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Families of even non-congruent numbers with prime factors in each odd congruence class modulo eight

International journal of number theory, 2018-04, Vol.14 (3), p.669-692

2018

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Lifting monogenic cubic fields to monogenic sextic fields

Kodai mathematical journal, 2011, Vol.34 (3), p.410-425

2011

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The index of a quartic field defined by a trinomial X4 + aX + b

Journal of algebra and its applications, 2018-10, Vol.17 (10), p.1850197

2018

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ARITHMETIC PROGRESSIONS ON CONGRUENT NUMBER ELLIPTIC CURVES

The Rocky Mountain journal of mathematics, 2011-01, Vol.41 (6), p.2033-2044

SPEARMAN, BLAIR K.

2011

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Polynomials (x 3−n)(x 2+ 3) Solvable Modulo Any Integer

The American mathematical monthly, 2014-04, Vol.121 (4), p.355-358

2014

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PSL(2, 5) sextic fields with a power basis

Kodai mathematical journal, 2006, Vol.29 (1), p.5-12

2006

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PSL(2, 7) septimic fields with a power basis

Journal de theorie des nombres de bordeaux, 2012-01, Vol.24 (2), p.369-375

2012

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ON THE LAGRANGE RESOLVENTS OF A DIHEDRAL QUINTIC POLYNOMIAL

International Journal of Mathematics and Mathematical Sciences, 2004, Vol.2004 (69), p.3817-3820

2004

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Minimal indices of pure cubic fields

Archiv der Mathematik, 2016-01, Vol.106 (1), p.35-40

2016

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An extension theorem for generating new families of non-congruent numbers

Functiones et approximatio commentarii mathematici, 2018-03, Vol.58 (1)

2018

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Congruent Number Elliptic Curves with Rank at Least Three

Canadian mathematical bulletin, 2010-12, Vol.53 (4), p.661-666

2010

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On the prime factors of non-congruent numbers

Colloquium mathematicum, 2015, Vol.138 (2), p.271-282

2015

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EXPLICIT DECOMPOSITION OF A RATIONAL PRIME IN A CUBIC FIELD

International Journal of Mathematics and Mathematical Sciences, 2006, Vol.2006, p.1-11

2006

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On the Common Index Divisors of a Dihedral Field of Prime Degree

International Journal of Mathematics and Mathematical Sciences, 2007, Vol.2007, p.1-8

2007

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A Parametric Family of Intersective Polynomials with Galois Group A 4

Communications in algebra, 2015-05, Vol.43 (5), p.1784-1790

2015

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Covering a semi-direct product and intersective polynomials

Manuscripta mathematica, 2016-07, Vol.150 (3-4), p.521-531

2016

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Families of non-congruent numbers with arbitrarily many prime factors

Journal of number theory, 2013-01, Vol.133 (1), p.318-327

2013

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Cubic polynomials defining monogenic fields with the same discriminant

Journal de theorie des nombres de bordeaux, 2018-01, Vol.30 (3), p.991-996

2018

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Integral bases for an infinite family of cyclic quintic fields

The Asian journal of mathematics, 2006, Vol.10 (4), p.765-771

2006

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THE DISCRIMINANT OF A CYCLIC FIELD OF ODD PRIME DEGREE

The Rocky Mountain journal of mathematics, 2003-09, Vol.33 (3), p.1101-1122

2003

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The proportion of cyclic quartic fields with discriminant divisible by a given prime

Proceedings of the Japan Academy. Series A. Mathematical sciences, 2004-09, Vol.80 (7), p.141-145

2004

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Normal relative integral bases for quartic fields over quadratic subfields

Kodai mathematical journal, 1996-01, Vol.19 (3), p.293-307

1996

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A RELATIVE INTEGRAL BASIS OVER Q(√-3)FOR THE NORMAL CLOSURE OF A PURE CUBIC FIELD

International Journal of Mathematics and Mathematical Sciences, 2003, Vol.2003 (25), p.1623-1626

2003

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CUBIC FIELDS WITH A POWER BASIS

The Rocky Mountain journal of mathematics, 2001-09, Vol.31 (3), p.1103-1109

2001

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Products of quadratic polynomials with roots modulo any integer

International Mathematical Forum, 2013, Vol.8, p.1225-1231

2013

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Families of even non-congruent numbers with prime factors in each odd congruence class modulo eight

Lifting monogenic cubic fields to monogenic sextic fields

The index of a quartic field defined by a trinomial X4 + aX + b

ARITHMETIC PROGRESSIONS ON CONGRUENT NUMBER ELLIPTIC CURVES

Polynomials (x 3−n)(x 2+ 3) Solvable Modulo Any Integer

PSL(2, 5) sextic fields with a power basis

PSL(2, 7) septimic fields with a power basis

ON THE LAGRANGE RESOLVENTS OF A DIHEDRAL QUINTIC POLYNOMIAL

Minimal indices of pure cubic fields

An extension theorem for generating new families of non-congruent numbers

Congruent Number Elliptic Curves with Rank at Least Three

On the prime factors of non-congruent numbers

EXPLICIT DECOMPOSITION OF A RATIONAL PRIME IN A CUBIC FIELD

On the Common Index Divisors of a Dihedral Field of Prime Degree

A Parametric Family of Intersective Polynomials with Galois Group A 4

Covering a semi-direct product and intersective polynomials

Families of non-congruent numbers with arbitrarily many prime factors

Cubic polynomials defining monogenic fields with the same discriminant

Integral bases for an infinite family of cyclic quintic fields

THE DISCRIMINANT OF A CYCLIC FIELD OF ODD PRIME DEGREE

The proportion of cyclic quartic fields with discriminant divisible by a given prime

Normal relative integral bases for quartic fields over quadratic subfields

A RELATIVE INTEGRAL BASIS OVER Q(√-3)FOR THE NORMAL CLOSURE OF A PURE CUBIC FIELD

CUBIC FIELDS WITH A POWER BASIS

Products of quadratic polynomials with roots modulo any integer

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