Notices of the American Mathematical Society, ISSN 0002-9920, 08/2016, Volume 63, Issue 7, pp. 772 - 774

Journal Article

Computing, ISSN 0010-485X, 2018, Volume 85, Issue 1-2, pp. 77 - 83

Wiener's attack is a well-known polynomial-time attack on a RSA cryptosystem with small secret decryption exponent d, which works if d < n(0.25), where n = pq...

Cryptanalysis | Continued fractions | RSA cryptosystem | COMPUTER SCIENCE, THEORY & METHODS | SECRET EXPONENTS | Studies | Public Key Infrastructure | Cryptography | Information technology

Cryptanalysis | Continued fractions | RSA cryptosystem | COMPUTER SCIENCE, THEORY & METHODS | SECRET EXPONENTS | Studies | Public Key Infrastructure | Cryptography | Information technology

Journal Article

Journal fur die Reine und Angewandte Mathematik, ISSN 0075-4102, 02/2004, Volume 2004, Issue 566, pp. 183 - 214

Journal Article

Indagationes Mathematicae, ISSN 0019-3577, 11/2019, Volume 30, Issue 6, pp. 1079 - 1086

Let n be a nonzero integer. A set of nonzero integers {a1,…,am} such that aiaj+n is a perfect square for all 1≤i Diophantine equations | [formula omitted]-quadruples | Elliptic curves | MATHEMATICS | DIOPHANTINE M-TUPLES | D(n)-quadruples | Integers | Mathematics - Number Theory

Journal Article

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, ISSN 1578-7303, 01/2020, Volume 114, Issue 1

For a nonzero integer n, a set of m distinct nonzero integers {a1,a2,...,am} such that aiaj+n is a perfect square for all 1 <= im, is...

MATHEMATICS | ELLIPTIC-CURVES | Elliptic curves | Primary 11D09 | Secondary 11G05 | M-TUPLES | INJECTIVITY | TRIPLES | RANK | Diophantine quadruples | Mathematics - Number Theory

MATHEMATICS | ELLIPTIC-CURVES | Elliptic curves | Primary 11D09 | Secondary 11G05 | M-TUPLES | INJECTIVITY | TRIPLES | RANK | Diophantine quadruples | Mathematics - Number Theory

Journal Article

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 9/2019, Volume 42, Issue 5, pp. 2915 - 2926

... Andrej Dujella 1 · Mirela Juki´ c Bokun 2 · Ivan Soldo 2 Received: 5 December 2017 / Revised: 2 May 2018 / Published online: 28 May 2018 © Malaysian Mathematical...

11D09 | Diophantine equation | Mathematics, general | Mathematics | Applications of Mathematics | 11R11 | Quadratic field | Diophantine triple

11D09 | Diophantine equation | Mathematics, general | Mathematics | Applications of Mathematics | 11R11 | Quadratic field | Diophantine triple

Journal Article

The American Mathematical Monthly, ISSN 0002-9890, 12/2017, Volume 124, Issue 10, pp. 930 - 936

While the separation (the minimal nonzero distance) between roots of a polynomial is a classical topic, its absolute counterpart (the minimal nonzero distance...

Integers | Algebra | Mathematical theorems | Approximation | Discrete mathematics | Polynomials | Mathematical inequalities | Resultants | ARTICLES | Coefficients | College mathematics | MATHEMATICS | INTEGER POLYNOMIALS | Mathematics - Number Theory | Mathematics | Symbolic Computation | Computer Science | Classical Analysis and ODEs

Integers | Algebra | Mathematical theorems | Approximation | Discrete mathematics | Polynomials | Mathematical inequalities | Resultants | ARTICLES | Coefficients | College mathematics | MATHEMATICS | INTEGER POLYNOMIALS | Mathematics - Number Theory | Mathematics | Symbolic Computation | Computer Science | Classical Analysis and ODEs

Journal Article

Experimental mathematics, ISSN 1058-6458, 12/2019, pp. 1 - 8

The absolute separation of a polynomial is the minimum nonzero difference between the absolute values of its roots. In the case of polynomials with integer...

Symbolic Computation | Computer Science

Symbolic Computation | Computer Science

Journal Article

The Rocky Mountain Journal of Mathematics, ISSN 0035-7596, 1/2014, Volume 44, Issue 4, pp. 1145 - 1160

Triangles having rational sides 𝑎, 𝑏, 𝑐 and rational area 𝑄 are called . Associated to each Heron triangle is the quartic The Heron formula states that...

MATHEMATICS | DIOPHANTINE TRIPLES | RANK | CONSTRUCTION

MATHEMATICS | DIOPHANTINE TRIPLES | RANK | CONSTRUCTION

Journal Article

Journal of Number Theory, ISSN 0022-314X, 12/2019, Volume 205, pp. 340 - 346

A rational Diophantine m-tuple is a set of m nonzero rationals such that the product of any two of them increased by 1 is a perfect square. The first rational...

Diophantine sextuples | Elliptic curves | MATHEMATICS | Diophantinc sextuples

Diophantine sextuples | Elliptic curves | MATHEMATICS | Diophantinc sextuples

Journal Article

Glasnik Matematicki, ISSN 0017-095X, 06/2007, Volume 42, Issue 1, pp. 3 - 18

We study the possible structure of the groups of rational points on elliptic curves of the form y2 = (ax+1)(bx+1)(cx+1), where a,b,c are non-zero rationals...

Rank | Elliptic curves | Torsion group | Diophantine triple | rank, torsion group

Rank | Elliptic curves | Torsion group | Diophantine triple | rank, torsion group

Journal Article

LMS Journal of Computation and Mathematics, ISSN 1461-1570, 2014, Volume 17, Issue 1, pp. 282 - 288

Journal Article

Acta Arithmetica, ISSN 0065-1036, 2011, Volume 147, Issue 4, pp. 397 - 402

Acta Arith. 147 (2011), 397-402 We show that for any even positive integer d there exist polynomials x and y with integer coefficients such that deg(x) = 2d,...

Integer polynomials | Hall's conjecture | MATHEMATICS | integer polynomials | EQUATION

Integer polynomials | Hall's conjecture | MATHEMATICS | integer polynomials | EQUATION

Journal Article

Periodica Mathematica Hungarica, ISSN 0031-5303, 9/2012, Volume 65, Issue 1, pp. 83 - 96

In this paper, given a pair of odd coprime integers δ and ɛ, we study the positive n such that (n 2 + 1)/2 has two divisors d 1 and d 2 summing up to δn + ɛ.

Mathematics, general | Mathematics | 11D09 | Pell equations

Mathematics, general | Mathematics | 11D09 | Pell equations

Journal Article

International Mathematics Research Notices, ISSN 1073-7928, 2017, Volume 2017, Issue 2, pp. 490 - 508

A rational Diophantine m-tuple is a set of m non zero rationals such that the product of any two of them increased by 1 is a perfect square. The first rational...

MATHEMATICS | ELLIPTIC-CURVES | RANK | Mathematics - Number Theory

MATHEMATICS | ELLIPTIC-CURVES | RANK | Mathematics - Number Theory

Journal Article

Journal of Number Theory, ISSN 0022-314X, 03/2018, Volume 184, pp. 330 - 341

For a nonzero integer n, a set of distinct nonzero integers {a1,a2,…,am} such that aiaj+n is a perfect square for all 1≤i Elliptic curves | Diophantine m-tuples | DIOPHANTINE | MATHEMATICS | SIZE

Journal Article

Acta Arithmetica, ISSN 0065-1036, 2014, Volume 162, Issue 4, pp. 393 - 403

Journal Article

10/2014

Proc. Japan Acad. Ser. A Math. Sci. 91 (2015), 105-109 For the elliptic curve $E$ over $\mathbb{Q}(t)$ found by Kihara, with torsion group...

Journal Article

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, ISSN 1578-7303, 04/2019, Volume 113, Issue 2, pp. 791 - 806

Given a Diophantine triple {c(1)(t), c(2)(t), c(3)(t)}, the elliptic curve over Q(t) induced by this triple, i.e. y(2) = (c(1)(t) x + 1) (c(2)(t) x + 1)...

MATHEMATICS | Diophantine triples | Rank | Elliptic curves | Torsion group | Mathematics - Number Theory

MATHEMATICS | Diophantine triples | Rank | Elliptic curves | Torsion group | Mathematics - Number Theory

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 1/2008, Volume 15, Issue 1, pp. 37 - 46

...Ramanujan J (2008) 15: 37–46 DOI 10.1007/s11139-007-9066-0 On the number of Diophantine m -tuples Andrej Dujella Received: 14 April 2004 / Accepted: 14...

Order of magnitude | Fourier Analysis | 11D09 | Functions of a Complex Variable | 11N56 | Diophantine m -tuples | Field Theory and Polynomials | Mathematics | Number Theory | Combinatorics | 11D45 | Diophantine m-tuples | SHIFTED PRODUCTS | MATHEMATICS | DAVENPORT | POWERS | order of magnitude

Order of magnitude | Fourier Analysis | 11D09 | Functions of a Complex Variable | 11N56 | Diophantine m -tuples | Field Theory and Polynomials | Mathematics | Number Theory | Combinatorics | 11D45 | Diophantine m-tuples | SHIFTED PRODUCTS | MATHEMATICS | DAVENPORT | POWERS | order of magnitude

Journal Article

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