|Lev G. Schnirelmann|
|Born|| January 2, 1905|
Gomel, Russian Empire
|Died||September 24, 1938 (aged 33)|
Moscow, RSFSR, USSR
|Institutions||Steklov Mathematical Institute|
|Alma mater||Moscow State University|
|Doctoral advisor||Nikolai Luzin|
|Known for||Schnirelmann density |
Lev Genrikhovich Schnirelmann (also Shnirelman, Shnirel'man; Russian: Лев Ге́нрихович Шнирельма́н; January 2, 1905 – September 24, 1938) was a Soviet mathematician who sought to prove Goldbach's conjecture. In 1930, using the Brun sieve, he proved that any natural number greater than 1 can be written as the sum of not more than C prime numbers, where C is an effectively computable constant.
His other fundamental work is joint with Lazar Lyusternik. Together, they developed the Lyusternik-Schnirelmann category, as it is called now, based on the previous work by Henri Poincaré, David Birkhoff, and Marston Morse. The theory gives a global invariant of spaces, and has led to advances in differential geometry and topology.
- Schnirelmann, L.G. (1930). "On the additive properties of numbers", first published in "Proceedings of the Don Polytechnic Institute in Novocherkassk" (in Russian), vol XIV (1930), pp. 3-27, and reprinted in "Uspekhi Matematicheskikh Nauk" (in Russian), 1939, no. 6, 9–25.
- Schnirelmann, L.G. (1933). First published as "Über additive Eigenschaften von Zahlen" in "Mathematische Annalen" (in German), vol 107 (1933), 649-690, and reprinted as "On the additive properties of numbers" in "Uspekhi Matematicheskikh Nauk" (in Russian), 1940, no. 7, 7–46.
- Lev Schnirelmann at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Lev Schnirelmann", MacTutor History of Mathematics archive, University of St Andrews.
- Lev Genrihovich Schnirelmann, a popular article by V. Tikhomirov and V. Uspensky (in Russian)
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