Brian Conrey | Academic Influence

Brian Conrey's AcademicInfluence.com Rankings

Brian Conrey

Mathematics

#1304

World Rank

#2181

Historical Rank

#543

USA Rank

Number Theory

#86

World Rank

#121

Historical Rank

#18

USA Rank

Measure Theory

#3079

World Rank

#3651

Historical Rank

#894

USA Rank

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Mathematics

Brian Conrey's Degrees

Bachelors Mathematics University of California, Berkeley

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Why Is Brian Conrey Influential?

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According to Wikipedia, John Brian Conrey is an American mathematician and the executive director of the American Institute of Mathematics. His research interests are in number theory, specifically analysis of L-functions and the Riemann zeta function.

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Brian Conrey'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

Integral Moments of L‐Functions (2002) (383)
More than two fifths of the zeros of the Riemann zeta function are on the critical line. (1989) (248)
The cubic moment of central values of automorphic L-functions (1998) (219)
Auditory-visual speech perception and synchrony detection for speech and nonspeech signals. (2006) (161)
High moments of the Riemann zeta-function (1999) (155)
On the Selberg class of Dirichlet series: small degrees (1992) (133)
Applications of the L‐functions ratios conjectures (2005) (129)
Autocorrelation of ratios of L-functions (2007) (126)
Mean values of L-functions and symmetry (1999) (113)
Autocorrelation of Random Matrix Polynomials (2002) (113)
On the frequency of vanishing of quadratic twists of modular L-functions (2000) (85)
More than 41% of the zeros of the zeta function are on the critical line (2010) (84)
Asymptotic mean square of the product of the Riemann zeta-function and a Dirichlet polynomial. (1985) (81)
The distribution of the eigenvalues of Hecke operators (1996) (73)
Spacing of zeros of Hecke L-functions and the class number problem (2001) (71)
A conjecture for the sixth power moment of the Riemann zeta-function (1998) (70)
L-Functions and Random Matrices (2000) (69)
A Note on Gaps between Zeros of the Zeta Function (1984) (61)
Mean Values of Dedekind Sums (1994) (61)
Period functions and cotangent sums (2011) (60)
On mean values of the zeta-function (1984) (54)
Zeros of derivatives of Riemann's xi-function of the critical line. II (1983) (52)
ON THE DISTRIBUTION OF GAPS BETWEEN ZEROS OF THE ZETA-FUNCTION (1985) (49)
THE FOURTH MOMENT OF DERIVATIVES OF THE RIEMANN ZETA-FUNCTION (1988) (48)
Howe pairs, supersymmetry, and ratios of random characteristic polynomials for the unitary groups U(N) (2005) (46)
Effects of dialect on merger perception: ERP and behavioral correlates (2005) (45)
Zeros of Fekete polynomials (1999) (44)
Moments of zeta and correlations of divisor-sums: IV (2015) (44)
Real zeros of quadratic Dirichlet L-functions (2001) (44)
Analytic Number Theory and Diophantine Problems (1987) (43)
Large gaps between zeros of the zeta-function (1986) (41)
Critical zeros of Dirichlet L-functions (2011) (40)
A Reciprocity Formula for a Cotangent Sum (2013) (39)
An extension of Hecke's converse theorem (1995) (38)
Averages of ratios of characteristic polynomials for the compact classical groups (2005) (38)
Correlations of eigenvalues and Riemann zeros (2008) (38)
Lower order terms in the full moment conjecture for the Riemann zeta function (2006) (38)
Effects of Talker Gender on Dialect Categorization (2005) (37)
Random Matrix Theory and the Fourier Coefficients of Half-Integral-Weight Forms (2004) (36)
Zeros of Derivatives Of the Riemann Zeta-Function Near the Critical Line (1990) (33)
Simple Zeros of the Riemann Zeta‐Function (1998) (33)
Fields Institute Communications (2015) (31)
Moments of the Derivative of Characteristic Polynomials with an Application to the Riemann Zeta Function (2006) (30)
The Sixth Power Moment of Dirichlet L-Functions (2007) (29)
Zeros of Derivatives of Riemann’s J-Function on the Critical Line (2003) (29)
Recent Perspectives in Random Matrix Theory and Number Theory: Notes on eigenvalue distributions for the classical compact groups (2005) (29)
Intransitive Dice (2013) (28)
The mean-square of Dirichlet L-functions (2007) (27)
Simple zeros of the zeta function of a quadratic number field. I (1986) (27)
Prime obsession - Bernhard Riemann and the greatest unsolved problem in mathematics (2003) (27)
The Riemann Hypothesis, Volume 50, Number 3 (2003) (27)
Pseudomoments of the Riemann zeta-function and pseudomagic squares (2003) (26)
The nontrivial zeros of period polynomials of modular forms lie on the unit circle (2012) (25)
In Support of n-Correlation (2012) (24)
Turán inequalities and zeros of Dirichlet series associated with certain cusp forms (1994) (23)
Remarks on the generalized Lindelöf Hypothesis (2006) (23)
Hecke Operators and the Nonvanishing of L—Functions (1999) (21)
At least two fifths of the zeros of the Riemann zeta function are on the critical line (1989) (20)
Ranks of Elliptic Curves and Random Matrix Theory: Introduction (2007) (20)
Simple zeros of the Ramanujan τ-Dirichlet series (1988) (19)
A Mean Value Theorem for the Riemann Zeta-Function at its Relative Extrema on the Critical Line (1985) (19)
Triple correlation of the Riemann zeros (2006) (18)
A note on the fourth power moment of the Riemann zeta-function (1995) (16)
A note on some positivity conditions related to zeta- and L-functions (1998) (16)
On mean values of the zeta-function, II (1989) (15)
Mixed moments of characteristic polynomials of random unitary matrices (2019) (15)
Asymptotic Large Sieve (2011) (15)
Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions (2005) (13)
Factoring Hecke polynomials modulo a prime (1998) (13)
A conjectural extension of Hecke’s converse theorem (2017) (12)
A simpler proof of Levinson's theorem (1985) (12)
Pattern recognition in correlated and uncorrelated noise. (2009) (12)
Mean Values of the Riemann Zeta-Function with Application to the Distribution of Zeros (1989) (12)
An optimal choice of dirichlet polynomials for the Nyman-Beurling criterion (2012) (11)
The highest lowest zero of general L-functions (2012) (11)
Audiovisual asynchrony detection for speech and nonspeech signals (2003) (10)
Detection of Auditory-Visual Asynchrony in Speech and Nonspeech Signals 1 (2004) (10)
On the zeros of the Taylor polynomials associated with the exponential function (1988) (9)
A converse theorem for Γ0(13) (2007) (9)
Transition mean values of real characters (1999) (9)
Discretisation for Odd Quadratic Twists (2005) (9)
Pair correlation and twin primes revisited (2016) (8)
AUTOCORRELATION OF RATIOS OF CHARACTERISTIC POLYNOMIALS AND OF L-FUNCTIONS (2004) (8)
On the location of the zeros of the derivative of a polynomial (1982) (8)
An ideal observer analysis of variability in visual-only speech (2005) (7)
Averages of long Dirichlet polynomials (2020) (7)
Critical zeros of lacunary $L$-functions (2016) (7)
Riemann’s hypothesis (2015) (7)
Recent Perspectives in Random Matrix Theory and Number Theory: Families of L-functions and 1-level densities (2005) (6)
Sets, Planets, and Comets (2013) (6)
Ranks of Elliptic Curves and Random Matrix Theory: Contents (2007) (5)
On r ‐gaps between zeros of the Riemann zeta‐function (2017) (5)
The mean square of the product of a Dirichlet $L$-function and a Dirichlet polynomial (2018) (4)
Prime Time for the Riemann Hypothesis (2003) (4)
Averages of ratios of the Riemann zeta-function and correlations of divisor sums (2016) (4)
On the orthogonal symmetry of L-functions of a family of Hecke Grössencharacters (2012) (4)
$n$-correlation with restricted support (2012) (3)
ON SPOKEN LANGUAGE PROCESSING Progress Report No . 26 ( 2003-2004 ) Indiana University Detection of Auditory-Visual Asynchrony in Speech and Nonspeech Signals (2004) (3)
Some geometric aspects of hyperbolic boundary value problems (1989) (3)
Number Theory for the Millennium 1 (2002) (3)
Smooth Neighbors (2012) (3)
On the Balazard-Saias criterion for the Riemann Hypothesis (2000) (2)
On the Selberg class of Dirichlet series: small weights (1992) (2)
Moments of the derivative of the Riemann zeta-function and of characteristic polynomials (2005) (2)
Notes on L-functions and Random Matrix Theory (2006) (2)
Book Review: Lectures on the Riemann zeta function (2016) (1)
Knots and ones (2017) (1)
The sixth moment of Dirichlet L-functions (2007) (1)
Smooth Values of Quadratic Polynomials (2019) (1)
Palindromic random trigonometric polynomials (2008) (1)
THE SECOND WEIGHTED MOMENT OF ζ by (2013) (1)
Spectral line shapes in systems undergoing continuous frequency modulation (1996) (1)
Moments of zeta and correlations of divisor-sums: stratification and Vandermonde integrals (2022) (1)
Small populations of zeros of L-functions (2013) (1)
Small gaps between zeros of twisted L-functions (2012) (1)
Averages of long Dirichlet polynomials with modular coefficients (2022) (1)
Moments of zeta and correlations of divisor-sums: IV (2016) (1)
0 20 80 07 v 2 9 J un 2 00 3 Autocorrelation of Random Matrix Polynomials (2003) (0)
Erratum to "On the Location of the Zeros of the Derivative of a Polynomial" (1988) (0)
N T ] 3 J un 2 00 2 INTEGRAL MOMENTS OF L-FUNCTIONS (2009) (0)
Erratum to: “On the location of the zeros of the derivative of a polynomial” [Proc. Amer. Math. Soc. 86 (1982), no. 1, 37–41; MR0663862 (83h:30006)] (1988) (0)
The L-functions of powers of a Hecke character (2012) (0)
N T / 0 00 53 00 v 1 3 1 M ay 2 00 0 L-functions and Random Matrices (2004) (0)
Simple zeros of the Ramanujan z-Diriehlet series (2005) (0)
LMS Lecture Note Series: Ranks of Elliptic Curves and Random Matrix Theory (2007) (0)
A converse theorem for Gamma (0) (13) (2006) (0)
L-functions, ranks of elliptic curves, and random matrix theory (2007) (0)
ON THE NON-VANISHING OF L f ( s ) AT THE CENTER OF THE CRITICAL STRIP (2021) (0)
ON THE LENGTH OF THE CONTINUED FRACTION OF √ q (2017) (0)
Applications of the asymptotic large sieve (2011) (0)
primes revisited (2016) (0)
A conjectural extension of Hecke’s converse theorem (2017) (0)
Journal of Language and Social Psychology (2005) (0)
Advanced Problems: 6198-6203 (1978) (0)
3 1 M ay 2 00 0 L-functions and Random Matrices (2001) (0)
ON SPOKEN LANGUAGE PROCESSING Progress Report No . 26 ( 2003-2004 ) Indiana University Multimodal Sentence Intelligibility and the Detection of Auditory-Visual Asynchrony in Speech and Nonspeech Signals : A First Report 1 (2004) (0)
MEAN VALUE OF DIRICHLET SERIES ASSOCIATED WITH CUSP FORMS By (2014) (0)
A technique for measuring single-item identification efficiencies (2010) (0)
The Sixth Power Moment of Dirichlet L-Functions (2012) (0)
Carl B. Allendoerfer Awards (2017) (0)
Analysis, Spectra, and Number Theory: A Conference in Honor of Peter Sarnak’s 60th Birthday December 15-19, 2014 (2015) (0)
Editorial (2020) (0)
A ug 2 00 2 Autocorrelation of Random Matrix Polynomials (2003) (0)
An optimal choice of dirichlet polynomials for the Nyman-Beurling criterion (2013) (0)
Commentary on: [L 104] Ω-Theorems for the Riemann-Zeta Function (1998) (0)
Coffee Coffee Coffee Coffee Coffee 1100-1200 (2012) (0)
In Support of n-Correlation (2014) (0)
Which numbers are not the sum plus the product of three positive integers? (2021) (0)
Averages of quadratic twists of long Dirichlet polynomials (2022) (0)
Arithmetic Functions (2020) (0)
MOLLIFYING THE RIEMANN ZETA-FUNCTION (0)

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