischer	7
A. E. Gonçalves	6
P. G. Kevrekidis	3
P. G. Kevrekidis	3
F. Tsitoura	2
Jerry J. Jungster	2
Matvei Libine	2
Shabnam Beheshti	2
T. Christodoulakis	2
Theodoros P. Horikis	2
Andrei A. Bytsenko	2
M. E. X. Guimarães	2
G. Papadopoulos	1
D. J. Frantzeskakis	1
Todd Stiers	1
Nicolas Robles	1
Christopher Flores	1
Klaus Kirsten	1
A. R. Bishop	1
Jesús Cuevas–Maraver	1
B. A. Malomed	1
E. Elizalde	1
Anca Tureanu	1
L. Barchini	1
Sean Qian	1
Soji Kaneyuki	1
Th. Grammenos	1
Xiaohong Chen	1
M. Simões	1
G. Herring	1
Ram Rajagopal	1
Robert Kavaler	1
Iver Brevik	1
Масуд Чайчиан	1
C. Helias	1
Ioannis G. Kevrekidis	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the Selberg trace formula in the case of compact quotient	1976	Nolan R. Wallach	9
+	Differential Geometry and Symmetric Spaces	2001	Sigurđur Helgason	8
+	Lie Algebra Cohomology and the Generalized Borel-Weil Theorem	1961	Bertram Kostant	8
+	Lie Algebra Cohomology and the Generalized Borel-Weil Theorem	2009	Bertram Kostant	8
+ PDF Chat	Quantum fields and extended objects in space-times with constant curvature spatial section	1996	Andrei A. Bytsenko Guido Cognola Luciano Vanzo Sergio Zerbini	7
+ PDF Chat	Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds	1949	S. Minakshisundaram Åke Pleijel	7
+ PDF Chat	The Minakshisundaram-Pleijel coefficients for the vector-valued heat kernel on compact locally symmetric spaces of negative curvature	1980	Roberto J. Miatello	7
+	Meromorphic continuation of Minakshisundaram–Pleijel series for semisimple Lie groups	1998	Floyd L. Williams	7
+	Cohomology of Lie Algebras	1953	G. Hochschild J-P. Serre	6
+ PDF Chat	Locally homogeneous complex manifolds	1969	Phillip Griffiths Wilfried Schmid	6
+ PDF Chat	RESONANCE SOLITONS AS BLACK HOLES IN MADELUNG FLUID	2002	Oktay K. Pashaev Jyh-Hao Lee	5
+ PDF Chat	Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method	2007	J.-H. Lee Oktay K. Pashaev	5
+ PDF Chat	Zeta functions of Selberg's type for compact space forms of symmetric spaces of rank one	1977	Ramesh Gangolli	5
+ PDF Chat	Length spectrum for compact locally symmetric spaces of strictly negative curvature	1977	David L. DeGeorge	5
+	Analytic torsion and closed geodesics on hyperbolic manifolds	1986	David Fried	5
+	On the Plancherel measure for linear Lie groups of rank one	1979	Roberto J. Miatello	5
+	Quantization and unitary representations	1970	Bertram Kostant	5
+ PDF Chat	The dirac operator and gravitation	1995	Daniel Kastler	4
+ PDF Chat	Gravity, non-commutative geometry and the Wodzicki residue	1995	Wolfgang Kalau M. Walze	4
+	On a Conjecture of Langlands	1971	Wilfried Schmid	4
+	Multiplicity formulae for discrete series	1974	R. Hotta R. Parthasarathy	4
+ PDF Chat	The Dimension of Spaces of Automorphic Forms	1963	R. P. Langlands	4
+ PDF Chat	Zeta functions of Selberg’s type for some noncompact quotients of symmetric spaces of rank one	1980	Ramesh Gangolli Garth Warner	4
+	Zeta Regularization Techniques with Applications	1994	E. Elizalde Sergei D. Odintsov August Romeo A. A. Bytsenko Sergio Zerbini	4
+ PDF Chat	Product Einstein Manifolds, Zeta-Function Regularization and the Multiplicative Anomaly	1997	Andrei A. Bytsenko Floyd L. Williams	4
+ PDF Chat	Spectral functions, special functions and the Selberg zeta function	1987	A. Voros	4
+ PDF Chat	Zeta-Function Regularization, the Multiplicative Anomaly and the Wodzicki Residue	1998	E. Elizalde Luciano Vanzo Sergio Zerbini	4
+ PDF Chat	Cosmic dynamics of Bose–Einstein condensates	2004	James E. Lidsey	4
+	Homogeneous Vector Bundles	1957	Raoul Bott	4
+	Zeta functions of Selberg's type associated with homogeneous vector bundles	1985	Masato Wakayama	4
+ PDF Chat	Discrete series for semisimple Lie groups. II: Explicit determination of the characters	1966	Harish-chandra Harish-Chandra	4
+ PDF Chat	Geometry of determinants of elliptic operators	1995	Maxim Kontsevich S. M. Vishik	4
+	Determinants of elliptic pseudo-differential operators	1994	Maxim Kontsevich S. M. Vishik	4
+ PDF Chat	On the Functional Equations Satisfied by Eisenstein Series	1976	R. P. Langlands	4
+ PDF Chat	Gravity coupled with matter and the foundation of non-commutative geometry	1996	Alain Connes	4
+	A factorization of the selberg zeta function attached to a rank 1 space form	1992	Floyd L. Williams	4
+ PDF Chat	The action functional in non-commutative geometry	1988	Alain Connes	4
+ PDF Chat	THE CONFORMAL ANOMALY IN GENERAL RANK 1 SYMMETRIC SPACES AND ASSOCIATED OPERATOR PRODUCT	1998	A. A. Bytsenko A. E. Gonçalves Floyd L. Williams	4
+ PDF Chat	Non-Commutative Geometry	1988	Alain Connes	4
+ PDF Chat	An asymptotic formula of Gelfand and Gangolli for the spectrum of $G\backslash G$	1976	Nolan R. Wallach	3
+	Selberg type zeta functions for the group of complex two by two matrices of determinant one	1980	David A. Scott	3
+	Upper Bounds on the Number of Resonances for Non-compact Riemann Surfaces	1995	Laurent Guillopé	3
+	Heat Kernels and Dirac Operators	1992	Nicole Berline Ezra Getzler Michèle Vergne	3
+	L2-index and the Selberg trace formula	1983	Dan Barbasch Henri Moscovici	3
+	On the variation in the cohomology of the symplectic form of the reduced phase space	1982	J. J. Duistermaat Gerrit Heckman	3
+	Ermakov-Pinney equation in scalar field cosmologies	2002	Rachael M. Hawkins James E. Lidsey	3
+	On Vector Bundle Valued Harmonic Forms and Automorphic Forms on Symmetric Riemannian Manifolds	1963	YOZÔ MATSUSHIMA Shingo Murakami	3
+ PDF Chat	Exact path integrals by equivariant localization	1993	Hans Dykstra Joseph Lykken Eric Raiten	3
+ PDF Chat	Thermodynamics of the two-dimensional black hole in the Teitelboim-Jackiw theory	1996	José P. S. Lemos	3
+ PDF Chat	Universal Formula for Noncommutative Geometry Actions: Unification of Gravity and the Standard Model	1996	Ali H. Chamseddine Alain Connes	3