András Sárközy (born in
Budapest
Budapest (, ; ) is the capital and most populous city of Hungary. It is the ninth-largest city in the European Union by population within city limits and the second-largest city on the Danube river; the city has an estimated population ...
) is a
Hungarian mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
, working in
analytic and
combinatorial number theory, although his first works were in the fields of
geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is ...
and
classical analysis
Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions.
These theories are usually studied in ...
. He has the largest number of papers co-authored with
Paul Erdős (a total of 62); he has an
Erdős number
The Erdős number () describes the "collaborative distance" between mathematician Paul Erdős and another person, as measured by authorship of mathematical papers. The same principle has been applied in other fields where a particular individual ...
of one. He proved the
Furstenberg–Sárközy theorem
In mathematics, a square-difference-free set is a set of natural numbers, no two of which differ by a square number. Hillel Furstenberg and András Sárközy proved in the late 1970s the Furstenberg–Sárközy theorem of additive number theory s ...
that every sequence of
natural numbers with positive
upper density In number theory, natural density (also referred to as asymptotic density or arithmetic density) is one method to measure how "large" a subset of the set of natural numbers is. It relies chiefly on the probability of encountering members of the de ...
contains two members whose difference is a full square. He was elected a corresponding member (1998), and a full member (2004) of the
Hungarian Academy of Sciences. He received the
Széchenyi Prize
The Széchenyi Prize ( hu, Széchenyi-díj), named after István Széchenyi, is a prize given in Hungary by the state, replacing the former State Prize in 1990 in recognition of those who have made an outstanding contribution to academic life in Hu ...
(2010). He is the father of the mathematician
Gábor N. Sárközy.
References
*
{{DEFAULTSORT:Sarkozy, Andras
Living people
1941 births
Mathematicians from Budapest
Members of the Hungarian Academy of Sciences
Number theorists