Audrey Terras

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All published works

Action	Title	Year	Authors
+	Vector Spaces and Finite Fields	2018	Audrey Terras
+	The General Noncompact Symmetric Space	2016	Audrey Terras
+	The Space $$\mathcal{P}_{n}$$ of Positive n × n Matrices	2016	Audrey Terras
+	Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane	2013	Audrey Terras
+	A Compact Symmetric Space: The Sphere	2013	Audrey Terras
+	The Poincaré Upper Half-Plane	2013	Audrey Terras
+	Flat Space: Fourier Analysis on $${\mathbb{R}}^{m}$$	2013	Audrey Terras
+	Zeta functions of graphs: a stroll through the garden	2011	Audrey Terras
+ PDF	Looking into a graph theory mirror of number theoretic zetas	2011	Audrey Terras
+	Behavior of primes in coverings	2010	Audrey Terras
+	Ihara zeta function and the graph theory prime number theorem	2010	Audrey Terras
+	Fundamental theorem of Galois theory	2010	Audrey Terras
+	Graph theory prime number theorem	2010	Audrey Terras
+	Edge Artin <i>L</i>-functions	2010	Audrey Terras
+	How to construct intermediate coverings using the Frobenius automorphism	2010	Audrey Terras
+	A quick look at various zeta functions	2010	Audrey Terras
+	Finite unramified coverings and Galois groups	2010	Audrey Terras
+	Edge and path zeta functions	2010	Audrey Terras
+	Riemann zeta function and other zetas from number theory	2010	Audrey Terras
+	Selberg zeta function	2010	Audrey Terras
+	Regular graphs, location of poles of the Ihara zeta, functional equations	2010	Audrey Terras
+	Finite unramified Galois coverings of connected graphs	2010	Audrey Terras
+	Final research problems	2010	Audrey Terras
+	Edge zeta functions	2010	Audrey Terras
+	Zeta Functions of Graphs	2010	Audrey Terras
+	Siegel poles	2010	Audrey Terras
+	Frobenius automorphisms	2010	Audrey Terras
+	Discussion of regular Ramanujan graphs	2010	Audrey Terras
+	Explicit formulas	2010	Audrey Terras
+	Preface	2010	Audrey Terras
+	Path zeta functions	2010	Audrey Terras
+	Ihara zeta function	2010	Audrey Terras
+	Ihara zeta function of a weighted graph	2010	Audrey Terras
+	Irregular graphs: what is the Riemann hypothesis?	2010	Audrey Terras
+	Non-isomorphic regular graphs without loops or multiedges having the same Ihara zeta function	2010	Audrey Terras
+	Zeta functions and chaos	2010	Audrey Terras
+ PDF	Zeta functions of weighted graphs and covering graphs	2008	Matthew Horton H. M. Stark Audrey Terras
+ PDF	Zeta functions of finite graphs and coverings, III	2006	Audrey Terras H. Stärk
+ PDF	Fourier expansions of complex-valued Eisenstein series on finite upper half planes	2006	Anthony Shaheen Audrey Terras
+	The contest between the kernels in the Selberg trace formula for the (𝑞+1)-regular tree	2006	Matthew Horton Derek B. Newland Audrey Terras
+ PDF	What are zeta functions of graphs and what are they good for?	2006	Matthew Horton H. M. Stark Audrey Terras
+	Zeta Functions of Heisenberg Graphs over Finite Rings	2005	Michelle DeDeo M. C. Crespo Martínez A. Medrano Marvin Minei Harold Stark Audrey Terras
+	Zeta functions of graph coverings	2004	H. Stärk Audrey Terras
+	Comparison of Selberg’s trace formula with its discrete analogues	2004	Audrey Terras
+	Spectra of Heisenberg graphs over finite rings	2003	Michelle DeDeo M. C. Crespo Martínez A. Medrano Marvin Minei H. Stärk Audrey Terras
+ PDF	Selberg′s trace formula on the <i>k</i>‐regular tree and applications	2003	Audrey Terras Dorothy Wallace
+	Finite Quantum Chaos	2002	Audrey Terras
+	Spectra of Heisenberg Graphs over Finite Rings: Histograms, Zeta Functions and Butterßies	2002	Michelle DeDeo M. C. Crespo Martínez A. Medrano Marvin Minei Harold Stark Audrey Terras
+ PDF	Some Ramanujan hypergraphs associated to $GL(n,\mathbb {F}_q)$	2000	Marı́a G Martı́nez Harold Stark Audrey Terras
+	STATISTICS OF GRAPH SPECTRA FOR SOME FINITE MATRIX GROUPS: FINITE QUANTUM CHAOS	2000	Audrey Terras
+	Zeta Functions of Finite Graphs and Coverings, Part II	2000	H. Stärk Audrey Terras
+	Congruences and the Quotient Ring of the Integers mod n	1999	Audrey Terras
+	Trace Formula For a Tree and Ihara's Zeta Function	1999	Audrey Terras
+	Fourier Transform and Representations of Finite Groups	1999	Audrey Terras
+	The Finite <i>ax</i> + <i>b</i> Group	1999	Audrey Terras
+	Finite Symmetric Spaces–Finite Upper Half Plane <i>H</i><sub> <i>q</i> </sub>	1999	Audrey Terras
+	The Poisson Sum Formula on a Finite Abelian Group	1999	Audrey Terras
+	Applications in Geometry and Analysis. Connections between Continuous and Finite Problems. Dido's Problem for Polygons	1999	Audrey Terras
+	Special Functions on <i>H</i><sub> <i>q</i> </sub> – <i>K</i>-Bessel and Spherical	1999	Audrey Terras
+	Finite Nonabelian Groups	1999	Audrey Terras
+	Selberg's Trace Formula and Isospectral Non-isomorphic Graphs	1999	Audrey Terras
+	Fourier Analysis on Finite Groups and Applications	1999	Audrey Terras
+	Graphs of ℤ/<i>n</i>ℤ, Adjacency Operators, Eigenvalues	1999	Audrey Terras
+	The Trace Formula on Finite Upper Half Planes	1999	Audrey Terras
+	Finite Euclidean Graphs and Three Questions about Their Spectra	1999	Audrey Terras
+	A Survey of Discrete Trace Formulas	1999	Audrey Terras
+ PDF	Finite Euclidean graphs over rings	1998	A. Medrano P. Myers H. Stärk Audrey Terras
+	Zeta Functions of Finite Graphs and Coverings	1996	H. Stärk Audrey Terras
+	Finite analogues of Euclidean space	1996	A. Medrano P. Myers H. Stärk Audrey Terras
+ PDF	Survey of Spectra of Laplacians on Finite Symmetric Spaces	1996	Audrey Terras
+ PDF	Book Review: Families of automorphic forms	1996	Audrey Terras
+	Graph spectra for finite upper half planes over rings	1995	Jeff Angel Cindy Trimble B. Shook Audrey Terras
+	Spherical functions and transforms on finite upper half planes: eigenvalues of the combinatorial Laplacian, uncertainty, traces	1994	Jeff Angel Steve Poulos Audrey Terras Cindy Trimble Elinor Velasquez
+	Are finite upper half plane graphs Ramanujan?	1993	Audrey Terras
+	Is there life on finite upper half planes?	1993	Nancy Celniker Steven Poulos Audrey Terras Cindy Trimble Elinor Velasquez
+	Special functions on finite upper half planes	1992	Jeff Angel Nancy Celniker Steve Poulos Audrey Terras Cindy Trimble Elinor Velasquez
+	Special functions on finite upper half planes	1992	Jeff Angel Nancy Celniker Steve Poulos Audrey Terras Cindy Trimble Elinor Velasquez
+	The central limit theorem for the symmetric space of GL(3)	1989	Audrey Terras
+	Convergence to uniform on the finite heisenberg group and applications to random number generators	1989	Maria Russell Zack Audrey Terras
+	The General Noncompact Symmetric Space	1988	Audrey Terras
+	Harmonic Analysis on Symmetric Spaces and Applications II	1988	Audrey Terras
+	Asymptotics of special functions and the central limit theorem on the space ℘n of positive n × n matrices	1987	Audrey Terras
+ PDF	Hecke operators and the fundamental domain for 𝑆𝐿(3,𝑍)	1987	Daniel M. Gordon Douglas Grenier Audrey Terras
+	Hecke Operators and the Fundamental Domain for SL(3, Z )	1987	Daniel Gordon Douglas Grenier Audrey Terras
+	The Selberg Trace Formula and Related Topics	1986	Dennis A. Hejhal Peter Sarnak Audrey Terras
+	Some simple aspects of the theory of automorphic forms for 𝐺𝐿(𝑛,𝑍)	1986	Audrey Terras
+ PDF	The Chowla-Selberg Method for Fourier Expansion of Higher Rank Eisenstein Series	1985	Audrey Terras
+	Harmonic Analysis on Symmetric Spaces and Applications I	1985	Audrey Terras
+	Special Functions for the Symmetric Space of Positive Matrices	1985	Audrey Terras
+	Flat Space. Fourier Analysis on ℝm	1985	Audrey Terras
+	The Poincaré Upper Half-Plane	1985	Audrey Terras
+	Harmonic Analysis on Symmetric Spaces and Applications I	1985	Audrey Terras
+	Noneuclidean harmonic analysis, the central limit theorem, and long transmission lines with random inhomogeneities	1984	Audrey Terras
+	The Fourier Expansion of Eisenstein Series for GL(3,Z)	1982	K. Imai Audrey Terras
+	Noneuclidean Harmonic Analysis	1982	Audrey Terras
+ PDF	On automorphic forms for the general linear group	1982	Audrey Terras
+ PDF	The Fourier expansion of Eisenstein series for ${\rm GL}(3,\,{\bf Z})$	1982	Kaori Imai Audrey Terras
+	Analysis on positive matrices as it might have occurred to Fourier	1981	Audrey Terras
+ PDF	Integral formulas and integral tests for series of positive matrices	1980	Audrey Terras
+	The minima of quadratic forms and the behavior of Epstein and Dedekind zeta functions	1980	Audrey Terras
+ PDF	Real zeroes of Epstein's zeta function for ternary positive definite quadratic forms	1979	Audrey Terras
+	Applications of special functions for the general linear group to number theory	1977	Audrey Terras
+ PDF	The Fourier expansion of Epstein's zeta function over an algebraic number field and its consequences for algebraic number theory	1977	Audrey Terras
+ PDF	The Fourier expansion of Epstein's zeta function for totally real algebraic number fields and some consequences for Dedekind's zeta function	1976	Audrey Terras
+ PDF	Some formulas for the Riemann zeta function at odd integer argument resulting from Fourier expansions of the Epstein zeta function	1976	Audrey Terras
+	Fourier Coefficients of Eisenstein Series of One Epstein Series of One Complex Variable for the Special Linear Group	1975	Audrey Terras
+ PDF	Fourier coefficients of Eisenstein series of one complex variable for the special linear group	1975	Audrey Terras
+ PDF	Bessel Series Expansions of the Epstein Zeta Function and the Functional Equation	1973	Audrey Terras
+ PDF	Bessel series expansions of the Epstein zeta function and the functional equation	1973	Audrey Terras
+ PDF	Functional Equations of Generalized Epstein Zeta Functions in Several Complex Variables	1971	Audrey Terras
+ PDF	A Generalization of Epstein’s Zeta Function	1971	Audrey Terras

Common Coauthors

Coauthor	Papers Together
H. Stärk	7
Cindy Trimble	5
A. Medrano	5
Elinor Velasquez	4
Jeff Angel	4
Michelle DeDeo	3
Steve Poulos	3
Marvin Minei	3
M. C. Crespo Martínez	3
Matthew Horton	3
Harold Stark	3
P. Myers	2
Nancy Celniker	2
Douglas Grenier	2
H. M. Stark	2
Dorothy Wallace	1
Steven Poulos	1
Kaori Imai	1
Nancy Celniker	1
K. Imai	1
Derek B. Newland	1
B. Shook	1
Daniel M. Gordon	1
Anthony Shaheen	1
Dennis A. Hejhal	1
Maria Russell Zack	1
Daniel Gordon	1
Marı́a G Martı́nez	1
Peter Sarnak	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series	1956	Atle Selberg	15
+	Harmonic Analysis on Symmetric Spaces and Applications I	1985	Audrey Terras	15
+ PDF	Siegel's Modular Forms and Dirichlet Series	1971	Hans Maaß	15
+	Ramanujan graphs	1988	Alexander Lubotzky Ralph S. Phillips Peter Sarnak	12
+ PDF	Zeta functions of finite graphs and coverings, III	2006	Audrey Terras H. Stärk	12
+	Differential Geometry and Symmetric Spaces	2001	Sigurđur Helgason	11
+ PDF	Geometry and Spectra of Compact Riemann Surfaces	2010	Peter Buser	10
+	Zeta Functions of Finite Graphs and Coverings	1996	H. Stärk Audrey Terras	10
+	Fourier Analysis on Finite Groups and Applications	1999	Audrey Terras	10
+	Algebraic groups and Discontinuous Subgroups	1966	Armand Borel G. D. Mostow	10
+	Elementary theory of Eisenstein series	1973	富雄久保田	10
+	Generalization of Hecke's Correspondence to Siegel Modular Forms	1980	Kaori Imai	9
+	�ber eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichlet scher Reihen durch Funktionalgleichungen	1949	Hans Maaß	9
+	Lectures on quadratic forms	1955	Carl Ludwig Siegel	9
+	Estimates for Soto-Andrade sums.	1993	Nicholas M. Katz	9
+	Some Applications of Modular Forms	1990	Peter Sarnak	9
+ PDF	The Selberg Trace Formula for PSL(2,ℝ)	1983	Dennis A. Hejhal	9
+	Lie Groups and Symmetric Spaces	2022	Caterina Campagnolo Francesco Fournier-Facio Marco Moraschini	9
+ PDF	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	8
+	Applications of special functions for the general linear group to number theory	1977	Audrey Terras	8
+	The Selberg trace formula and the Riemann zeta function	1976	Dennis A. Hejhal	8
+ PDF	Automorphic Forms on GL (2)	1970	H. Jacquet R. P. Langlands	8
+ PDF	Survey of Spectra of Laplacians on Finite Symmetric Spaces	1996	Audrey Terras	8
+ PDF	Integral formulas and integral tests for series of positive matrices	1980	Audrey Terras	8
+	On Epstein's Zeta-function.	1967	S. Chowla Atle Selberg	8
+ PDF	Bessel series expansions of the Epstein zeta function and the functional equation	1973	Audrey Terras	8
+	Random Matrices in Physics	1967	E. P. Wigner	8
+	Lectures on advanced analytic number theory	1961	Carl Ludwig Siegel S. Raghavan	7
+	Über Dirichlet-Reihen mit Funktionalgleichung.	1953	Max Koecher	7
+	Groups Acting on Hyperbolic Space	1998	Jürgen Elstrodt Fritz Grunewald J. Mennicke	7
+	Group representations in probability and statistics	1988	Persi Diaconis	7
+	Is there life on finite upper half planes?	1993	Nancy Celniker Steven Poulos Audrey Terras Cindy Trimble Elinor Velasquez	7
+	Bessel Functions of Matrix Argument	1955	Carl Herz	7
+	Special Functions and their Applications	1966	Y. L. L. Nikolai Lebedev Richard A. Silverman	7
+	Multiplicative Number Theory	1980	H. Davenport	7
+	Isospectral plane domains and surfaces via Riemannian orbifolds	1992	Carolyn S. Gordon David L. Webb Scott A. Wolpert	7
+	On the Topography of Maass Waveforms for PSL(2, Z)	1992	Dennis A. Hejhal Barry N. Rackner	7
+	Modular forms and Dirichlet series	1969	A. P. Ogg	6
+	Spherical Functions for Finite Upper Half Planes with Characteristic 2	1995	Ron Evans	6
+	Limit Theorems for the Compositions of Distributions in the Lobachevsky Plane and Space	1959	F. I. Karpelevicii V. N. Tutubalin	6
+	Representation theory and automorphic functions	1969	М. И. Граев Ilya Piatetski-Shapiro I. M. Gel'fand K. A. Hirsch	6
+ PDF	On automorphic forms for the general linear group	1982	Audrey Terras	6
+	HARMONIC ANALYSIS ON SYMMETRIC SPACES AND APPLICATIONS	1990	S. J. Patterson	6
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	6
+	Galois Theory, Algebraic Number Theory, and Zeta Functions	1992	Harold Stark	6
+	Algebraic Graph Theory	1974	Norman Biggs	6
+	Special Functions and the Theory of Group Representations	1968	N. I︠a︡. Vilenkin	6
+	Harmonic Analysis on Semi-Simple Lie Groups II	1972	Garth Warner	6
+	The determination of incomplete gamma functions through analytic integration	1979	Riho Terras	6
+ PDF	Zeroes of zeta functions and symmetry	1999	Nicholas Michael Katz Peter Sarnak	6