What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Combinatorics (33.99%)
- Pure mathematics (30.72%)
- Mathematical analysis (23.53%)
What were the highlights of his more recent work (between 2017-2021)?
- Combinatorics (33.99%)
- Pure mathematics (30.72%)
- Sequence (9.15%)
In recent papers he was focusing on the following fields of study:
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.
Between 2017 and 2021, his most popular works were:
- 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)
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