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- Carl Pomerance

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
43
Citations
9,620
252
World Ranking
1147
National Ranking
530

2013 - Fellow of the American Mathematical Society

2004 - Fellow of the American Association for the Advancement of Science (AAAS)

- 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.

- 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)

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.

- Combinatorics (57.66%)
- Discrete mathematics (33.94%)
- Integer (15.69%)

- Combinatorics (57.66%)
- Conjecture (12.04%)
- Prime (13.87%)

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.

- The Erdős conjecture for primitive sets (9 citations)
- Primality testing with Gaussian periods (8 citations)
- Squarefree smooth numbers and Euclidean prime generators (5 citations)

- 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.

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.

Prime Numbers: A Computational Perspective

Richard E. Crandall;Carl Pomerance.

**(2012)**

1607 Citations

Prime Numbers: A Computational Perspective

Richard E. Crandall;Carl Pomerance.

**(2012)**

1607 Citations

There are infinitely many Carmichael numbers

William Robert Alford;Andrew Granville;Carl Pomerance.

Annals of Mathematics **(1994)**

669 Citations

There are infinitely many Carmichael numbers

William Robert Alford;Andrew Granville;Carl Pomerance.

Annals of Mathematics **(1994)**

669 Citations

On a problem of Oppenheim concerning “factorisatio numerorum”

E.R Canfield;Paul Erdös;Carl Pomerance.

Journal of Number Theory **(1983)**

468 Citations

On a problem of Oppenheim concerning “factorisatio numerorum”

E.R Canfield;Paul Erdös;Carl Pomerance.

Journal of Number Theory **(1983)**

468 Citations

On distinguishing prime numbers from composite numbers

Leonard M. Adleman;Carl Pomerance;Robert S. Rumely.

Annals of Mathematics **(1983)**

384 Citations

On distinguishing prime numbers from composite numbers

Leonard M. Adleman;Carl Pomerance;Robert S. Rumely.

Annals of Mathematics **(1983)**

384 Citations

Advances in Cryptology — CRYPTO ’87

Carl Pomerance.

**(1988)**

359 Citations

Advances in Cryptology — CRYPTO ’87

Carl Pomerance.

**(1988)**

359 Citations

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