Derrick Norman Lehmer (1905-1997) was an American mathematician and a prominent figure in number theory and computational mathematics. He is best known for his work in the field of prime numbers and for developing algorithms and techniques for integer factorization. Lehmer contributed significantly to the use of computers in mathematics, particularly in the verification of large prime numbers. One of his notable contributions is the Lehmer sieve, a generalization of the classical sieve methods used to find prime numbers.

Ernst Meissel is not a widely recognized term or entity in popular discourse, historical context, or notable databases. It is possible that you may be referring to a specific individual, event, or concept that is not commonly known or recorded in available sources.

Frank Calegari is known for his work in the field of art, notably as a photographer and visual artist. He is recognized for his unique style and contributions to contemporary photography. His work often explores themes related to identity, culture, and perception.

Hans Peter Schlickewei is a mathematician known for his contributions to number theory and related fields. He has worked on various topics, including Diophantine approximation and transcendental number theory. Schlickewei has published several papers and has influenced research within these areas.

Henri Cohen is a prominent French mathematician known for his contributions to number theory, particularly in areas related to algebraic number theory, arithmetic geometry, and computational number theory. He has published extensively on topics such as the distribution of primes, modular forms, and the theory of elliptic curves. Cohen is also recognized for his work on algorithms in number theory, including those related to the computation of Class Field Theory and computational methods for handling arithmetic problems.

James A. Clarkson may refer to individuals with that name, but there's no widely recognized figure or significant entity known specifically as "James A. Clarkson" that is universally acknowledged in popular culture, academia, or any notable field as of my last update in October 2023. If you could provide more context or specify the area of interest (e.g.

Jean-Louis Colliot-Thélène is a prominent French mathematician known for his contributions to algebraic geometry, particularly in the areas of algebraic cycles, motives, and the theory of algebraic forms. He has worked extensively on themes related to the conjectures of motives and the study of rational points on algebraic varieties. Colliot-Thélène has published numerous papers and has been influential in advancing the understanding of these complex topics within mathematics.

Johannes van der Corput, also known as Jan van der Corput, was a Dutch mathematician, born on 20 November 1905 and died on 24 December 1991. He is best known for his contributions to the fields of analysis and number theory. One of his significant achievements is the development of the van der Corput method, which is a technique used in the study of exponential sums and has applications in various areas of number theory and harmonic analysis.

Judy A. Holdener is a mathematician known for her work in topology and mathematical education. She has contributed to both research and teaching, focusing on areas such as algebraic topology, and has been active in promoting mathematics at various educational levels. In addition to her research, Holdener has also been involved in outreach efforts to increase the engagement and participation of underrepresented groups in mathematics.

Jurjen Ferdinand Koksma was a Dutch mathematician and philosopher, known for his work in the fields of mathematics and number theory. He was born on September 15, 1903, and passed away on March 16, 1991. Koksma contributed significantly to the study of Diophantine approximation and is recognized for Koksma's theorem, which relates to the distribution of sequences and their uniformity in different contexts.

"Liu Gang" can refer to different things depending on the context. It is a common Chinese name, and there may be several individuals named Liu Gang who have gained prominence in various fields. One notable reference is Liu Gang, who is an academic or a professional in the field of science, technology, or business. For instance, in certain technological or academic circles, there might be a Liu Gang who has contributed significantly to their field.

Louis J. Mordell (1888–1972) was a notable British mathematician known for his work in number theory and algebra. He is particularly famous for the Mordell equation and Mordell’s theorem, which pertains to the properties of elliptic curves and Diophantine equations. His contributions laid foundational groundwork in these areas, and he was also known for his work related to algebraic numbers and rational points on curves.

Masahiko Fujiwara is a Japanese author and educator known for his contributions to the field of mathematics education. He has written extensively on mathematical pedagogy and the development of mathematical understanding.

Neal Koblitz is an American mathematician known for his work in the fields of number theory, algebra, and cryptography. He is particularly recognized for his contributions to elliptic curve cryptography, which has become a fundamental part of modern cryptographic systems. Koblitz introduced several important concepts and results in the theory of elliptic curves and their applications to secure communications.

Martin Kneser is known primarily for his contributions to mathematics, particularly in the field of topology and group theory. He is recognized for the Kneser conjecture, which relates to the combinatorial topology of spheres and the properties of manifolds. The conjecture proposes a specific relationship regarding the colorability of a certain class of sets, leading to significant developments in both combinatorial mathematics and geometrical topology. If you are asking about a specific context (e.g.

Ralph Ernest Powers does not appear to be a widely recognized figure or a topic of significant public interest up to October 2023. It is possible he could be a private individual, a lesser-known professional, or a character from a specific context (such as literature, film, or history) that is not well-documented in major sources.

In mathematics, a square-free element is an integer or a polynomial that is not divisible by the square of any prime number (in the case of integers) or not divisible by the square of any irreducible polynomial (in the case of polynomials). ### For Integers: An integer \( n \) is square-free if there is no prime \( p \) such that \( p^2 \) divides \( n \).

Patrick X. Gallagher is a name that may refer to several individuals, but one prominent figure is a well-known academic administrator. He served as the Chancellor of the University of Pittsburgh, a position he held from 2014 to 2022. In this role, he was responsible for overseeing the university's operations, strategic planning, and academic programs. Gallagher is recognized for his contributions to higher education, particularly in areas related to research and public service.

Peter Gustav Lejeune Dirichlet (1805–1859) was a prominent German mathematician known for his foundational contributions to number theory, analysis, and differential equations. He made significant advances in various areas of mathematics, particularly in the development of Dirichlet series and Dirichlet's theorem on arithmetic progressions.

Peter Montgomery is a prominent mathematician known primarily for his work in the field of number theory, particularly in algorithms related to prime numbers and integer factorization. He is well known for his contributions to computational number theory, including advancements in the development of various algorithms for factoring large integers, which have implications in cryptography. Montgomery is perhaps best recognized for the Montgomery reduction algorithm, which is an efficient method for performing modular multiplication.