
Glossary: Prime Pages: Top 5000: 
Ivan Vinogradov (18911983) began his studies in 1910
under A. A. Markov and Ya V Uspenski. This incited his
curiosity in number theory. He used trigonometric series in
attempts to solve deep problems in analytic number theory.
He completed his master's degree in 1915 and worked on
quadratic residues. He also generalized the results of
Voronay on the "Dirichlet Divisor Problem." His studies of
trigonometric series climaxed in his most celebrated work,
Some theorems concerning the theory of prime numbers
written in 1937 which provides a partial solution to the
Goldbach Conjecture. In it he proved that "every
sufficiently large odd integer can be expressed as the sum
of three odd primes." He was able to combine his "bilinear
form technique" and his "mean value theorem" to reduce the
Goldbach Ternary Problem to checking a finite number of
cases.
As a mathematician and number theorist, his contirbution was for a wide variety of mathematical fields in that his methods could be utilized to solve a great range of problems. As a man he possessed a great vitality. One writer said of him, "Always a fit man, and proud of his physical fitness, he remained healthy and active into his early 90s." Contributed by Jonathan Wolski
Chris K. Caldwell © 19992018 (all rights reserved)
