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Terras, Audrey Anne

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Author ID: terras.audrey-anne Recent zbMATH articles by "Terras, Audrey Anne"
Published as: Terras, A.; Terras, A. A.; Terras, Audrey; Terras, Audrey A.; Terras, Audrey Anne
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 61 Publications since 1971, including 8 Books
Reviewing Activity: 141 Reviews

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 751 times in 564 Documents Cited by Year
Harmonic analysis on symmetric spaces and applications. I. Zbl 0574.10029
Terras, Audrey
142
1985
Fourier analysis on finite groups and applications. Zbl 0928.43001
Terras, Audrey
119
1999
Zeta functions of finite graphs and coverings. Zbl 0874.11064
Stark, H. M.; Terras, A. A.
112
1996
Harmonic analysis on symmetric spaces and applications. II. Zbl 0668.10033
Terras, Audrey
79
1988
Zeta functions of graphs. A stroll through the garden. Zbl 1206.05003
Terras, Audrey
47
2011
Zeta functions of finite graphs and coverings. II. Zbl 0972.11086
Stark, H. M.; Terras, A. A.
35
2000
Zeta functions of finite graphs and coverings. III. Zbl 1207.05083
Terras, A. A.; Stark, H. M.
23
2007
Bessel series expansions of the Epstein zeta function and the functional equation. Zbl 0274.10039
Terras, Audrey A.
19
1973
What are zeta functions of graphs and what are they good for? Zbl 1222.11109
Horton, Matthew D.; Stark, H. M.; Terras, Audrey A.
15
2006
Harmonic analysis on symmetric spaces – Euclidean space, the sphere, and the Poincaré upper half plane. 2nd updated ed. Zbl 1279.43001
Terras, Audrey
11
2013
Special functions on finite upper half planes. Zbl 0790.11078
Angel, Jeff; Celniker, Nancy; Poulos, Steve; Terras, Audrey; Trimble, Cindy; Velasquez, Elinor
11
1992
Finite analogues of Euclidean space. Zbl 0874.05030
Medrano, A.; Myers, P.; Stark, H. M.; Terras, A.
10
1996
The minima of quadratic forms and the behavior of Epstein and Dedekind zeta functions. Zbl 0432.10010
Terras, Audrey
10
1980
Some formulas for the Riemann zeta function at odd integer argument resulting from Fourier expansions of the Epstein zeta function. Zbl 0282.10025
Terras, Audrey
9
1976
Is there life on finite upper half planes? Zbl 0792.05065
Celniker, Nancy; Poulos, Steven; Terras, Audrey; Trimble, Cindy; Velasquez, Elinor
8
1993
Survey of spectra of Laplacians on finite symmetric spaces. Zbl 0871.05044
Terras, Audrey
7
1996
A generalization of Epstein’s zeta function. Zbl 0212.07702
Terras, A.
7
1971
Graph spectra for finite upper half planes over rings. Zbl 0833.11059
Angel, J.; Trimble, C.; Shook, B.; Terras, A.
6
1995
Eigenvalue problems related to finite analogues of upper half planes. Zbl 0813.11033
Terras, Audrey
5
1991
Special functions for the symmetric space of positive matrices. Zbl 0574.10030
Terras, Audrey
5
1985
Selberg’s trace formula on the \(k\)-regular tree and applications. Zbl 1083.11032
Terras, Audrey; Wallace, Dorothy
4
2003
Some Ramanujan hypergraphs associated to GL\((n,\mathbb{F}_q)\). Zbl 1049.11136
Martínez, María G.; Stark, Harold M.; Terras, Audrey A.
4
2001
Spherical functions and transforms on finite upper half planes: Eigenvalues of the combinatorial Laplacian, uncertainty, traces. Zbl 0813.11034
Angel, Jeff; Poulos, Steve; Terras, Audrey; Trimble, Cindy; Velasquez, Elinor
4
1994
Noneuclidean harmonic analysis, the central limit theorem, and long transmission lines with random inhomogeneities. Zbl 0551.60022
Terras, Audrey
4
1984
Integral formulas and integral tests for series of positive matrices. Zbl 0397.10020
Terras, Audrey A.
4
1980
Real zeroes of Epstein’s zeta function for ternary positive definite quadratic forms. Zbl 0392.10024
Terras, A.
4
1979
Functional equations of generalized Epstein zeta functions in several complex variables. Zbl 0212.07801
Terras, A. A.
4
1971
Harmonic analysis on symmetric spaces – higher rank spaces, positive definite matrix space and generalizations. 2nd edition. Zbl 1351.43001
Terras, Audrey
3
2016
The contest between the kernels in the Selberg trace formula for the \((q+1)\)-regular tree. Zbl 1147.11031
Horton, Matthew D.; Newland, Derek B.; Terras, Audrey A.
3
2006
Spectra of Heisenberg graphs over finite rings. Zbl 1054.11063
DeDeo, M.; Martínez, M.; Medrano, A.; Minei, M.; Stark, H.; Terras, A.
3
2003
Are finite upper half plane graphs Ramanujan? Zbl 0802.11056
Terras, Audrey
3
1993
Asymptotics of special functions and the central limit theorem on the space \({\mathcal P}_ n\) of positive \(n\times n\) matrices. Zbl 0627.43009
Terras, Audrey
3
1987
Graphing L-functions of Kronecker symbols in the real part of the critical strip. Zbl 0592.10038
Purdy, G.; Terras, R.; Terras, A.; Williams, H. C.
3
1985
The Fourier expansion of Eisenstein series for GL(3,Z). Zbl 0504.10014
Imai, K.; Terras, A.
3
1982
Noneuclidean harmonic analysis. Zbl 0488.43013
Terras, Audrey
3
1982
The Fourier expansion of Epstein’s zeta function over an algebraic number field and its consequences for algebraic number theory. Zbl 0306.12006
Terras, Audrey
3
1977
Finite Euclidean graphs over rings. Zbl 0957.05053
Medrano, A.; Myers, P.; Stark, H. M.; Terras, A.
2
1998
The Selberg trace formula and related topics. Proceedings of the AMS-IMS- SIAM Joint Summer Research Conference in the Mathematical Sciences held at Bowdoin College, Brunwick, Maine, July 22-28, 1984. Zbl 0583.00006
Hejhal, Dennis A. (ed.); Sarnak, Peter (ed.); Terras, Audrey Anne (ed.)
2
1986
On automorphic forms for the general linear group. Zbl 0504.10015
Terras, Audrey
2
1982
Analysis on positive matrices as it might have occurred to Fourier. Zbl 0478.43007
Terras, Audrey
2
1981
Zeta functions and chaos. Zbl 1225.11117
Terras, Audrey
1
2010
Fourier expansions of complex-valued Eisenstein series on finite upper half planes. Zbl 1163.11037
Shaheen, Anthony; Terras, Audrey
1
2006
Finite quantum chaos. Zbl 1049.81032
Terras, Audrey
1
2002
Artin \(L\)-functions of graph coverings. Zbl 1019.11024
Stark, H. M.; Terras, A. A.
1
2001
Hecke operators and the fundamental domain for SL(3,\({\mathbb{Z}})\). Zbl 0637.10018
Gordon, Daniel; Grenier, Douglas; Terras, Audrey
1
1987
The Chowla-Selberg method for Fourier expansion of higher rank Eisenstein series. Zbl 0526.10021
Terras, Audrey
1
1985
The Fourier expansion of Epstein’s zeta function for totally real algebraic number fields and some consequences for Dedekind’s zeta function. Zbl 0295.12006
Terras, Audrey
1
1976
Fourier coefficients of Eisenstein series of on e complex variable for the special linear group. Zbl 0303.10029
Terras, A.
1
1975
Harmonic analysis on symmetric spaces – higher rank spaces, positive definite matrix space and generalizations. 2nd edition. Zbl 1351.43001
Terras, Audrey
3
2016
Harmonic analysis on symmetric spaces – Euclidean space, the sphere, and the Poincaré upper half plane. 2nd updated ed. Zbl 1279.43001
Terras, Audrey
11
2013
Zeta functions of graphs. A stroll through the garden. Zbl 1206.05003
Terras, Audrey
47
2011
Zeta functions and chaos. Zbl 1225.11117
Terras, Audrey
1
2010
Zeta functions of finite graphs and coverings. III. Zbl 1207.05083
Terras, A. A.; Stark, H. M.
23
2007
What are zeta functions of graphs and what are they good for? Zbl 1222.11109
Horton, Matthew D.; Stark, H. M.; Terras, Audrey A.
15
2006
The contest between the kernels in the Selberg trace formula for the \((q+1)\)-regular tree. Zbl 1147.11031
Horton, Matthew D.; Newland, Derek B.; Terras, Audrey A.
3
2006
Fourier expansions of complex-valued Eisenstein series on finite upper half planes. Zbl 1163.11037
Shaheen, Anthony; Terras, Audrey
1
2006
Selberg’s trace formula on the \(k\)-regular tree and applications. Zbl 1083.11032
Terras, Audrey; Wallace, Dorothy
4
2003
Spectra of Heisenberg graphs over finite rings. Zbl 1054.11063
DeDeo, M.; Martínez, M.; Medrano, A.; Minei, M.; Stark, H.; Terras, A.
3
2003
Finite quantum chaos. Zbl 1049.81032
Terras, Audrey
1
2002
Some Ramanujan hypergraphs associated to GL\((n,\mathbb{F}_q)\). Zbl 1049.11136
Martínez, María G.; Stark, Harold M.; Terras, Audrey A.
4
2001
Artin \(L\)-functions of graph coverings. Zbl 1019.11024
Stark, H. M.; Terras, A. A.
1
2001
Zeta functions of finite graphs and coverings. II. Zbl 0972.11086
Stark, H. M.; Terras, A. A.
35
2000
Fourier analysis on finite groups and applications. Zbl 0928.43001
Terras, Audrey
119
1999
Finite Euclidean graphs over rings. Zbl 0957.05053
Medrano, A.; Myers, P.; Stark, H. M.; Terras, A.
2
1998
Zeta functions of finite graphs and coverings. Zbl 0874.11064
Stark, H. M.; Terras, A. A.
112
1996
Finite analogues of Euclidean space. Zbl 0874.05030
Medrano, A.; Myers, P.; Stark, H. M.; Terras, A.
10
1996
Survey of spectra of Laplacians on finite symmetric spaces. Zbl 0871.05044
Terras, Audrey
7
1996
Graph spectra for finite upper half planes over rings. Zbl 0833.11059
Angel, J.; Trimble, C.; Shook, B.; Terras, A.
6
1995
Spherical functions and transforms on finite upper half planes: Eigenvalues of the combinatorial Laplacian, uncertainty, traces. Zbl 0813.11034
Angel, Jeff; Poulos, Steve; Terras, Audrey; Trimble, Cindy; Velasquez, Elinor
4
1994
Is there life on finite upper half planes? Zbl 0792.05065
Celniker, Nancy; Poulos, Steven; Terras, Audrey; Trimble, Cindy; Velasquez, Elinor
8
1993
Are finite upper half plane graphs Ramanujan? Zbl 0802.11056
Terras, Audrey
3
1993
Special functions on finite upper half planes. Zbl 0790.11078
Angel, Jeff; Celniker, Nancy; Poulos, Steve; Terras, Audrey; Trimble, Cindy; Velasquez, Elinor
11
1992
Eigenvalue problems related to finite analogues of upper half planes. Zbl 0813.11033
Terras, Audrey
5
1991
Harmonic analysis on symmetric spaces and applications. II. Zbl 0668.10033
Terras, Audrey
79
1988
Asymptotics of special functions and the central limit theorem on the space \({\mathcal P}_ n\) of positive \(n\times n\) matrices. Zbl 0627.43009
Terras, Audrey
3
1987
Hecke operators and the fundamental domain for SL(3,\({\mathbb{Z}})\). Zbl 0637.10018
Gordon, Daniel; Grenier, Douglas; Terras, Audrey
1
1987
The Selberg trace formula and related topics. Proceedings of the AMS-IMS- SIAM Joint Summer Research Conference in the Mathematical Sciences held at Bowdoin College, Brunwick, Maine, July 22-28, 1984. Zbl 0583.00006
Hejhal, Dennis A. (ed.); Sarnak, Peter (ed.); Terras, Audrey Anne (ed.)
2
1986
Harmonic analysis on symmetric spaces and applications. I. Zbl 0574.10029
Terras, Audrey
142
1985
Special functions for the symmetric space of positive matrices. Zbl 0574.10030
Terras, Audrey
5
1985
Graphing L-functions of Kronecker symbols in the real part of the critical strip. Zbl 0592.10038
Purdy, G.; Terras, R.; Terras, A.; Williams, H. C.
3
1985
The Chowla-Selberg method for Fourier expansion of higher rank Eisenstein series. Zbl 0526.10021
Terras, Audrey
1
1985
Noneuclidean harmonic analysis, the central limit theorem, and long transmission lines with random inhomogeneities. Zbl 0551.60022
Terras, Audrey
4
1984
The Fourier expansion of Eisenstein series for GL(3,Z). Zbl 0504.10014
Imai, K.; Terras, A.
3
1982
Noneuclidean harmonic analysis. Zbl 0488.43013
Terras, Audrey
3
1982
On automorphic forms for the general linear group. Zbl 0504.10015
Terras, Audrey
2
1982
Analysis on positive matrices as it might have occurred to Fourier. Zbl 0478.43007
Terras, Audrey
2
1981
The minima of quadratic forms and the behavior of Epstein and Dedekind zeta functions. Zbl 0432.10010
Terras, Audrey
10
1980
Integral formulas and integral tests for series of positive matrices. Zbl 0397.10020
Terras, Audrey A.
4
1980
Real zeroes of Epstein’s zeta function for ternary positive definite quadratic forms. Zbl 0392.10024
Terras, A.
4
1979
The Fourier expansion of Epstein’s zeta function over an algebraic number field and its consequences for algebraic number theory. Zbl 0306.12006
Terras, Audrey
3
1977
Some formulas for the Riemann zeta function at odd integer argument resulting from Fourier expansions of the Epstein zeta function. Zbl 0282.10025
Terras, Audrey
9
1976
The Fourier expansion of Epstein’s zeta function for totally real algebraic number fields and some consequences for Dedekind’s zeta function. Zbl 0295.12006
Terras, Audrey
1
1976
Fourier coefficients of Eisenstein series of on e complex variable for the special linear group. Zbl 0303.10029
Terras, A.
1
1975
Bessel series expansions of the Epstein zeta function and the functional equation. Zbl 0274.10039
Terras, Audrey A.
19
1973
A generalization of Epstein’s zeta function. Zbl 0212.07702
Terras, A.
7
1971
Functional equations of generalized Epstein zeta functions in several complex variables. Zbl 0212.07801
Terras, A. A.
4
1971
all top 5

Cited by 717 Authors

44 Sato, Iwao
17 Mizuno, Hirobumi
12 Terras, Audrey Anne
8 Krieg, Aloys
8 Mitsuhashi, Hideo
7 Green, Michael B.
7 Konno, Norio
6 Li, Wen-Ch’ing Winnie
6 Morita, Hideaki
6 Somodi, Marius
6 Stark, Harold M.
5 Deitmar, Anton
5 Hou, Yaoping
5 Li, Deqiong
5 Rubin, Boris
5 Saito, Seiken
5 Sarnak, Peter Clive
5 Tanaka, Hajime
4 Bannai, Eiichi
4 Bétermin, Laurent
4 Forrester, Peter J.
4 Higham, Desmond J.
4 Kanemitsu, Shigeru
4 Kim, Peter T.
4 Koo, Ja-Yong
4 Martin, Yves-Loïc
4 Noferini, Vanni
4 Södergren, Anders
4 Tam, Tin-Yau
4 Vanhove, Pierre
4 Vinh, Le Anh
3 Arrigo, Francesca
3 Benedetto, John J.
3 Buttcane, Jack
3 Clair, Bryan
3 D’Hoker, Eric
3 Dyshko, Serhii
3 Efrat, Isaac Y.
3 Friedli, Fabien
3 Goodall, Andrew J.
3 Hancock, Edwin Robert
3 Hasegawa, Takehiro
3 Hoffstein, Jeffrey
3 Hurt, Norman E.
3 Kim, Henry H.
3 Kohnen, Winfried
3 Kraußhar, Rolf Sören
3 Kwak, Jin Ho
3 Kwon, Sanghoon
3 Lu, Guozhen
3 Ournycheva, Elena
3 Peng, Lizhong
3 Rau, Christian
3 Russell, Alexander C.
3 Russo, Jorge G.
3 Sato, Fumihiro
3 Scarabotti, Fabio
3 Shparlinski, Igor E.
3 Srivastava, Hari Mohan
3 Storm, Christopher K.
3 Tolli, Filippo
3 Wallace, Dorothy I.
3 Wang, Zhimin
3 Yamasaki, Yoshinori
3 Yang, Qiaohua
3 Yoshimoto, Masami
2 Awonusika, Richard Olu
2 Bapat, Ravindra Bhalchandra
2 Bogomolny, E. B.
2 Bordenave, Charles
2 Bossard, Guillaume
2 Ceccherini-Silberstein, Tullio G.
2 Cheuk, Danny
2 Choi, Junesang
2 Christian, Ulrich
2 Constales, Denis
2 Cornelissen, Gunther
2 De Gregorio, Alessandro
2 de Oliveira Filho, Fernando Mário
2 Feichtinger, Hans Georg
2 Fontelos López, Marco Antonio
2 Friedman, Joel
2 Fulman, Jason E.
2 Garijo, Delia
2 Georgeot, Bertrand
2 Giannoni, Marie-Joya
2 Goldstein, Daniel E.
2 González, María del Mar
2 Grindrod, Peter
2 Grosche, Christian
2 Guido, Daniele
2 Gutperle, Michael
2 He, Jianxun
2 He, Yang-Hui Evariste
2 Hiroe, Kazuki
2 Hoory, Shlomo
2 Huang, Hau-wen
2 Huckemann, Stephan F.
2 Huntley, Jonathan M.
2 Imamoḡlu, Özlem
...and 617 more Authors
all top 5

Cited in 188 Serials

43 Linear Algebra and its Applications
29 Journal of Number Theory
17 Discrete Mathematics
15 Advances in Mathematics
15 Proceedings of the American Mathematical Society
13 Nuclear Physics. B
13 Transactions of the American Mathematical Society
12 Duke Mathematical Journal
10 Journal of Functional Analysis
10 European Journal of Combinatorics
10 Graphs and Combinatorics
10 The Journal of Fourier Analysis and Applications
9 Linear and Multilinear Algebra
9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
8 Journal of Mathematical Physics
8 Journal of Multivariate Analysis
8 Forum Mathematicum
8 Journal of High Energy Physics
7 Journal of Combinatorial Theory. Series B
7 Monatshefte für Mathematik
6 Results in Mathematics
5 Journal of Mathematical Analysis and Applications
5 Journal of Statistical Physics
5 Journal of Algebra
5 Annals of Physics
5 Finite Fields and their Applications
5 The Electronic Journal of Combinatorics
4 Communications in Mathematical Physics
4 Israel Journal of Mathematics
4 The Annals of Statistics
4 Geometriae Dedicata
4 Inventiones Mathematicae
4 Manuscripta Mathematica
4 Mathematische Zeitschrift
4 Tohoku Mathematical Journal. Second Series
4 International Journal of Mathematics
4 Applied and Computational Harmonic Analysis
4 Annales Henri Poincaré
3 Bulletin of the Australian Mathematical Society
3 Rocky Mountain Journal of Mathematics
3 Mathematics of Computation
3 Archiv der Mathematik
3 Mathematische Annalen
3 Designs, Codes and Cryptography
3 The Ramanujan Journal
3 Quantum Information Processing
3 Korean Journal of Mathematics
2 Communications in Algebra
2 Computers & Mathematics with Applications
2 Letters in Mathematical Physics
2 Physics Letters. A
2 Reports on Mathematical Physics
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Applied Mathematics and Computation
2 Illinois Journal of Mathematics
2 Journal of Combinatorial Theory. Series A
2 Journal of Pure and Applied Algebra
2 Mathematika
2 Memoirs of the American Mathematical Society
2 Nagoya Mathematical Journal
2 Theoretical Computer Science
2 Topology and its Applications
2 Zeitschrift für Analysis und ihre Anwendungen
2 Constructive Approximation
2 Applied Mathematics Letters
2 Journal of the American Mathematical Society
2 SIAM Journal on Discrete Mathematics
2 Science in China. Series A
2 Geometric and Functional Analysis. GAFA
2 Communications in Partial Differential Equations
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal of Algebraic Combinatorics
2 Nuclear Physics, B, Proceedings Supplements
2 Journal of Mathematical Sciences (New York)
2 Integral Transforms and Special Functions
2 Journal of Algebra and its Applications
2 SIAM Journal on Imaging Sciences
2 Probability Surveys
2 Random Matrices: Theory and Applications
2 Forum of Mathematics, Sigma
2 Research in Number Theory
1 International Journal of Modern Physics A
1 Advances in Applied Probability
1 Archive for Rational Mechanics and Analysis
1 The Canadian Journal of Statistics
1 Discrete Applied Mathematics
1 International Journal of Mathematical Education in Science and Technology
1 Indian Journal of Pure & Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of the Franklin Institute
1 Physics Letters. B
1 Reviews of Modern Physics
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Acta Arithmetica
1 The Annals of Probability
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
...and 88 more Serials
all top 5

Cited in 56 Fields

253 Number theory (11-XX)
198 Combinatorics (05-XX)
57 Linear and multilinear algebra; matrix theory (15-XX)
52 Abstract harmonic analysis (43-XX)
51 Quantum theory (81-XX)
49 Probability theory and stochastic processes (60-XX)
41 Group theory and generalizations (20-XX)
34 Global analysis, analysis on manifolds (58-XX)
32 Harmonic analysis on Euclidean spaces (42-XX)
31 Topological groups, Lie groups (22-XX)
28 Special functions (33-XX)
28 Information and communication theory, circuits (94-XX)
22 Partial differential equations (35-XX)
22 Statistics (62-XX)
22 Numerical analysis (65-XX)
21 Statistical mechanics, structure of matter (82-XX)
20 Differential geometry (53-XX)
16 Functional analysis (46-XX)
15 Convex and discrete geometry (52-XX)
15 Computer science (68-XX)
14 Dynamical systems and ergodic theory (37-XX)
14 Relativity and gravitational theory (83-XX)
11 Algebraic geometry (14-XX)
11 Integral transforms, operational calculus (44-XX)
9 Functions of a complex variable (30-XX)
9 Operator theory (47-XX)
8 Associative rings and algebras (16-XX)
8 Geometry (51-XX)
7 Manifolds and cell complexes (57-XX)
6 Nonassociative rings and algebras (17-XX)
6 Measure and integration (28-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Operations research, mathematical programming (90-XX)
4 Real functions (26-XX)
4 Mechanics of deformable solids (74-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Mathematical logic and foundations (03-XX)
3 Difference and functional equations (39-XX)
2 General and overarching topics; collections (00-XX)
2 Field theory and polynomials (12-XX)
2 Potential theory (31-XX)
2 Ordinary differential equations (34-XX)
2 Approximations and expansions (41-XX)
2 Algebraic topology (55-XX)
2 Systems theory; control (93-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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