Samuel James Patterson

Samuel James Patterson's AcademicInfluence.com Rankings

Mathematics

#2779

World Rank

#4217

Historical Rank

Group Theory

#134

World Rank

#162

Historical Rank

Number Theory

#152

World Rank

#201

Historical Rank

Algebra

#348

World Rank

#481

Historical Rank

mathematics Degrees

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Mathematics

Samuel James Patterson's Degrees

Masters Mathematics University of Oxford

Why Is Samuel James Patterson Influential?

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According to Wikipedia, Samuel James Patterson is a Northern Irish mathematician specializing in analytic number theory. He has been a professor at the University of Göttingen since 1981. Biography Patterson was born in Belfast and grew up in the east of the city, attending Grosvenor High School. He went to Clare College, Cambridge, in 1967, and received his BA in mathematics in 1970, and his Ph.D. on "The limit set of a Fuchsian group" under Alan Beardon. He spent 1974–1975 at Göttingen, 1975–1979 he was back at Cambridge, and 1979–1981 he was at Harvard as Benjamin Pierce Lecturer. From 1981 to his retirement in 2011 he was professor of mathematics at Göttingen.

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Samuel James Patterson's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The limit set of a Fuchsian group (1976) (687)
THE SELBERG TRACE FORMULA FOR PSL(2, R) Volume 2: (Lecture Notes in Mathematics, 1001) (1984) (220)
Metaplectic forms (1984) (182)
The divisor of Selberg's zeta function for Kleinian groups (2001) (168)
An Introduction to the Theory of the Riemann Zeta-Function (1988) (129)
HARMONIC ANALYSIS ON SYMMETRIC SPACES AND APPLICATIONS (1990) (103)
The distribution of Kummer sums at prime arguments. (1979) (89)
The exponent of convergence of poincaré series (1976) (76)
Diophantine approximation in Fuchsian groups (1976) (66)
A lattice-point problem in hyperbolic space (1975) (62)
On a lattice-point problem in hyperbolic space and related questions in spectral theory (1988) (59)
The laplacian operator on a Riemann surface, III (1976) (57)
The Laplacian operator on a Riemann surface (1976) (57)
A cubic analogue of the theta series. II. (1977) (54)
THE ERGODIC THEORY OF DISCRETE GROUPS (London Mathematical Society Lecture Note Series 143) (1990) (52)
The Selberg Zeta-Function of a Kleinian Group (1989) (48)
Ramified coverings of Riemann surfaces (1977) (41)
A cubic analogue of the theta series. (1977) (39)
On Automorphic Functions of Half-Integral Weight with Applications to Elliptic Curves (1982) (38)
THE RIEMANN ZETA FUNCTION (1994) (35)
Further remarks on the exponent of convergence of Poincaré series (1983) (28)
Some Examples of Fuchsian Groups (1979) (28)
Fundamentals of Hyperbolic Manifolds: LECTURES ON MEASURES ON LIMIT SETS OF KLEINIAN GROUPS (2006) (26)
Spectral theory and Fuchsian groups (1977) (25)
Metaplectic forms (1985) (25)
The Distribution of General Gauss Sums and Similar Arithmetic Functions at Prime Arguments (1987) (25)
On the cohomology of Fuchsian groups (1975) (21)
On the Fourier Coefficients of Biquadratic Theta Series (1992) (18)
An Introduction to the theory of the Riemann zeta-function: The approximate functional equation (1988) (18)
The symmetric-squareL-function attached to a cuspidal automorphic representation ofGL3 (1989) (17)
The first moment of cubic exponential sums (2002) (16)
On dynamical systems and their possible significance for arithmetic geometry (15)
An Introduction to the theory of the Riemann zeta-function: Contents (1988) (12)
On Dirichlet series associated with cubic Gauss sums. (1978) (12)
The Asymptotic Distribution of Exponential Sums, II (2005) (9)
On the distribution of Kummer sums. (1978) (9)
The asymptotic distribution of Kloosterman sums (1997) (9)
On the distribution of certain Hua sums, II (2000) (8)
The Asymptotic Distribution of Exponential Sums, I (2003) (8)
Metaplectic forms and Gauss sums I (1987) (8)
Corrigendum to:“A lattice-point problem in hyperbolic space” (1976) (7)
On the coefficients of certain automorphic functions (1977) (7)
Eisenstein and the quintic equation (1990) (7)
NOTE ON A PAPER OF J. HOFFSTEIN (2007) (6)
Tori in metaplectic covers of GL2 and applications to a formula of Loxton–Matthews (1986) (3)
Number Theory and Dynamical Systems: Metric Diophantine approximation of quadratic forms (1989) (3)
The Fourier coefficients of metaplectic theta series on GL(2) over rational function fields (2014) (2)
THE LEVEL STRUCTURE OF EXCEPTIONAL METAPLECTIC REPRESENTATIONS (1998) (2)
Theory of the Riemann Zeta and Allied Functions (2004) (2)
The cubic Shimura correspondence (1998) (2)
BRANCHING RULES FOR n-FOLD COVERING GROUPS OF SL 2 OVER A NON-ARCHIMEDEAN LOCAL FIELD (2018) (1)
The distribution of certain special values of the cubic Legendre symbol (1985) (1)
The constant term of the cubic theta series. (1982) (1)
Review: Dennis A. Hejhal, The Selberg trace formula for $PSL\,\left( {2,\mathbf{R}} \right)$, Volume I (1978) (1)
A footnote to ‘On the coefficients of certain automorphic functions’ (1978) (1)
The Analytic Theory of Automorphic Forms (2011) (1)
Analytic Number Theory and Statistics (2008) (0)
An Introduction to the theory of the Riemann zeta-function: Fourier theory (1988) (0)
PEM volume 35 issue 3 Cover and Back matter (1992) (0)
PEM volume 33 issue 3 Cover and Back matter (1990) (0)
An Introduction to the theory of the Riemann zeta-function: An estimate for certain integrals (1988) (0)
The Riemann zeta function and Hamburger’s theorem (0)
An Introduction to the theory of the Riemann zeta-function: Preface (1988) (0)
Excerpt from an Unwritten Letter (2012) (0)
An Introduction to the theory of the Riemann zeta-function: The Riemann Hypothesis and the Lindelöf Hypothesis (1988) (0)
Selberg Sums: A New Perspective (2014) (0)
An Introduction to the theory of the Riemann zeta-function: Littlewood's Theorem (1988) (0)
HILBERT MODULAR FORMS (1991) (0)
On a question of H. A. Schwarz (2019) (0)
Book Review: Geometry and spectra of compact Riemann surfaces (1994) (0)
Spherical isotropy representations . Non-commutative differential geometry . Transformation de fourier et majoration de sommes exponentielles . Corrections to, Metaplectic forms (1985) (0)
An Introduction to the theory of the Riemann zeta-function: The Mellin transform (1988) (0)
Book Review: Selberg zeta and theta functions, A differential operator approach (1997) (0)
Robot Localization for FIRST Robotics (2013) (0)
An Introduction to the theory of the Riemann zeta-function: The Poisson Summation Formula and the functional equation (1988) (0)
An Introduction to the theory of the Riemann zeta-function: The zeros of the zeta-function and the Prime Number Theorem (1988) (0)
An Introduction to the theory of the Riemann zeta-function: The gamma-function (1988) (0)
An Introduction to the theory of the Riemann zeta-function: Integral functions of finite order (1988) (0)
An Introduction to the theory of the Riemann zeta-function: Notations, Cross-references, References (1988) (0)

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