What is he best known for?
The fields of study he is best known for:
- Prime number
- Algebra
- Number theory
Carl Pomerance spends much of his time researching Discrete mathematics, Combinatorics, Prime number, Prime factor and Function.
His Discrete mathematics research incorporates themes from Algorithm and Carmichael number.
His work deals with themes such as Upper and lower bounds, Distribution and Euler's formula, which intersect with Combinatorics.
His study on Miller–Rabin primality test, Primality test and Lucas primality test is often connected to Higher education as part of broader study in Prime number.
The concepts of his Prime factor study are interwoven with issues in General number field sieve, Multiplicative function, Arithmetic function and Normal number.
His work in Function addresses issues such as Natural number, which are connected to fields such as Binary logarithm.
His most cited work include:
- Prime numbers : a computational perspective (549 citations)
- On a problem of Oppenheim concerning “factorisatio numerorum” (278 citations)
- There are infinitely many Carmichael numbers (256 citations)
What are the main themes of his work throughout his whole career to date?
Carl Pomerance mainly investigates Combinatorics, Discrete mathematics, Integer, Function and Prime.
His Combinatorics research is multidisciplinary, relying on both Upper and lower bounds and Distribution.
His work on Discrete mathematics is being expanded to include thematically relevant topics such as Order.
Carl Pomerance has researched Conjecture in several fields, including Riemann hypothesis, Congruence relation and Coprime integers.
His study of Miller–Rabin primality test is a part of Primality test.
His work carried out in the field of Miller–Rabin primality test brings together such families of science as Primality certificate and Solovay–Strassen primality test.
He most often published in these fields:
- Combinatorics (57.66%)
- Discrete mathematics (33.94%)
- Integer (15.69%)
What were the highlights of his more recent work (between 2016-2021)?
- Combinatorics (57.66%)
- Conjecture (12.04%)
- Prime (13.87%)
In recent papers he was focusing on the following fields of study:
Carl Pomerance mostly deals with Combinatorics, Conjecture, Prime, Upper and lower bounds and Integer.
His studies deal with areas such as Riemann hypothesis and Bounded function as well as Combinatorics.
His research in Conjecture intersects with topics in Class, Mathematical economics and Distribution.
His studies in Integer integrate themes in fields like Number theory, Hypotenuse, Sequence and Gaussian integer.
His research on Gaussian integer concerns the broader Discrete mathematics.
His work in the fields of Coin problem, Graph and Miller–Rabin primality test overlaps with other areas such as Gaussian.
Between 2016 and 2021, his most popular works were:
- The Erdős conjecture for primitive sets (9 citations)
- Primality testing with Gaussian periods (8 citations)
- Squarefree smooth numbers and Euclidean prime generators (5 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Prime number
- Combinatorics
His main research concerns Combinatorics, Conjecture, Elliptic curve, Prime and Order.
His work carried out in the field of Combinatorics brings together such families of science as Function and Distribution.
His Conjecture research includes elements of Prime number, Upper and lower bounds, Connection and Bounded function.
His Elliptic curve research is multidisciplinary, relying on both Rational number and Degree.
The various areas that Carl Pomerance examines in his Order study include Prime number theorem, Term and Riemann hypothesis.
His Prime factor research is multidisciplinary, incorporating perspectives in Interval, Square-free integer, Applied mathematics and Euclidean geometry.
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