01.01.06 (Mathematical logic, algebra, and number theory)
E-mail:
Keywords:
prime numbers,
Fermat numbers,
Mersenne numbers,
Repunit numbers,
integer sequences.
UDC:
511.2, 512, 519.4
Subject:
The concrete theory of numbers:
Diophantine equations; Prime numbers;
Fermat numbers, Mersenne numbers, Repunit numbers; Numerical sequences, Integer Sequences.
Main publications:
B. V. Tarasov. O svobodnykh assotsiativnykh algebrakh // Algebra i logika, 1967, tom 6, # 4, s. 93–105.
B. V. Tarasov. Ob odnom klasse inertnykh polugruppovykh kolets // Matem. zametki, 1977, tom 22, # 3, s. 453–463.
B. V. Tarasov. O podalgebrakh svobodnoi assotsiativnoi algebry // Matem. zametki, 1979, tom 26, # 2, s. 161–171.
Boris V. Tarasov. The concrete theory of numbers: initial numbers and wonderful properties of numbers repunit // Preprint 2007, 6 Apr 2007
[Preprint available at
http://arXiv.org/abs/0704.0875].
Boris V. Tarasov. The concrete theory of numbers: Problem of simplicity of Fermat number-twins // Preprint 2007, 6 Jul 2007
[Preprint available at
http://arXiv.org/abs/0707.0907].
Boris V. Tarasov. The concrete theory of numbers : New Mersenne conjectures. Simplicity and other wonderful properties of numbers $L(n) = 2^{2n}\pm2^n\pm1$ // Preprint 2008, 24 Apr 2008
[Preprint available at
http://arXiv.org/abs/0804.3830].
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