What is he best known for?
The fields of study he is best known for:
- Algebra
- Combinatorics
- Mathematical analysis
The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Bounded function, Affine transformation and Integer.
His Combinatorics study frequently draws connections to other fields, such as Lattice.
The various areas that Jeffrey C. Lagarias examines in his Discrete mathematics study include Joint spectral radius, Finite set and Delone set.
His Bounded function study incorporates themes from Legendre polynomials, Canonical form, Lebesgue measure, Algebraic curve and Spectral set.
Jeffrey C. Lagarias has included themes like Coset, Lattice and Numerical digit, Arithmetic in his Affine transformation study.
His work carried out in the field of Integer brings together such families of science as Structure, P versus NP problem and Algorithm, Theory of computation.
His most cited work include:
- Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions (5339 citations)
- The 3x + 1 Problem and its Generalizations (376 citations)
- Two-scale difference equations II. local regularity, infinite products of matrices and fractals (364 citations)
What are the main themes of his work throughout his whole career to date?
Jeffrey C. Lagarias spends much of his time researching Combinatorics, Discrete mathematics, Pure mathematics, Function and Integer.
His Combinatorics study combines topics from a wide range of disciplines, such as Upper and lower bounds and Bounded function.
The study incorporates disciplines such as Sequence and Finite set in addition to Discrete mathematics.
As part of his studies on Pure mathematics, he often connects relevant subjects like Mathematical analysis.
His studies in Integer integrate themes in fields like Multiplicative function and Number theory.
Jeffrey C. Lagarias works in the field of Diophantine equation, namely Diophantine set.
He most often published in these fields:
- Combinatorics (53.85%)
- Discrete mathematics (31.36%)
- Pure mathematics (15.98%)
What were the highlights of his more recent work (between 2012-2021)?
- Combinatorics (53.85%)
- Pure mathematics (15.98%)
- Discrete mathematics (31.36%)
In recent papers he was focusing on the following fields of study:
Jeffrey C. Lagarias mostly deals with Combinatorics, Pure mathematics, Discrete mathematics, Integer and Divisibility rule.
Jeffrey C. Lagarias combines subjects such as Function, Monic polynomial and Type with his study of Combinatorics.
His Pure mathematics research integrates issues from Point process, Commutator and PSL.
In his articles, Jeffrey C. Lagarias combines various disciplines, including Discrete mathematics and Vertex.
His Integer study combines topics in areas such as Integer lattice, State, Time complexity and Prime factor.
His Riemann zeta function research includes elements of Half-integer and Counterexample.
Between 2012 and 2021, his most popular works were:
- Euler's constant: Euler's work and modern developments (111 citations)
- Configuration spaces of equal spheres touching a given sphere: The twelve spheres problem (12 citations)
- Polyharmonic Maass forms for PSL(2, Z) (12 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Mathematical analysis
- Geometry
His main research concerns Combinatorics, Pure mathematics, Monic polynomial, Configuration space and Hausdorff dimension.
The Combinatorics study combines topics in areas such as Structure, Type and Order.
When carried out as part of a general Pure mathematics research project, his work on Riemann zeta function is frequently linked to work in Alternative hypothesis, therefore connecting diverse disciplines of study.
His Riemann zeta function research is multidisciplinary, relying on both Ergodic theory, Gamma function, Existential quantification and Counterexample.
His research in Configuration space intersects with topics in Function, Motion, Radius and Factorization.
Jeffrey C. Lagarias performs multidisciplinary study in the fields of Generic polynomial and Discrete mathematics via his papers.
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