Sums of Prime Powers.
Sums of Products of Certain Arthmetical Functions
Sums of products of -Euler polynomials and numbers.
Sums of reciprocals of additive functions
Sums of reciprocals of additive functions running over short intervals
Letting f(n) = A log n + t(n), where t(n) is a small additive function and A a positive constant, we obtain estimates for the quantities and , where H = H(x) satisfies certain growth conditions, p runs over prime numbers and Q is a polynomial with integer coefficients, whose leading coefficient is positive, and with all its roots simple.
Sums of reciprocals of triple binomial coefficients.
Sums of roots of unity.
Sums of sets of group elements
Sums of some multiplicative functions over a special set of integers
Sums of squares and products of Jacobsthal numbers.
Sums of squares and quadratric forms in real algebraic geometry
Sums of Squares Coprime in Pairs
Asymptotic formulae are provided for the number of representations of a natural number as the sum of four and of three squares that are pairwise coprime.
Sums of squares, cubes, and higher powers.
Sums of Squares in Central Simple Algebras.
Sums of Squares in Division Algebras.
Sums of squares in
Sums of squares in rings of integers with 2 inverted
We prove that in a ring of S-integers containing 1/2, any totally positive element is a sum of five squares. We also exhibit examples of such rings where some totally positive elements cannot be written as the sum of four squares.
Sums of squares of integral linear forms
Sums of Squares of Linear Forms.
Sums of the additive divisor problem type and the inner product method.