Audrey Terras
American mathematician
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Mathematics
Audrey Terras's Degrees
- PhD Mathematics University of California, San Diego
- Masters Mathematics University of California, San Diego
- Bachelors Mathematics University of California, San Diego
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(Suggest an Edit or Addition)According to Wikipedia, Audrey Anne Terras is an American mathematician who works primarily in number theory. Her research has focused on quantum chaos and on various types of zeta functions. Early life and education Audrey Terras was born September 10, 1942, in Washington, D.C. She received a BS degree in mathematics from the University of Maryland, College Park in 1964, and MA and PhD degrees from Yale University in 1966 and 1970 respectively. She was married to fellow UMD alumnus Riho Terras. She stated in a 2008 interview that she chose to study mathematics because "The U.S. government paid me! And not much! It was the time of Sputnik, so we needed to produce more mathematicians, and when I was deciding between Math and History, they weren’t paying me to do history, they were paying me to do math."
Audrey Terras's Published Works
Published Works
- Harmonic Analysis on Symmetric Spaces and Applications I (1985) (707)
- Fourier analysis on finite groups and applications (1999) (545)
- Zeta Functions of Finite Graphs and Coverings (1996) (292)
- Zeta functions of finite graphs and coverings, III (1996) (248)
- Zeta Functions of Graphs: A Stroll through the Garden (2010) (108)
- Harmonic Analysis on Symmetric Spaces―Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane (2013) (55)
- Bessel series expansions of the Epstein zeta function and the functional equation (1973) (50)
- Finite analogues of Euclidean space (1996) (41)
- Zeta Functions of Finite Graphs and Coverings , Part II (2000) (38)
- The minima of quadratic forms and the behavior of Epstein and Dedekind zeta functions (1980) (33)
- Survey of Spectra of Laplacians on Finite Symmetric Spaces (1996) (31)
- Harmonic Analysis on Symmetric Spaces―Higher Rank Spaces, Positive Definite Matrix Space and Generalizations (2016) (28)
- Special functions on finite upper half planes (1992) (27)
- Some formulas for the Riemann zeta function at odd integer argument resulting from Fourier expansions of the Epstein zeta function (1976) (23)
- Special Functions for the Symmetric Space of Positive Matrices (1985) (23)
- Is there life on finite upper half planes (1993) (21)
- SELBERG'S TRACE FORMULA ON THE k-REGULAR TREE AND APPLICATIONS (2003) (21)
- The Fourier expansion of Eisenstein series for (3 (1982) (19)
- Fourier Analysis on Finite Groups and Applications: Index (1999) (18)
- The Selberg Trace Formula and Related Topics (1986) (18)
- Integral formulas and integral tests for series of positive matrices (1980) (15)
- A Generalization of Epstein’s Zeta Function (1971) (14)
- Spherical functions and transforms on finite upper half planes: eigenvalues of the combinatorial Laplacian, uncertainty, traces (1994) (14)
- Noneuclidean Harmonic Analysis (1982) (14)
- Asymptotics of special functions and the central limit theorem on the space n of positive n × n matrices (1987) (13)
- Finite Quantum Chaos (2002) (12)
- On automorphic forms for the general linear group (1982) (12)
- Finite Euclidean graphs over rings (1998) (11)
- Fourier expansions of complex-valued Eisenstein series on finite upper half planes (2006) (10)
- Real zeroes of Epstein's zeta function for ternary positive definite quadratic forms (1979) (10)
- Are Finite Upper Half Plane Graphs Ramanujan? (1992) (10)
- Arithmetical Quantum Chaos (2007) (10)
- Hecke operators and the fundamental domain for (3 (1987) (9)
- Linear phase tracking in a coherence modulation electrical sensor system using integrated LiNbO/sub 3/ modulator/demodulator (1996) (9)
- The Fourier expansion of Epstein's zeta function over an algebraic number field and its consequences for algebraic number theory (1977) (9)
- Some Ramanujan hypergraphs associated to (,_{}) (2000) (8)
- The Chowla-Selberg Method for Fourier Expansion of Higher Rank Eisenstein Series (1985) (8)
- Fourier coefficients of Eisenstein series of one complex variable for the special linear group (1975) (7)
- Noneuclidean harmonic analysis, the central limit theorem, and long transmission lines with random inhomogeneities (1984) (7)
- Applications of special functions for the general linear group to number theory (1977) (7)
- Hecke Operators and the Fundamental Domain forSL ( 3 , Z ) (2010) (7)
- Functional Equations of Generalized Epstein Zeta Functions in Several Complex Variables (1971) (7)
- ZETA FUNCTIONS OF WEIGHTED GRAPHS AND COVERING GRAPHS (2007) (7)
- Analysis on positive matrices as it might have occurred to Fourier (1981) (5)
- STATISTICS OF GRAPH SPECTRA FOR SOME FINITE MATRIX GROUPS: FINITE QUANTUM CHAOS (2000) (5)
- Spectra of Heisenberg graphs over finite rings (2003) (5)
- The Fourier expansion of Epstein's zeta function for totally real algebraic number fields and some consequences for Dedekind's zeta function (1976) (4)
- Fourier Analysis on Finite Groups and Applications: Finite Nonabelian Groups (1999) (3)
- Book Review: Symmetries and Laplacians,RM: Introduction to harmonic analysis, group representations and applications (1993) (2)
- Zeta Functions of Graphs: Chaos (2010) (2)
- Fourier Analysis on Finite Groups and Applications: The Quadratic Reciprocity Law (1999) (2)
- Zeta Functions of Heisenberg Graphs over Finite Rings (2005) (2)
- Zeta functions and chaos (2010) (2)
- The Poincaré Upper Half-Plane (2013) (2)
- Comparison of Selberg's trace formula with its discrete analogues (2000) (2)
- Convergence to uniform on the finite heisenberg group and applications to random number generators (1989) (2)
- Fourier Coefficients of Eisenstein Series of One Epstein Series of One Complex Variable for the Special Linear Group (1975) (2)
- Zeta functions of graph coverings (2000) (1)
- Fourier Analysis on Finite Groups and Applications: The General Linear Group (Expression not displayed) (1999) (1)
- A Survey of Discrete Trace Formulas (1999) (1)
- Spectra of Heisenberg Graphs over Finite Rings: Histograms, Zeta Functions and Butterßies (2002) (1)
- Flat Space. Fourier Analysis on ℝ m (1985) (1)
- Fourier Analysis on Finite Groups and Applications: Finite Symmetric Spaces–Finite Upper Half Plane H q (1999) (1)
- Review: Serge Lang, Introduction to modular forms (1980) (1)
- The Ihara zeta function (2019) (1)
- The Poincar?? Upper Half-Plane (1985) (0)
- Fourier Analysis on Finite Groups and Applications: The Discrete Fourier Transform on the Finite Circle ℤ/ n ℤ (1999) (0)
- Zeta Functions of Graphs: Preface (2010) (0)
- The Selberg trace formula and related topics : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 22-28, 1984, with support from the National Science Foundation (1999) (0)
- Zeta Functions of Graphs: Non-isomorphic regular graphs without loops or multiedges having the same Ihara zeta function (2010) (0)
- Finite Nonabelian Groups (1999) (0)
- Zeta Functions of Graphs: Finite unramified Galois coverings of connected graphs (2010) (0)
- The General Noncompact Symmetric Space (2016) (0)
- Zeta Functions of Graphs: References (2010) (0)
- Zeta Functions of Graphs: Ihara zeta function (2010) (0)
- Fourier Analysis on Finite Groups and Applications: Error-Correcting Codes (1999) (0)
- Zeta Functions of Graphs: Selberg zeta function (2010) (0)
- Zeta Functions of Graphs: Path zeta functions (2010) (0)
- Zeta Functions of Graphs: Irregular graphs: what is the Riemann hypothesis? (2010) (0)
- Fourier Analysis on Finite Groups and Applications: Random Walks on Cayley Graphs (1999) (0)
- Fourier Analysis on Finite Groups and Applications: The Fast Fourier Transform or FFT (1999) (0)
- Groups: There's More (2018) (0)
- Zeta Functions of Graphs: Artin L -functions (2010) (0)
- Zeta Functions of Graphs: Final research problems (2010) (0)
- Fourier Analysis on Finite Groups and Applications: Congruences and the Quotient Ring of the Integers mod n (1999) (0)
- Zeta Functions of Graphs: Explicit formulas (2010) (0)
- Zeta Functions of Graphs: Ihara zeta function and the graph theory prime number theorem (2010) (0)
- The Space P n of Positive n × n Matrices (1988) (0)
- Fourier Analysis on Finite Groups and Applications: The Poisson Sum Formula on a Finite Abelian Group (1999) (0)
- Zeta Functions of Graphs: Ihara zeta function of a weighted graph (2010) (0)
- Lynne Heather Walling (1958–2021) (2023) (0)
- Fourier Analysis on Finite Groups and Applications: Selberg's Trace Formula and Isospectral Non-isomorphic Graphs (1999) (0)
- Fourier Analysis on Finite Groups and Applications: Finite Euclidean Graphs and Three Questions about Their Spectra (1999) (0)
- Abstract Algebra with Applications (2018) (0)
- Zeta Functions of Graphs: Fundamental theorem of Galois theory (2010) (0)
- Zeta Functions of Graphs: Graph theory prime number theorem (2010) (0)
- Ruelle zeta function (2010) (0)
- Zeta Functions of Graphs: Edge and path zeta functions (2010) (0)
- Fourier Analysis on Finite Groups and Applications: Special Functions on H q – K -Bessel and Spherical (1999) (0)
- Fourier Analysis on Finite Groups and Applications: Graphs of ℤ/ n ℤ, Adjacency Operators, Eigenvalues (1999) (0)
- Last look at the garden (2010) (0)
- Zeta Functions of Graphs: Discussion of regular Ramanujan graphs (2010) (0)
- An application to error-correcting codes (2010) (0)
- Zeta Functions of Graphs: Behavior of primes in coverings (2010) (0)
- The central limit theorem for the symmetric space of GL(3) (1989) (0)
- Riemann zeta function and other zetas from number theory (2010) (0)
- The Space $$\mathcal{P}_{ n}$$ of Positive n × n Matrices (2016) (0)
- Zeta Functions of Graphs: Regular graphs, location of poles of the Ihara zeta, functional equations (2010) (0)
- Fourier Analysis on Finite Groups and Applications: Induced Representations (1999) (0)
- Flat Space: Fourier Analysis on {\mathbb{R}}^{m} (2013) (0)
- Fourier Analysis on Finite Groups and Applications: Preface (1999) (0)
- Zeta Functions of Graphs: Chebotarev density theorem (2010) (0)
- Fourier Analysis on Finite Groups and Applications: Fourier Transform and Representations of Finite Groups (1999) (0)
- Zeta Functions of Graphs: Edge Artin L -functions (2010) (0)
- Fourier Analysis on Finite Groups and Applications: Four Questions about Cayley Graphs (1999) (0)
- A Compact Symmetric Space: The Sphere (2013) (0)
- Finite unramified coverings and Galois groups (2010) (0)
- Fourier Analysis on Finite Groups and Applications: The Uncertainty Principle (1999) (0)
- Fourier Analysis on Finite Groups and Applications: The Heisenberg Group (1999) (0)
- A quick look at various zeta functions (2010) (0)
- Fourier Analysis on Finite Groups and Applications: The Trace Formula on Finite Upper Half Planes (1999) (0)
- Book Review: Families of automorphic forms (1996) (0)
- Lectures on Applied Algebra II (2011) (0)
- Zeta Functions of Graphs: Path Artin L -functions (2010) (0)
- Fourier Analysis on Finite Groups and Applications: The Finite ax + b Group (1999) (0)
- Zeta Functions of Graphs: How to construct intermediate coverings using the Frobenius automorphism (2010) (0)
- Finite Analogs of Maass Wave Forms (2014) (0)
- Applications in Geometry and Analysis. Connections between Continuous and Finite Problems. Dido's Problem for Polygons (1999) (0)
- Fourier Analysis on Finite Groups and Applications: Some Applications in Chemistry and Physics (1999) (0)
- Looking into a Graph Theory Mirror of Number Theoretic Zetas (2011) (0)
- Structural Characterization of Concrete Filled (1998) (0)
- Fourier Analysis on Finite Groups and Applications: The DFT on Finite Abelian Groups – Finite Tori (1999) (0)
- Fourier Analysis on Finite Groups and Applications: Trace Formula For a Tree and Ihara's Zeta Function (1999) (0)
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