Simultaneous quadratic equations II
Simultaneous quadratic inequalities
Slim exceptional sets for sums of fourth and fifth powers
Small prime solutions of linear ternary equations
Small Prime Solutions of some Additive Equations.
Small prime solutions of ternary linear equations
Small solutions of cubic equations with prime variables in arithmetic progressions
Solvability of 𝔭-adic diagonal equations
Some asymptotics for cranks
Some new estimates for G(k) in Waring's problem
Some problems about the ternary quadratic form m₁² + m₂² + m₃²
Some problems of 'Partitio numerorum'; I: A new solution of Waring`s problem
Some Problems of "Partitio numerorum": II Proof that every large number is the sum of at most 21 biquadrates
Some problems of "Partitio Numerorum": IV The singular series in Waring's Problem and the value of the number G (k)
Some Remarks on Vinogradov's Mean Value Theorem and Tarry's Problem.
Sommes de carrés dans [Book]
Sommes de diviseurs et structure multiplicative des entiers
Study of rational cubic forms via the circle method [after D.R. Heath-Brown, C. Hooley, and R.C. Vaughan]
Sum of higher divisor function with prime summands
Let be an integer. Recently, Hu and Lü offered the asymptotic formula for the sum of the higher divisor function where represents the th divisor function. We give the Goldbach-type analogy of their result. That is to say, we investigate the asymptotic behavior of the sum where are prime variables.
Sums of Cubes of Square-Free Numbers.