Number theory in Francis Mertens' papers

Andrzej Schinzel

Antiquitates Mathematicae (2011)

  • Volume: 5
  • ISSN: 1898-5203

Abstract

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A survey of Mertens's contributions to number theory divided into the following parts: power residues, irreducibility of polynomials, systems of linear equations, binary quadratic forms, theta functions, complex multiplication, transcendental numbers, Gauss sums, zeta and L functions, distribution of primes, asymptotic formulas for arithmetic functions, foundations of arithmetic in number fields, cyclotomic fields, Kronecker-Weber theorem and its generalizations, finite fields.

How to cite

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Andrzej Schinzel. "Number theory in Francis Mertens' papers." Antiquitates Mathematicae 5 (2011): null. <http://eudml.org/doc/292847>.

@article{AndrzejSchinzel2011,
abstract = {A survey of Mertens's contributions to number theory divided into the following parts: power residues, irreducibility of polynomials, systems of linear equations, binary quadratic forms, theta functions, complex multiplication, transcendental numbers, Gauss sums, zeta and L functions, distribution of primes, asymptotic formulas for arithmetic functions, foundations of arithmetic in number fields, cyclotomic fields, Kronecker-Weber theorem and its generalizations, finite fields.},
author = {Andrzej Schinzel},
journal = {Antiquitates Mathematicae},
keywords = {new proofs, number theory, history of mathematics},
language = {eng},
pages = {null},
title = {Number theory in Francis Mertens' papers},
url = {http://eudml.org/doc/292847},
volume = {5},
year = {2011},
}

TY - JOUR
AU - Andrzej Schinzel
TI - Number theory in Francis Mertens' papers
JO - Antiquitates Mathematicae
PY - 2011
VL - 5
SP - null
AB - A survey of Mertens's contributions to number theory divided into the following parts: power residues, irreducibility of polynomials, systems of linear equations, binary quadratic forms, theta functions, complex multiplication, transcendental numbers, Gauss sums, zeta and L functions, distribution of primes, asymptotic formulas for arithmetic functions, foundations of arithmetic in number fields, cyclotomic fields, Kronecker-Weber theorem and its generalizations, finite fields.
LA - eng
KW - new proofs, number theory, history of mathematics
UR - http://eudml.org/doc/292847
ER -

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