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- Zeév Rudnick

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
40
Citations
4,859
112
World Ranking
1408
National Ranking
22

2013 - Fellow of the American Mathematical Society

- Mathematical analysis
- Complex number
- Quantum mechanics

Zeév Rudnick mainly investigates Combinatorics, Conjecture, Discrete mathematics, Mathematical analysis and Random matrix. His Combinatorics study integrates concerns from other disciplines, such as Affine group, Affine combination, Affine transformation and Affine hull, Affine involution. His Conjecture research includes elements of Number theory, Selberg trace formula, Ramanujan's sum and Fourier series.

His research in Mathematical analysis intersects with topics in Quantum, Expectation value, Hecke operator and Eigenfunction. His Random matrix research spans across into fields like Multivariate random variable, Centrosymmetric matrix, Random function, Random element and Pascal matrix. Zeév Rudnick undertakes multidisciplinary investigations into Multivariate random variable and Pure mathematics in his work.

- Zeros of principal $L$-functions and random matrix theory (490 citations)
- Zeros of principal $L$-functions and random matrix theory (490 citations)
- The behaviour of eigenstates of arithmetic hyperbolic manifolds (355 citations)

Combinatorics, Pure mathematics, Mathematical analysis, Eigenfunction and Laplace operator are his primary areas of study. His work carried out in the field of Combinatorics brings together such families of science as Sequence and Field. The various areas that Zeév Rudnick examines in his Pure mathematics study include Expected value and Distribution.

His Eigenfunction research is multidisciplinary, relying on both Subsequence, Curvature, Torus and Probability measure. His Laplace operator research incorporates themes from Upper and lower bounds and Eigenvalues and eigenvectors. Zeév Rudnick has researched Conjecture in several fields, including Number theory, Random matrix and Integer.

- Combinatorics (33.99%)
- Pure mathematics (30.72%)
- Mathematical analysis (23.53%)

- Combinatorics (33.99%)
- Pure mathematics (30.72%)
- Sequence (9.15%)

His primary areas of study are Combinatorics, Pure mathematics, Sequence, Degree and Arithmetic function. His work in the fields of Combinatorics, such as Conjecture, overlaps with other areas such as Radial distribution function. His Pure mathematics research incorporates elements of Expected value, Distribution, Gaussian integer and Dirac delta function.

Zeév Rudnick combines subjects such as Uniform distribution, Random matrix, Function field and Tangent with his study of Gaussian integer. In his study, which falls under the umbrella issue of Sequence, Diophantine inequality, Lebesgue integration, Lacunary function and Energy is strongly linked to Metric. His Arithmetic function research includes themes of Quadratic equation, Algebraic number field, Automorphic form and Dedekind zeta function.

- Sums of divisor functions in Fq[t] and matrix integrals (34 citations)
- Angles of Gaussian primes (10 citations)
- A metric theory of minimal gaps (4 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Zeros of principal $L$-functions and random matrix theory

Zeév Rudnick;Zeév Rudnick;Peter Clive Sarnak.

Duke Mathematical Journal **(1996)**

652 Citations

The behaviour of eigenstates of arithmetic hyperbolic manifolds

Zeév Rudnick;Peter Sarnak.

Communications in Mathematical Physics **(1994)**

410 Citations

Density of integer points on affine homogeneous varieties

W. Duke;Z. Rudnick;Z. Rudnick;Peter Clive Sarnak.

Duke Mathematical Journal **(1993)**

309 Citations

ON SELBERG'S EIGENVALUE CONJECTURE

Wenzhi Luo;Zeév Rudnick;Zeév Rudnick;Peter Sarnak.

Geometric and Functional Analysis **(1995)**

223 Citations

The Pair Correlation Function of Fractional Parts of Polynomials

Zeév Rudnick;Peter Sarnak.

Communications in Mathematical Physics **(1998)**

152 Citations

Hecke theory and equidistribution for the quantization of linear maps of the torus

Pär Kurlberg;Zeév Rudnick.

Duke Mathematical Journal **(2000)**

123 Citations

Linear statistics of low-lying zeros of L-functions

C. P. Hughes;Z. Rudnick.

Quarterly Journal of Mathematics **(2003)**

113 Citations

The distribution of spacings between the fractional parts of n2α

Zeév Rudnick;Peter Clive Sarnak;Alexandra Zaharescu.

Inventiones Mathematicae **(2001)**

113 Citations

Traces of high powers of the Frobenius class in the hyperelliptic ensemble

Zeév Rudnick.

Acta Arithmetica **(2010)**

102 Citations

On the Volume of Nodal Sets for Eigenfunctions of the Laplacian on the Torus

Zeév Rudnick;Igor Wigman.

Annales Henri Poincaré **(2008)**

99 Citations

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