Mihai Cipu

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the Hilbert depth of the quotient ring of the edge ideal of a star graph	2025	Silviu Bălănescu Mircea Cimpoeaş Mihai Cipu
+	Diophantine triples with three parameters	2024	Mihai Cipu Yasutsugu Fujita Maurice Mignotte
+	Extensions of a Diophantine triple by adjoining smaller elements II	2023	Mihai Cipu Andrej Dujella Yasutsugu Fujita
+	On the length of D(±1)$D(\pm 1)$‐tuples in imaginary quadratic rings	2023	Mihai Cipu Yasutsugu Fujita
+	Apollonius circles and the number of irreducible factors of polynomials	2023	Anca Iuliana Bonciocat Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu Maurice Mignotte
+	Sur la hauteur des puissances d'un polynôme à coefficients entiers	2023	Mihai Cipu Gérard Kientega Maurice Mignotte Salifou Nikiema
+	Extensions of a Diophantine Triple by Adjoining Smaller Elements	2022	Mihai Cipu Andrej Dujella Yasutsugu Fujita
+ PDF Chat	There is no Diophantine D(−1)$D(-1)$‐quadruple	2022	Nicolae Ciprian Bonciocat Mihai Cipu Maurice Mignotte
+	Apollonius circles and irreducibility criteria for polynomials	2021	Anca Iuliana Bonciocat Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu
+	Apollonius circles and irreducibility criteria for polynomials	2021	Anca Iuliana Bonciocat Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu
+	Apollonius circles and irreducibility criteria for polynomials	2021	Anca Iuliana Bonciocat Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu
+	There is no Diophantine $D(-1)$--quadruple.	2020	Nicolae Ciprian Bonciocat Mihai Cipu Maurice Mignotte
+	Diophantine triples with largest two elements in common	2020	Mihai Cipu Andrej Dujella Yasutsugu Fujita
+	Diophantine pairs that induce certain Diophantine triples	2019	Mihai Cipu Alan Filipin Yasutsugu Fujita
+	A NEW APPROACH TO THE STUDY OF $D(-1)-$QUADRUPLES (Analytic Number Theory and Related Areas)	2018	Mihai Cipu
+	An Infinite Two-Parameter Family of Diophantine Triples	2018	Mihai Cipu Alan Filipin Yasutsugu Fujita
+	On the number of extensions of a Diophantine triple	2017	Mihai Cipu Yasutsugu Fujita Takafumi Miyazaki
+ PDF Chat	Two-parameter families of uniquely extendable Diophantine triples	2017	Mihai Cipu Yasutsugu Fujita Maurice Mignotte
+	Explicit formula for the solution of simultaneous Pell equations 𝑥²-(𝑎²-1)𝑦²=1, 𝑦²-𝑏𝑧²=1	2017	Mihai Cipu
+	Two-parameter families of uniquely extendable Diophantine triples	2016	Mihai Cipu Yasutsugu Fujita Maurice Mignotte
+	Irreducibility criteria for compositions of polynomials with integer coefficients	2016	Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu Maurice Mignotte
+	Bounds for Diophantine quintuples II	2016	Mihai Cipu Alan Filipin Yasutsugu Fujita
+ PDF Chat	Searching for Diophantine quintuples	2016	Mihai Cipu Tim Trudgian
+	Bounds for Diophantine quintuples II	2016	Mihai Cipu Alan Filipin Yasutsugu Fujita
+	Two-parameter families of uniquely extendable Diophantine triples	2016	Mihai Cipu Yasutsugu Fujita Maurice Mignotte
+	Irreducibility criteria for sums of two relatively prime multivariate polynomials	2015	Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu Maurice Mignotte
+	Searching for Diophantine quintuples	2015	Mihai Cipu Tim Trudgian
+	Bounds for Diophantine quintuples	2015	Mihai Cipu Yasutsugu Fujita
+ PDF Chat	Further remarks on Diophantine quintuples	2015	Mihai Cipu
+	Quadratic Diophantine Equations with Infinitely Many Solutions in Positive Integers.	2015	Mihai Cipu
+	Searching for Diophantine quintuples	2015	Mihai Cipu Tim Trudgian
+ PDF Chat	Irreducibility Criteria for Compositions and Multiplicative Convolutions of Polynomials with Integer Coefficients	2014	Anca Iuliana Bonciocat Nicolae Ciprian Bonciocat Mihai Cipu
+	On the representation of Fibonacci and Lucas numbers in an integer base	2013	Yann Bugeaud Mihai Cipu Maurice Mignotte
+ PDF Chat	IRREDUCIBILITY CRITERIA FOR SUMS OF TWO RELATIVELY PRIME POLYNOMIALS	2013	Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu Maurice Mignotte
+	Congruences Characterizing the Bicrossproduct of Cyclic Groups	2013	Nicolae Ciprian Bonciocat Mihai Cipu Mu Tsun Tsai Alexandru Zaharescu
+ PDF Chat	Some Pólya-Type Irreducibility Criteria for Multivariate Polynomials	2012	Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu Maurice Mignotte
+ PDF Chat	On $D(−1)$-quadruples	2012	Nicolae Ciprian Bonciocat Mihai Cipu Max Mignotte
+	Testing degenerate polynomials	2011	Mihai Cipu Ismaïla Diouf Maurice Mignotte
+	On the size of the intersection of two Lucas sequences of distinct type II	2011	Mihai Cipu Maurice Mignotte Alain Togbé
+	Small solutions to systems of polynomial equations with integer coe-cients	2011	Mihai Cipu
+	On the Behaviour of Stanley Depth under Variable Adjunction	2010	Mihai Cipu Muhammad Imran Qureshi
+	Bounds for counterexamples to Terai's conjecture	2010	Mihai Cipu Maurice Mignotte
+ PDF Chat	Strips and hyperbolas for zeros of polynomials in terms of their Hermite expansion	2010	Nicolae Ciprian Bonciocat Mihai Cipu
+	A Fibonacci Inequality: 11339 [2008, 72].	2009	José Luis Díaz‐Barrero Mihai Cipu
+ PDF Chat	On a conjecture on exponential Diophantine equations	2009	Mihai Cipu Maurice Mignotte
+	A computer-aided proof of a conjecture in Euclidean geometry	2008	Mihai Cipu
+ PDF Chat	SOLUTIONS OF THE DIOPHANTINE EQUATION <i>x</i><sup><i>y</i></sup>+<i>y</i><sup><i>z</i></sup>+<i>z</i><sup><i>x</i></sup>=<i>n</i>!	2008	Mihai Cipu Florian Luca Maurice Mignotte
+	Gröbner bases and Diophantine analysis	2008	Mihai Cipu
+	Groebner Bases and Solutions to Diophantine Equations	2008	Mihai Cipu
+	On the number of solutions to systems of Pell equations	2007	Mihai Cipu Maurice Mignotte
+	PAIRS OF PELL EQUATIONS HAVING AT MOST ONE COMMON SOLUTION IN POSITIVE INTEGERS	2007	Mihai Cipu
+	On the number of solutions of simultaneous Pell equations	2006	Mihai Cipu Maurice Mignotte
+ PDF Chat	On the number of solutions of simultaneous Pell equations II	2006	Michael A. Bennett Mihai Cipu Maurice Mignotte Ryotaro Okazaki
+ PDF Chat	On the number of solutions of simultaneous hyperbolic Diophantine equations	2006	Mihai Cipu Maurice Mignotte
+ PDF Chat	Upper Bounds for Norms of Products of Binomials	2004	Mihai Cipu
+	Algebraic proofs for geometric statements.	2004	Mihai Cipu
+ PDF Chat	A bound for the solutions of the Diophantine equation $D_1 x^2 + D_2^m = 4y^n$	2002	Mihai Cipu
+	ON THE GALOIS GROUP OF THE GENERALIZED FIBONACCI POLYNOMIAL	2001	Mihai Cipu Florian Luca
+	Diophantine equations with at most one positive solution	1997	Mihai Cipu
+	Replicable functions: a computational approach	1996	Mihai Cipu
+	An explicit study of l–sequences	1996	Mihai Cipu
+ PDF Chat	Indecomposable Generalized Cohen-Macaulay Modules	1994	Mihai Cipu Jürgen Herzog Dorin Popescu
+ PDF Chat	Indecomposable generalized Cohen-Macaulay modules	1994	Mihai Cipu Jürgen Herzog Dorin Popescu
+	Ubiquity of relative regular sequences and proper sequences	1994	Mihai Cipu Mario Fiorentini
+	Generalized Cohen-Macaulay modules over rings with approximation property	1991	Mihai Cipu
+	A desingularization theorem of Néron type	1984	Mihai Cipu Dorin Popescu

Common Coauthors

Coauthor	Papers Together
Maurice Mignotte	22
Yasutsugu Fujita	14
Nicolae Ciprian Bonciocat	14
Yann Bugeaud	9
Anca Iuliana Bonciocat	5
Alan Filipin	4
Dorin Popescu	3
Tim Trudgian	3
Andrej Dujella	3
Jürgen Herzog	2
Florian Luca	2
Takafumi Miyazaki	1
Max Mignotte	1
Michael A. Bennett	1
Ryotaro Okazaki	1
Mu Tsun Tsai	1
Salifou Nikiema	1
Mario Fiorentini	1
Mircea Cimpoeaş	1
Alexandru Zaharescu	1
Silviu Bălănescu	1
Gérard Kientega	1
José Luis Díaz‐Barrero	1
Muhammad Imran Qureshi	1
Alain Togbé	1
Ismaïla Diouf	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers	1998	E M Matveev	13
+ PDF Chat	THE EQUATIONS 3<i>x</i><sup>2</sup>−2 = <i>y</i><sup>2</sup> AND 8<i>x</i><sup>2</sup>−7 = <i>z</i><sup>2</sup>	1969	A. Baker H. Davenport	13
+ PDF Chat	Linear forms in two logarithms and interpolation determinants II	2008	Laurent Michel	11
+	A Generalization of a Theorem of Baker and Davenport	1998	Andrej Dujella A. Petho	11
+ PDF Chat	Simultaneous rational approximations and related diophantine equations	1993	John Rickert	10
+	There are only finitely many Diophantine quintuples	2004	Andrej Dujella	10
+	A generalization of a theorem of Baker and Davenport	1998	Andrej Dujella Attila Pethö	10
+	An Absolute Bound for the Size of Diophantine m-Tuples	2001	Andrej Dujella	9
+ PDF Chat	Further remarks on Diophantine quintuples	2015	Mihai Cipu	9
+ PDF Chat	On the number of solutions of simultaneous Pell equations	2002	Pingzhi Yuan	8
+	The extensibility of Diophantine pairs<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">{</mml:mo><mml:mi>k</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>k</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">}</mml:mo></mml:math>	2007	Yasutsugu Fujita	8
+	An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II	2000	E M Matveev	8
+	Formes linéaires en deux logarithmes et déterminants d′interpolation	1995	Laurent Michel Maurice Mignotte Yuri Valentinovich Nesterenko	7
+	Bounds for Diophantine quintuples II	2016	Mihai Cipu Alan Filipin Yasutsugu Fujita	7
+ PDF Chat	On the number of solutions of simultaneous Pell equations II	2006	Michael A. Bennett Mihai Cipu Maurice Mignotte Ryotaro Okazaki	7
+	Any Diophantine quintuple contains a regular Diophantine quadruple	2009	Yasutsugu Fujita	7
+	There is no Diophantine quintuple	2018	Bo He Alain Togbé Volker Ziegler	7
+ PDF Chat	ON THE FAMILY OF DIOPHANTINE TRIPLES {<i>k</i>− 1,<i>k</i>+ 1, 16<i>k</i><sup>3</sup>− 4<i>k</i>}	2007	Yann Bugeaud Andrej Dujella Maurice Mignotte	6
+	On the number of solutions to systems of Pell equations	2007	Mihai Cipu Maurice Mignotte	6
+	Simultaneous Pell Equations	1996	David Masser John Rickert	6
+	On a family of diophantine triples {K,A 2 K + 2A, (A + 1)2 K + 2(A + 1)} with two parameters II	2012	Bo He Alain Togbé	6
+	On Diophantine quintuples and $$D(-1)$$ D ( - 1 ) -quadruples	2013	Christian Elsholtz Alan Filipin Yasutsugu Fujita	6
+	The extendibility of Diophantine pairs II: Examples	2014	Alan Filipin Yasutsugu Fujita Alain Togbé	5
+	On the number of extensions of a Diophantine triple	2017	Mihai Cipu Yasutsugu Fujita Takafumi Miyazaki	5
+	Bounds on the number of Diophantine quintuples	2015	Tim Trudgian	5
+	On a Special Case of Hilbert's Irreducibility Theorem	2000	Marius Cavachi	5
+	A Class of Irreducible Polynomials	2002	Marius Cavachi Marian Vâjâitu Alexandru Zaharescu	5
+ PDF Chat	Two-parameter families of uniquely extendable Diophantine triples	2017	Mihai Cipu Yasutsugu Fujita Maurice Mignotte	5
+	The number of Diophantine quintuples II	2013	Alan Filipin Yasutsugu Fujita	5
+	The Hilbert polynomial and linear forms in the logarithms of algebraic numbers	2008	Yu. M. Aleksentsev	5
+	Bounds for Diophantine quintuples	2015	Mihai Cipu Yasutsugu Fujita	5
+	The extendibility of diophantine pairs I: the general case	2014	Alan Filipin Yasutsugu Fujita Alain Togbé	5
+	Bounds for Diophantine quintuples II	2016	Mihai Cipu Alan Filipin Yasutsugu Fujita	5
+	On a family of diophantine triples {k, A 2 k + 2A, (A + 1)2 k + 2 (A + 1)} with two parameters	2009	Bo He Alain Togbé	4
+ PDF Chat	Irreducibility criteria of Schur-type and Pólya-type	2010	Kálmán Győry Lajos Hajdu R. Tijdeman	4
+	On Euler’s Solution of a Problem of Diophantus	1979	J Arkin V. E. Hoggatt E. G. Straus	4
+ PDF Chat	Brauer-Thrall type theorem for maximal Cohen-Macaulay modules	1987	Yuji Yoshino	4
+	The number of Diophantine quintuples	2010	Yasutsugu Fujita	4
+	Reduction of isolated singularities	1987	Ernst Dieterich	4
+ PDF Chat	Sets in which 𝑥𝑦+𝑘 is always a square	1985	Ezra Brown	4
+	The number of subspaces occurring in the p-adic subspace theorem in diophantine approximation.	1990	Hans Peter Schlickewei	4
+ PDF Chat	IRREDUCIBILITY CRITERIA FOR SUMS OF TWO RELATIVELY PRIME POLYNOMIALS	2013	Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu Maurice Mignotte	4
+	On the number of Diophantine m-tuples	2007	Andrej Dujella	4
+ PDF Chat	The regularity of Diophantine quadruples	2016	Yasutsugu Fujita Takafumi Miyazaki	4
+ PDF Chat	On the Size of Sets in Which $xy + 4$ is Always a Square	2009	Alan Filipin	3
+	Polynomials with Special Regard to Reducibility	2000	Andrzej Schinzel	3
+ PDF Chat	On the number of solutions of $x^2-4m(m+1)y^2=y^2-bz^2=1$	2004	Pingzhi Yuan	3
+	Über einige Anwendungen diophantischer Approximationen	2014	Carl Ludwig Siegel	3
+ PDF Chat	Simultaneous Pell equations	2004	Pingzhi Yuan	3
+	PAIRS OF PELL EQUATIONS HAVING AT MOST ONE COMMON SOLUTION IN POSITIVE INTEGERS	2007	Mihai Cipu	3