Small gaps in coefficients of -functions and -free numbers in short intervals.
Small solutions of cubic equations with prime variables in arithmetic progressions
Small values of the Euler function and the Riemann hypothesis
Smooth solutions to the equation: the Conjecture
This paper studies integer solutions to the equation in which none of have a large prime factor. We set , and consider primitive solutions () having no prime factor larger than , for a given finite . We show that the Conjecture implies that for any fixed the equation has only finitely many primitive solutions. We also discuss a conditional result, showing that the Generalized Riemann hypothesis (GRH) implies that for any fixed the equation has infinitely many primitive solutions....
Solution to a problem of Bombieri
We solve a problem of Bombieri, stated in connection with the «prime number theorem» for function fields.
Solving a linear equation in a set of integers I
Solving a linear equation in a set of integers II
Some applications of Bombieri's estimate for exponential sums
Some applications of Elliot's mean-value theorem.
Some applications of large sieve in Riemann surfaces
Some applications of linear forms in logarithms
Some Applications of Sieve Methods in Algebra Number Fields.
Some arithmetic functions involving exponential divisors.
Some asymptotic formulas on generalized divisor functions, III
Some consequences of the Riemann hypothesis
Some new estimates in the Dirichlet divisor problem
Some Number Theoretical Products.
Some numerical results in the Selberg sieve method
Some problems about the ternary quadratic form m₁² + m₂² + m₃²
Some problems in multidimensional analytic number theory