Georgy Petrovich Egorychev (or Yegorychev) (Георгий Петрович Егорычев, born 1938) is a Russian mathematician, known for the

Egorychev method The Egorychev method is a collection of techniques introduced by Georgy Egorychev for finding identities among sums of binomial coefficients, Stirling numbers, Bernoulli numbers, Harmonic numbers, Catalan numbers and other combinatorial numbers. T ...

Biography

He graduated in mathematics from

Ural State University The Ural State University (russian: Урáльский госудáрственный университéт и́мени А.М. Гóрького, , often shortened to USU, УрГУ) is a public university located in the city of Yekaterinburg, Sve ...

and in 1960 became a teacher of mathematics in secondary school. In 1982 G. P. Egorychev and D. I. Falikman shared the

Fulkerson Prize The Fulkerson Prize for outstanding papers in the area of discrete mathematics is sponsored jointly by the Mathematical Optimization Society (MOS) and the American Mathematical Society (AMS). Up to three awards of $1,500 each are presented at e ...

for (independently) proving

van der Waerden Bartel Leendert van der Waerden (; 2 February 1903 – 12 January 1996) was a Dutch mathematician and historian of mathematics. Biography Education and early career Van der Waerden learned advanced mathematics at the University of Amsterd ...

's conjecture that the matrix with all entries equal has the smallest

permanent Permanent may refer to: Art and entertainment * ''Permanent'' (film), a 2017 American film * ''Permanent'' (Joy Division album) * "Permanent" (song), by David Cook Other uses * Permanent (mathematics), a concept in linear algebra * Permanent (cy ...

of any

doubly stochastic matrix In mathematics, especially in probability and combinatorics, a doubly stochastic matrix (also called bistochastic matrix) is a square matrix X=(x_) of nonnegative real numbers, each of whose rows and columns sums to 1, i.e., :\sum_i x_=\sum_j x_=1 ...

.D. I. Falikman, "A proof of the van der Waerden conjecture on the permanent of a doubly stochastic matrix," ''Matematicheskie Zametki'' 29: 931–938, 1981. Egorychev is now a professor in the Department of Mathematical Support of Discrete Devices and Systems, Institute of Mathematics and Fundamental Informatics at

Siberian Federal University Siberian Federal University (russian: Сибирский федеральный университет, ''Sibirskiĭ federalʹnyĭ universitet'', often shortened to SibFU, СФУ) is a multidisciplinary university located in Krasnoyarsk in Siberia ...

(Russian abbreviation is SFU, SibFU, or СФУ), founded in 2006. He was an Invited Speaker of the ICM in 1986 in

Berkeley, California Berkeley ( ) is a city on the eastern shore of San Francisco Bay in northern Alameda County, California, United States. It is named after the 18th-century Irish bishop and philosopher George Berkeley. It borders the cities of Oakland and Emer ...

. He was awarded a Scholarship of the President of Russia in 1994–1996 and again in 1997–2000.

Research

His research deals with combinatorial analysis, multidimensional complex analysis, and algorithms of integral representation and calculation of combinatorial sums and their applications in various fields of mathematics and science. In particular, his research has applied the Egorychev method to the basis of tensor calculus and to the theory of matrix functions, including permanents and determinants over various algebraic systems. He has published over 80 articles.

Selected publications

*Егорычев Г.П. (2013). Новое семейство полиномиальных тождеств для вычисления детерминантов. Доклады Академии Наук, т. 452, No.1, с. 1–3. (A new family of polynomial identities for the calculation of determinants. Reports of the Academy of Sciences, vol. 452, No. 1, p. 1–3.) *Egorychev G.P. (2009). Method of coefficients: an algebraic characterization and recent applications. Springer, Adv. in Combin. Math.; Math. Proc. of the Waterloo Workshop in Computer Algebra 2008, devoted to the 70th birthday of G. Egorychev, pp. 1–30. *Egorychev G.P. and Zima E.V. (2008). Integral representation and Algorithms for closed form summation. Handbook of Algebra, vol. 5, ed. M. Hazewinkel, Elsevier, pp. 459–529. *Егорычев Г.П. (2008). Дискретная математика. Перманенты. Учебное пособие. Красноярский государственный университет, Красноярск. 272 стр. (Discrete Math. Permanent. Tutorial. Krasnoyarsk State University, Krasnoyarsk. 272 pp.)

References

{{DEFAULTSORT:Egorychev, Georgy Petrovich 1938 births Living people 20th-century Russian mathematicians 21st-century Russian mathematicians Ural State University alumni