Zeev Rudnick | Academic Influence

Zeev Rudnick's AcademicInfluence.com Rankings

Zeev Rudnick

Mathematics

#3201

World Rank

#4776

Historical Rank

Number Theory

#156

World Rank

#205

Historical Rank

Measure Theory

#3167

World Rank

#3752

Historical Rank

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Mathematics

Zeev Rudnick's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics Tel Aviv University

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Why Is Zeev Rudnick Influential?

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According to Wikipedia, Zeev Rudnick or Ze'ev Rudnick is a mathematician, specializing in number theory and in mathematical physics, notably quantum chaos. Rudnick is a professor at the School of Mathematical Sciences and the Cissie and Aaron Beare Chair in Number Theory at Tel Aviv University.

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Zeev Rudnick'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

Zeros of principal $L$-functions and random matrix theory (1996) (583)
The behaviour of eigenstates of arithmetic hyperbolic manifolds (1994) (407)
Density of integer points on affine homogeneous varieties (1993) (296)
On Selberg's eigenvalue conjecture (1995) (235)
The Pair Correlation Function of Fractional Parts of Polynomials (1998) (155)
Hecke theory and equidistribution for the quantization of linear maps of the torus (1999) (128)
The distribution of spacings between the fractional parts of n2α (2000) (123)
On the Volume of Nodal Sets for Eigenfunctions of the Laplacian on the Torus (2007) (115)
Linear statistics of low-lying zeros of L-functions (2002) (97)
Lower bounds for moments of L-functions. (2005) (84)
ON THE ASYMPTOTIC DISTRIBUTION OF ZEROS OF MODULAR FORMS (2005) (81)
The variance of the number of prime polynomials in short intervals and in residue classes (2012) (75)
Eigenvalue Spacings for Regular Graphs (2003) (70)
The distribution of spacings between quadratic residues (1998) (70)
Equidistribution in number theory, an introduction (2006) (70)
On Quantum Ergodicity for Linear Maps of the Torus (1999) (65)
Mock-Gaussian behaviour for linear statistics of classical compact groups (2002) (60)
A metric result on the pair correlation of fractional parts of sequences (1999) (59)
Restriction of toral eigenfunctions to hypersurfaces and nodal sets (2011) (59)
The Circle Problem in the Hyperbolic Plane (1994) (59)
Traces of high powers of the Frobenius class in the hyperelliptic ensemble (2008) (59)
Lower bounds for moments of L-functions: symplectic and orthogonal examples (2006) (58)
The fluctuations in the number of points on a hyperelliptic curve over a finite field (2008) (58)
The Leray measure of nodal sets for random eigenfunctions on the torus (2006) (55)
On the distribution of matrix elements for the quantum cat map (2003) (53)
The distribution of spacings between fractional parts of lacunary sequences (1999) (53)
Quantum unique ergodicity for parabolic maps (1999) (53)
Shifted convolution and the Titchmarsh divisor problem over 𝔽q[t] (2014) (50)
Hardy-Littlewood varieties and semisimple groups (1995) (44)
Betti numbers of congruence groups (1994) (44)
Torsion points on curves and common divisors of $a^k-1$ and $b^k-1$ (2002) (44)
On the nodal sets of toral eigenfunctions (2010) (43)
Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field (2008) (43)
Small Scale Equidistribution of Eigenfunctions on the Torus (2015) (42)
Statistics of Wave Functions for a Point Scatterer on the Torus (2011) (39)
Squarefree polynomials and Mobius values in short intervals and arithmetic progressions (2015) (38)
Nodal intersections for random eigenfunctions on the torus (2014) (38)
On the Geometry of the Nodal Lines of Eigenfunctions of the Two-Dimensional Torus (2010) (37)
Low-lying Zeros of Quadratic Dirichlet L-Functions, Hyper-elliptic Curves and Random Matrix Theory (2012) (37)
Local Statistics of Lattice Points on the Sphere (2012) (36)
Almost all eigenfunctions of a rational polygon are uniformly distributed (2011) (36)
The n-level correlations of zeros of the zeta function (1994) (35)
Value distribution for eigenfunctions of desymmetrized quantum maps (2001) (33)
Stable mixing for cat maps and quasi-morphisms of the modular group (2000) (31)
The distribution of spacings between small powers of a primitive root (2000) (29)
Random matrix theory, the exceptional Lie groups and L-functions (2002) (28)
On the distribution of lattice points in thin annuli (2003) (28)
A proof of Siegel's weight formula (1991) (27)
Sums of divisor functions in $$\mathbb {F}_q[t]$$Fq[t] and matrix integrals (2015) (27)
TORSION POINTS ON CURVES (2007) (27)
Nodal intersections for random waves on the 3-dimensional torus (2015) (26)
On Quantum Unique Ergodicity for Linear Maps of the Torus (2001) (25)
Linear statistics for zeros of Riemann's zeta function (2002) (24)
Restriction of toral eigenfunctions to hypersurfaces (2009) (23)
Spatial statistics for lattice points on the sphere I: Individual results (2016) (22)
Angles of Gaussian Primes (2017) (20)
Small gaps in the spectrum of the rectangular billiard (2016) (17)
Some problems in analytic number theory for polynomials over a finite field (2015) (16)
A Lower Bound for Periods of Matrices (2003) (15)
Representation varieties of solvable groups (1987) (14)
Matrix elements for the quantum cat map: fluctuations in short windows (2007) (14)
The variance of arithmetic measures associated to closed geodesics on the modular surface (2008) (14)
On the statistics of the minimal solution of a linear Diophantine equation and uniform distribution of the real part of orbits in hyperbolic spaces (2007) (14)
Nodal intersections and Lp restriction theorems on the torus (2013) (14)
On the Eigenvalue Spacing Distribution for a Point Scatterer on the Flat Torus (2012) (13)
Square-free values of polynomials over the rational function field (2012) (12)
Stable multiplicities in the length spectrum of Riemann surfaces (1998) (11)
Kick stability in groups and dynamical systems (2000) (10)
THE ARITHMETIC THEORY OF QUANTUM MAPS (2007) (9)
A Central Limit Theorem for the Spectrum of the Modular Domain (2004) (9)
The metric theory of the pair correlation function of real-valued lacunary sequences (2020) (9)
A metric theory of minimal gaps (2017) (9)
Decay of eigenfunctions on semisimple symmetric spaces (1991) (9)
Differences Between Robin and Neumann Eigenvalues (2020) (8)
Sums of divisor functions in F q[ t ] and matrix integrals. Mathematische (2017) (8)
The metric theory of the pair correlation function for small non‐integer powers (2021) (7)
Gap Distributions in Circle Packings (2015) (7)
On the Robin spectrum for the hemisphere (2020) (6)
The Robin problem on rectangles (2021) (3)
GOE statistics on the moduli space of surfaces of large genus (2022) (3)
Eigenfunctions of the Quantized Cat Map (1999) (3)
On Cilleruelo’s conjecture for the least common multiple of polynomial sequences (2019) (3)
A lower bound on the LCM of polynomial sequences (2019) (3)
On locally repeated values of arithmetic functions over Fq[T] (2018) (3)
Number fields and function fields: coalescences, contrasts and emerging applications (2015) (2)
Gaussian primes in almost all narrow sectors (2019) (2)
Points on nodal lines with given direction (2018) (2)
Pair arithmetical equivalence for quadratic fields (2020) (2)
Derivation of the reflection integral equation of the zeta function by the quaternionic analysis (2015) (1)
On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus (2023) (1)
New tests of the correspondence between unitary eigenvalues and the zeros of Riemann's (2017) (1)
Remembering Jean Bourgain (1954–2018) (2021) (1)
Arithmetic Quantum Unique Ergodicity for Symplectic Linear Maps of the Multidimensional Torus (2007) (1)
Correction to ‘Shifted convolution and the Titchmarsh divisor problem over 𝔽q[t]' (2016) (1)
Eigenvalue statistics and lattice points (2007) (1)
ANALYTIC NUMBER THEORY, SPRING 2022: ANKENY’S THEOREM FOR THE RATIONAL FUNCTION FIELD (2022) (0)
THE ELEMENTARY THEORY OF PRIMES (2022) (0)
QUANTUM UNIQUE ERGODICITY FOR PARABOLICMAPSJENS MARKLOF AND ZE (1999) (0)
Statistics of Wave Functions for a Point Scatterer on the Torus (2012) (0)
ANALYTIC NUMBER THEORY, SPRING 2022: NON-VANISHING OF L-FUNCTIONS (2022) (0)
fields and function fields: Coalescences, contrasts and emerging applications. (2015) (0)
On the Robin spectrum for the hemisphere (2021) (0)
Number Theoretic Background (2003) (0)
On locally repeated values of arithmetic functions over $\mathbb F_q[T]$ (2018) (0)
LATTICE POINTS ON CIRCLES OPEN PROBLEMS IN NUMBER THEORY SPRING 2018, TEL AVIV UNIVERSITY (2018) (0)
Introduction to the Special Issue: In memory of Jean Bourgain (2022) (0)
On the sum of digits of $1/M$ in $\mathbb{F}_q[x]$ (2021) (0)
Small Scale Equidistribution of Eigenfunctions on the Torus (2016) (0)
Equidistribution of the real part of orbits in hyperbolic spaces (2007) (0)
Partial Differential Equations Restriction of toral eigenfunctions to hypersurfaces (2009) (0)
3 0 Se p 20 03 EIGENVALUE SPACINGS FOR REGULAR GRAPHS (0)
NORMAL NUMBERS AND UNIFORM DISTRIBUTION (WEEKS 1-3) OPEN PROBLEMS IN NUMBER THEORY SPRING 2018, TEL AVIV UNIVERSITY (2018) (0)
LERAY MEASURE FOR NODAL SETS OF EIGENFUNCTIONS ON THE TORUS (2008) (0)
Nodal intersections and Lp restriction theorems on the torus (2015) (0)
An Exciting Year on Analysis in Number Theory (2007) (0)
SQUAREFREE VALUES OF QUADRATIC POLYNOMIALS COURSE NOTES, 2015 (2015) (0)
Prime lattice points in ovals (2018) (0)
OSCILLATORY INTEGRALS OPEN PROBLEMS IN NUMBER THEORY SPRING 2018, TEL AVIV UNIVERSITY (2018) (0)
Modelling the expected probability of correct assignment under uncertainty (2020) (0)
THE ABC CONJECTURE OPEN PROBLEMS IN NUMBER THEORY SPRING 2018, TEL AVIV UNIVERSITY (2018) (0)
ANALYTIC NUMBER THEORY, SPRING 2022 LECTURE 3: ARITHMETIC FUNCTIONS (2022) (0)
Restriction of toral eigenfunctions to hypersurfaces and nodal sets (2012) (0)
ANALYTIC NUMBER THEORY, SPRING IDEAL THEORY IN IMAGINARY QUADRATIC FIELDS (2022) (0)
Prime lattice points in ovals (2018) (0)
On the Eigenvalue Spacing Distribution for a Point Scatterer on the Flat Torus (2013) (0)
ANALYTIC NUMBER THEORY, SPRING 2022 THE CLASS NUMBER ONE PROBLEM (2022) (0)
SQUARE-FREE VALUES OF POLYNOMIALS OVER Fq[t] COURSE NOTES, 2015 (2015) (0)
APPLICATIONS TO EIGENFUNCTIONS OF THE LAPLACIAN ON THE TORUS OPEN PROBLEMS IN NUMBER THEORY SPRING 2018, TEL AVIV UNIVERSITY (2018) (0)
MODULAR FORMS 2019: DIRICHLET SERIES AND EULER PRODUCTS WEEK OF MAY 26, 2019 (2019) (0)
Low-lying Zeros of Quadratic Dirichlet L-Functions, Hyper-elliptic Curves and Random Matrix Theory (2013) (0)
On the Robin spectrum for the equilateral triangle (2022) (0)
Almost sure GOE fluctuations of energy levels for hyperbolic surfaces of high genus (2023) (0)
UNDERGRADUATE SEMINAR 2019/20: NOTES ON BINARY QUADRATIC FORMS (2020) (0)
ANALYTIC NUMBER THEORY, SPRING 2022: DIRICHLET’S THEOREM ON INFINITUDE OF PRIMES IN ARITHMETIC PROGRESSIONS (2022) (0)
Angles of Gaussian primes (2019) (0)

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