Add to ORKG2000 Mathematics Subject Classification: 11D75, 11D85, 11L20, 11N05, 11N35, 11N36, 11P05, 11P32, 11P55.The main purpose of this survey is to introduce the inexperienced reader to additive prime number theory and some related branches of analytic number theory. We state the main problems in the field, sketch their history and the basic machinery used to study them, and try to give a representative sample of the directions of current research
The most famous open problems concerning prime numbers are binary additive problems, with the twin-p...
An elementary construction is given of an infinite sequence of natural numbers, having at least two ...
AbstractIt is known that a system of two additive equations of degreekwith greater than 4kvariables ...
Loo-Keng Hua was a master mathematician, best known for his work using analytic methods in number th...
Following an idea of Rowland [Row] we give a conjectural way to gen-erate increasing sequences of pr...
In the first part of the thesis we prove that every sufficiently large odd integer can be written as...
In this thesis we use recent versions of the Circle Method to prove three theorems in the area of ad...
This PhD thesis is devoted to study two problems in additive number theory with prime summands; the ...
The undecidability of the additive theory of primes (with identity) as well as the theory Th(N,+, n ...
We collected several results in integers of additive number theory and translated to results in F_q[...
Abstract. The ternary Goldbach conjecture, or three-primes problem, as-serts that every odd integer ...
"Algebraic Number Theory and Related Topics 2013". December 9～13, 2013. edited by Tadashi Ochiai, Ta...
Operation instead of screening method to solve the congruence equation. Discussion on the expression...
The Goldbach-Euler binary problem is formulated as follows: Any even number, starting from 4, can ...
In the first part of this thesis various problems in diophantine approximation are considered, which...
The most famous open problems concerning prime numbers are binary additive problems, with the twin-p...
An elementary construction is given of an infinite sequence of natural numbers, having at least two ...
AbstractIt is known that a system of two additive equations of degreekwith greater than 4kvariables ...
Loo-Keng Hua was a master mathematician, best known for his work using analytic methods in number th...
Following an idea of Rowland [Row] we give a conjectural way to gen-erate increasing sequences of pr...
In the first part of the thesis we prove that every sufficiently large odd integer can be written as...
In this thesis we use recent versions of the Circle Method to prove three theorems in the area of ad...
This PhD thesis is devoted to study two problems in additive number theory with prime summands; the ...
The undecidability of the additive theory of primes (with identity) as well as the theory Th(N,+, n ...
We collected several results in integers of additive number theory and translated to results in F_q[...
Abstract. The ternary Goldbach conjecture, or three-primes problem, as-serts that every odd integer ...
"Algebraic Number Theory and Related Topics 2013". December 9～13, 2013. edited by Tadashi Ochiai, Ta...
Operation instead of screening method to solve the congruence equation. Discussion on the expression...
The Goldbach-Euler binary problem is formulated as follows: Any even number, starting from 4, can ...
In the first part of this thesis various problems in diophantine approximation are considered, which...
The most famous open problems concerning prime numbers are binary additive problems, with the twin-p...
An elementary construction is given of an infinite sequence of natural numbers, having at least two ...
AbstractIt is known that a system of two additive equations of degreekwith greater than 4kvariables ...