X-Nico

unusual facts about number theory



Bateman–Horn conjecture

In number theory, the Bateman–Horn conjecture is a statement concerning the frequency of prime numbers among the values of a system of polynomials, named after mathematicians Paul T. Bateman and Roger A Horn, of The University of Utah, who proposed it in 1962.

Cusp form

In number theory, a branch of mathematics, a cusp form is a particular kind of modular form, distinguished in the case of modular forms for the modular group by the vanishing in the Fourier series expansion (see q-expansion)

Daihachiro Sato

Daihachiro Sato (June 1, 1932 – May 28, 2008) was a Japanesemathematician who was awarded the Lester R. Ford Award in 1976 for his work in number theory, specifically on his work in the Diophantine representation of prime numbers.

Dedekind function

In number theory, Dedekind function can refer to any of three functions, all introduced by Richard Dedekind

Derrick Henry Lehmer

Lehmer's peripatetic career as a number theorist, with he and his wife taking numerous types of work in the United States and abroad to support themselves during the Great Depression, fortuitously brought him into the center of research into early electronic computing.

Elkies trinomial curves

In number theory, the Elkies trinomial curves are certain hyperelliptic curves constructed by Noam Elkies which have the property that rational points on them correspond to trinomial polynomials giving an extension of Q with particular Galois groups.

Felix Pollaczek

Félix Pollaczek (1 December 1892 in Vienna – 29 April 1981 at Boulogne-Billancourt) was an Austrian-French engineer and mathematician, known for numerous contributions to number theory, mathematical analysis, mathematical physics and probability theory.

Hans Rademacher

Hans Adolph Rademacher (3 April 1892, Wandsbeck, now Hamburg-Wandsbek – 7 February 1969, Haverford, Pennsylvania, USA) was a German mathematician, known for work in mathematical analysis and number theory.

Howard Hawks Mitchell

Howard Hawks Mitchell (January 13, 1885, Marietta, Ohio – 1943) was an American mathematician who worked on group theory and number theory and who introduced Mitchell's group.

Jacques Philippe Marie Binet

He made significant contributions to number theory, and the mathematical foundations of matrix algebra which would later lead to important contributions by Cayley and others.

Lemoine's conjecture

In number theory, Lemoine's conjecture, named after Émile Lemoine, also known as Levy's conjecture, after Hyman Levy, states that all odd integers greater than 5 can be represented as the sum of an odd prime number and an even semiprime.

Michael J. Larsen

Larsen is known for his research in arithmetic algebraic geometry, combinatorial group theory, combinatorics, and number theory.

Nesmith Ankeny

Nesmith Cornett Ankeny (1927, Walla Walla, Washington – 4 August 1993, Seattle) was an American mathematician specialising in number theory.

Philolaus

According to Aristotle writing in Metaphysics, Philolaus added a tenth unseen body, he called Counter-Earth, as without it there would be only nine revolving bodies, and the Pythagorean number theory required a tenth.

Plane partition

This formula may be viewed as the 2-dimensional analogue of Euler's product formula for the number of integer partitions of n.

Richard K. Guy

He is best known for co-authorship (with John Conway and Elwyn Berlekamp) of Winning Ways for your Mathematical Plays and authorship of Unsolved Problems in Number Theory (ISBN 0-387-94289-0), but he has also published over 100 papers and books covering combinatorial game theory, number theory and graph theory.

Timothy Browning

Timothy Browning is a mathematician working in number theory, examining the interface of analytic number theory and Diophantine geometry.

Toshikazu Sunada

Among his numerous contributions, the most famous one is a general construction of isospectral manifolds (1985), which is based on his geometric model of number theory, and is considered to be a breakthrough in the problem proposed by Mark Kac in "Can one hear the shape of a drum?" (see Hearing the shape of a drum).

Trygve Nagell

Trygve Nagell (July 13, 1895, Oslo – January 24, 1988, Uppsala) was a Norwegian mathematician, known for his works on the Diophantine equations within number theory.


see also

Abel's sum formula

Abel's summation formula, a formula used in number theory to compute series

Darmon

Henri Darmon (born in 1965), French Canadian mathematician specializing in number theory

Estermann

Theodor Estermann (1902–1991), mathematician, working in analytic number theory

Gisbert Wüstholz

He proved the Analytic subgroup theorem which together with similar other comprehensive results of this type has many applications to transcendental number theory.

Hilbert's theorem

Hilbert's irreducibility theorem, in number theory, concerning irreducible polynomials

Jeffrey Shallit

His publications include the books Algorithmic Number Theory (with Eric Bach), a noted text on algorithms, Automatic Sequences: Theory, Applications, Generalizations (with Jean-Paul Allouche), and A Second Course in Formal Languages and Automata Theory.

Quadratic reciprocity

Kenneth Ireland and Michael Rosen's A Classical Introduction to Modern Number Theory also has many proofs of quadratic reciprocity (and many exercises), and covers the cubic and biquadratic cases as well.

R. K. Rubugunday

Raghunath Krishna Rubugunday (1918–2000) was an Indian mathematician specializing in number theory notable for his contribution to Waring's problem.

Subbayya Sivasankaranarayana Pillai

Subbayya Sivasankaranarayana Pillai (1901–1950) was an Nagercoil native Indian mathematician specializing in number theory.

Toufik Mansour

He spends his summers as a visitor at institutions around the globe, for example, at the Center for Combinatorics at Nankai University (China), where he was a faculty member from 2004 to 2007, and at The John Knopfmacher Center for Applicable Analysis and Number Theory at the University of the Witwatersrand (South Africa).

Vera T. Sós

In number theory, Sós proved the three distance theorem, conjectured by Hugo Steinhaus.

Victor Shoup

His freely available (under the terms of the GNU GPL) C++ library of number theory algorithms, NTL, is widely used and well regarded for its high performance.

Wintner

Aurel Wintner, mathematician; one of the founders of probabilistic number theory