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.

As of my last knowledge update in October 2021, there is no widely recognized entity, product, or concept known as "Pilar Bayer." It’s possible that it may refer to a person, brand, or product that has gained recognition or has emerged since then. If you have a specific context in mind (such as arts, science, business, etc.

Robert Alexander Rankin is a British author known for his unique blend of fantasy, science fiction, and humor. He has written numerous novels that often feature surreal elements, eccentric characters, and a whimsical approach to storytelling. His works frequently draw on themes from popular culture, mythology, and various literary genres, making them appealing to a diverse audience. Some of his well-known series and standalone novels include "The Brentford Trilogy," which follows the humorous adventures of characters in a fictional suburban London.

There isn't any widely recognized figure, event, or concept known as "Roman Holowinsky" in the public domain up to my last update in October 2023. It's possible that the name refers to a private individual, a lesser-known figure, or could be a recent development after my last update.

Samuel James Patterson could refer to different individuals, as names can be common and applied to various people in different contexts. Without additional context, it's challenging to provide specific information about a person named Samuel James Patterson.

As of my last knowledge update in October 2021, there might not be a widely recognized figure named Samuel Yates. However, it's possible that someone by that name has gained prominence or relevance in a specific field since then.

Serge Lang (1927–2005) was a prominent French-American mathematician known for his contributions to various fields of mathematics, particularly number theory, algebra, and mathematical education. He made significant advances in the understanding of algebraic groups, transcendental number theory, and was also known for his work in the area of modular forms. In addition to his research contributions, Lang was an influential author, having written numerous textbooks and monographs that have been widely used in the mathematical community.

Steven J. Miller is a mathematician and professor known for his work in number theory, combinatorics, and mathematical education. He has published numerous research papers and is recognized for his contributions to the field of mathematics as well as for his efforts in promoting mathematics education. He is also known for his ability to communicate complex mathematical concepts in an accessible way, making him a popular figure in both academic and educational circles.