Sulla partizione degli interi in addendi primi col procedimento del residuo minimo.
Summation of singular series corresponding to representations of numbers by some quadratic forms in twelve variables.
Summation of singular series corresponding to the representation of integers by some quadratic forms in fourteen variables.
Summen von Quadranten in Zahlringen.
Sum-product estimates applied to Waring's problem mod .
Sums of 19 biquadrates : on the representation of large integers
Sums of 2m-th powers of rational functions in one variable over real closed fields.
Sums of certain double -hypergeometric series
Sums of cubes of polynomials
Sums of Cubes of Square-Free Numbers.
Sums of Cubes of Square-Free Numbers II.
Sums of distinct squares
Sums of fifth powers and related topics
Sums of Four Cubes.
Sums of k-th powers in the ring of polynomials with integer coefficients
Sums of one prime and two prime squares
Sums of positive density subsets of the primes
We show that if A and B are subsets of the primes with positive relative lower densities α and β, then the lower density of A+B in the natural numbers is at least , which is asymptotically best possible. This improves results of Ramaré and Ruzsa and of Chipeniuk and Hamel. As in the latter work, the problem is reduced to a similar problem for subsets of using techniques of Green and Green-Tao. Concerning this new problem we show that, for any square-free m and any of densities α and β, the...
Sums of powers: an arithmetic refinement to the probabilistic model of Erdős and Rényi
Erdős and Rényi proposed in 1960 a probabilistic model for sums of s integral sth powers. Their model leads almost surely to a positive density for sums of s pseudo sth powers, which does not reflect the case of sums of two squares. We refine their model by adding arithmetical considerations and show that our model is in accordance with a zero density for sums of two pseudo-squares and a positive density for sums of s pseudo sth powers when s ≥ 3. Moreover, our approach supports a conjecture of...
Sums of Prime Powers.
Sums of sets of group elements