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Schinzel, Andrzej

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Author ID: schinzel.andrzej Recent zbMATH articles by "Schinzel, Andrzej"
Published as: Schinzel, A; Schinzel, A.; Schinzel, Andre; Schinzel, Andrzej; Schinzel, André
Homepage: https://www.impan.pl/~schinzel/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 349 Publications since 1954, including 4 Books
Biographic References: 4 Publications
all top 5

Co-Authors

225 single-authored
10 Sierpiński, Wacław
8 Browkin, Jerzy
8 Davenport, Harold
8 Skałba, Mariusz
5 Lewis, Donald-J.
5 Schmidt, Wolfgang M.
4 Győry, Kálmán
4 Zannier, Umberto M.
3 Białynicki-Birula, Andrzej S.
3 Filaseta, Michael A.
3 Hajdu, Lajos
3 Mąkowski, Andrzej
3 Mycielski, Jan
3 Rotkiewicz, Andrzej
3 Tijdeman, Robert
3 Urbanowicz, Jerzy
3 Wang, Yuan
2 Bergman, Stefan
2 Chaładus, Stefan
2 Duda, Roman
2 Erdős, Pál
2 Kanemitsu, Shigeru
2 Knaster, Bronisław
2 Paszkiewicz, Andrzej
2 Pintér, Ákos
2 Postnikova, L. P.
2 Spiez, Stanislaw
2 Wójcik, Jan
2 Zassenhaus, Hans Julius
1 Aliev, I. N.
1 Aliev, I. Sh.o.
1 Baker, Alan
1 Baron, Gerd
1 Barsky, Daniel
1 Bertók, Csanád
1 Bézivin, Jean-Paul
1 Bhaskaran, M.
1 Birch, Bryan John
1 Bolis, Theodoros S.
1 Borodzik, Maciej
1 Cassels, J. W. S.
1 Choudhry, Ajai
1 Chowla, Sarvadaman
1 Deshouillers, Jean-Marc
1 Divis, Bohuslav
1 Dobrowolski, Edward
1 Fried, Michael David
1 Gołąb, Stanisław
1 Goldfeld, Dorian Morris
1 Granville, Andrew James
1 Greaves, George
1 Grużewski, Aleksander
1 Grytczuk, Aleksander
1 Hall, Marshall jun.
1 Hančl, Jaroslav
1 Hartman, Stanisław
1 Hom, Jennifer
1 Jakubec, Stanislav
1 Kiss, Péter
1 Lawton, W. H.
1 Losonczi, László
1 Mikusiński, Jan Stefan
1 Misiurewicz, Michał
1 Montgomery, Hugh Lowell
1 Nadzieja, Tadeusz
1 Narkiewicz, Władysław
1 Nicolas, Jean-Louis
1 Niederreiter, Harald
1 Oderfeld, Jan
1 Paštéka, Milan
1 Perlis, Robert
1 Péter, Gyöngyvér
1 Pomerance, Carl Bernard
1 Rokowska, Barbara
1 Rolewicz, Stefan
1 Rubel, Lee Albert
1 Ruzsa, Imre Z.
1 Šalát, Tibor
1 Schlickewei, Hans Peter
1 Shorey, Tarlok Nath
1 Somer, Lawrence E.
1 Šustek, Jan
1 Szekeres, George
1 Tanigawa, Yoshio
1 Tverberg, Helge Arnulf
1 Ulas, Maciej
1 van der Poorten, Alfred J.
1 van Wamelen, Paul B.
1 Wakulicz, Andrzej
1 Wirsing, Eduard A.
1 Wróblewski, Jarosław
1 Zakarczemny, Maciej
all top 5

Serials

67 Acta Arithmetica
24 Colloquium Mathematicum
19 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne
15 Bulletin of the Polish Academy of Sciences, Mathematics
7 Journal of Number Theory
7 Publicationes Mathematicae
6 Functiones et Approximatio. Commentarii Mathematici
6 Journal für die Reine und Angewandte Mathematik
6 Bulletin de l’Académie Polonaise des Sciences, Classe 3
6 Annales Societatis Mathematicae Polonae
5 Mathematics of Computation
5 Annales Polonici Mathematici
5 Monatshefte für Mathematik
5 Elemente der Mathematik
5 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques
4 Wiadomości Matematyczne
3 Demonstratio Mathematica
3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
3 Mathesis
2 Rocky Mountain Journal of Mathematics
2 Archiv der Mathematik
2 Bulletin de la Société Royale des Sciences de Liège
2 Compositio Mathematica
2 Dissertationes Mathematicae
2 The Fibonacci Quarterly
2 Fundamenta Mathematicae
2 Le Matematiche
2 Mathematica Slovaca
2 Michigan Mathematical Journal
2 Rendiconti del Seminario Matematico della Università di Padova
2 Hardy-Ramanujan Journal
2 Acta Mathematica et Informatica Universitatis Ostraviensis
2 The Ramanujan Journal
2 International Journal of Number Theory
2 Proceedings of the Steklov Institute of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Studia Mathematica
1 Arkiv för Matematik
1 Acta Scientiarum Mathematicarum
1 American Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Archivum Mathematicum
1 Bulletin of the London Mathematical Society
1 Collectanea Mathematica
1 Czechoslovak Mathematical Journal
1 Ganita
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 The Journal of the Indian Mathematical Society. New Series
1 Journal of the London Mathematical Society. Second Series
1 Matematicheskiĭ Sbornik. Novaya Seriya
1 Mathematische Annalen
1 Mathematica Scandinavica
1 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Studia Scientiarum Mathematicarum Hungarica
1 Bulletin of the Greek Mathematical Society
1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae
1 PLISKA. Studia Mathematica Bulgarica
1 Prace Naukowe Uniwersytetu Śląskiego w Katowicach. Annales Mathematicae Silesianae
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Acta Mathematica Universitatis Comenianae. New Series
1 L’Enseignement Mathématique. 2e Série
1 Journal of the Australian Mathematical Society. Series A
1 Mathematics of the USSR, Sbornik
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 Tatra Mountains Mathematical Publications
1 Discussiones Mathematicae
1 Journal de Théorie des Nombres de Bordeaux
1 Finite Fields and their Applications
1 Serdica Mathematical Journal
1 Acta Academiae Paedagogicae Agriensis. Nova Series. Sectio Matematicae
1 RIMS Kokyuroku
1 Proceedings of the Cambridge Philosophical Society
1 Journal of the London Mathematical Society
1 Det Kongelige Norske Videnskabers Selskabs Forhandlinger
1 Bulletin de la Société des Mathématiciens et Physiciens de la R. P. de Serbie
1 Annales Societatis Mathematicae Polonae
1 Nordisk Matematisk Tidskrift
1 Encyclopedia of Mathematics and Its Applications
1 Acta Mathematica Universitatis Ostraviensis
1 Antiquitates Mathematicae
1 Moscow Journal of Combinatorics and Number Theory
1 Heritage of European Mathematics

Publications by Year

Citations contained in zbMATH Open

190 Publications have been cited 1,135 times in 907 Documents Cited by Year
Polynomials with special regard to reducibility. Zbl 0956.12001
Schinzel, A.
109
2000
Selected topics on polynomials. Zbl 0487.12002
Schinzel, Andrzej
73
1982
On certain hypotheses concerning prime numbers. Zbl 0082.25802
Schinzel, Andrzej; Sierpiński, Wacław
53
1958
A combinatorial problem connected with differential equations. Zbl 0132.00601
Davenport, Harold; Schinzel, Andrzej
46
1965
On the product of the conjugates outside the unit circle of an algebraic number. Zbl 0275.12004
Schinzel, Andrzej
44
1973
Sur l’équation fonctionnelle \(f[x+y\cdot f(x)]=f(x)\cdot f(y)\). Zbl 0083.35004
Gołab, Stanislaw; Schinzel, Andrzej
30
1959
On Sylow 2-subgroups of \(K_2O_F\) for quadratic number fields \(F\). Zbl 0493.12013
Browkin, J.; Schinzel, Andrzej
27
1982
Primitive divisors of the expression A\(^n-B^n\) in algebraic number fields. Zbl 0287.12014
Schinzel, Andrzej
27
1974
On two theorems of Gelfond and some of their applications. Zbl 0159.07101
Schinzel, Andrzej
24
1967
Abelian binomials, power residues and exponential congruences. Zbl 0409.12029
Schinzel, Andrzej
22
1977
A refinement of two theorems of Kronecker. Zbl 0128.03402
Schinzel, Andrzej; Zassenhaus, Hans
22
1965
On the equation \(y^m=P(x)\). Zbl 0339.10018
Schinzel, Andrzej; Tijdeman, R.
19
1976
On power residues and exponential congruences. Zbl 0342.12002
Schinzel, Andrzej
19
1975
Equations of the form \(f(x) = g(y)\). Zbl 0121.28403
Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej
18
1961
Applications of the Gel’fond-Baker method to Diophantine equations. Zbl 0371.10015
Shorey, T. N.; van der Poorten, A. J.; Tijdeman, R.; Schinzel, Andrzej
17
1977
Representations of multivariate polynomials by sums of univariate polynomials in linear forms. Zbl 1154.11011
Białynicki-Birula, A.; Schinzel, A.
15
2008
On the equation \(y^m=P(x)\). Zbl 0303.10016
Tijdeman, Robert; Schinzel, Andrzej
15
1976
Remarks on the paper ”Sur certaines hypothéses concernant les nombres premiers”. Zbl 0101.27902
Schinzel, Andrzej
15
1961
On primitive prime factors of \(a^ n -b^ n\). Zbl 0114.02605
Schinzel, Andrzej
14
1962
Reducibility of polynomials and covering systems of congruences. Zbl 0171.00701
Schinzel, Andrzej
13
1967
Self-inversive polynomials with all zeros on the unit circle. Zbl 1079.30004
Schinzel, A.
12
2005
On difference polynomials and hereditarily irreducible polynomials. Zbl 0435.12009
Rubel, L. A.; Schinzel, Andrzej; Tverberg, H.
10
1980
Addition of sequences in general fields. Zbl 0349.12012
Browkin, J.; Divis, B.; Schinzel, Andrzej
10
1976
On the difference \(x^ 3 -y^ 2\). Zbl 0144.03901
Birch, B. J.; Chowla, Sarvadaman; Hall, M. jun.; Schinzel, Andrzej
10
1965
Polynomials of certain special types. Zbl 0126.27801
Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej
10
1964
Selmer’s conjecture and families of elliptic curves. Zbl 0474.14010
Cassels, J. W. S.; Schinzel, A.
8
1982
An improvement of Runge’s theorem on diophantine equations. Zbl 0297.10009
Schinzel, Andrzej
8
1969
On some problems of the arithmetical theory of continued fractions. II. Zbl 0112.28001
Schinzel, Andrzej
8
1962
Sur l’existence d’un cercle passant par un nombre donne de points aux coordonnees entières. Zbl 0080.03401
Schinzel, Andre
8
1958
Irreducibility and greatest common divisor algorithms for sparse polynomials. Zbl 1270.11129
Filaseta, Michael; Granville, Andrew; Schinzel, Andrzej
7
2008
Triples of positive integers with the same sum and the same product product. Zbl 0932.11019
Schinzel, A.
7
1996
Reducibility of polynomials in several variables. II. Zbl 0571.12011
Schinzel, Andrzej
7
1985
An inequality for determinants with real entries. Zbl 0384.15004
Schinzel, Andrzej
7
1978
On Siegel’s zero. Zbl 0327.10041
Goldfeld, D. M.; Schinzel, Andrzej
7
1975
On linear dependence of roots. Zbl 0324.12103
Schinzel, Andrzej
7
1975
Reducibility of quadrinomials. Zbl 0216.04601
Fried, M.; Schinzel, Andrzej
7
1972
On some problems of the arithmetical theory of continued fractions. Zbl 0099.04003
Schinzel, Andrzej
7
1961
On testing the divisibility of lacunary polynomials by cyclotomic polynomials. Zbl 1099.13519
Filaseta, Michael; Schinzel, Andrzej
6
2004
On reducible trinomials. Zbl 0795.12003
Schinzel, Andrzej
6
1993
Small solutions of quadratic congruence and small fractional parts of quadratic forms. Zbl 0446.10026
Schinzel, Andrzej; Schlickewei, H. P.; Schmidt, W. M.
6
1980
Reducibility of lacunary polynomials. I. Zbl 0196.06903
Schinzel, Andrzej
6
1969
On the reducibility of polynomials and in particular of trinomials. Zbl 0196.31104
Schinzel, Andrzej
6
1966
Reducibility of polynomials in several variables. Zbl 0122.01901
Schinzel, Andrzej
6
1963
The intrinsic divisors of Lehmer numbers in the case of negative discriminant. Zbl 0106.03105
Schinzel, Andrzej
6
1962
Class number of real abelian fields. Zbl 1360.11118
Jakubec, S.; Pasteka, M.; Schinzel, A.
5
2015
On the reduced length of a polynomial with real coefficients. Zbl 1192.12001
Schinzel, Andrzej
5
2006
A property of polynomials with an application to Siegel’s lemma. Zbl 1116.11304
Schinzel, A.
5
2002
On reducible trinomials. III. Zbl 1026.12003
Schinzel, Andrzej
5
2001
Multiplicative properties of the partition function. Zbl 0657.10011
Schinzel, A.; Wirsing, E.
5
1987
On the number of terms of a power of a polynomial. Zbl 0632.12024
Schinzel, A.
5
1987
Addendum and corrigendum to the paper ”Abelian binomials, power residues and exponential congruences”. Zbl 0438.12014
Schinzel, Andrzej
5
1980
Addendum to the paper ’On the product of the conjugates outside the unit circle of an algebraic number’. Zbl 0312.12001
Schinzel, Andrzej
5
1975
On the representation of fields as finite unions of subfields. Zbl 0099.26302
Białynicki-Birula, A.; Browkin, J.; Schinzel, Andrzej
5
1959
On functions \(\varphi(n)\) and \(\sigma(n)\). Zbl 0065.27103
Schinzel, Andrzej
5
1955
Admissible tracks in Shamir’s scheme. Zbl 1209.94054
Schinzel, Andrzej; Spież, Stanisław; Urbanowicz, Jerzy
4
2010
Elementary symmetric polynomials in Shamir’s scheme. Zbl 1205.94111
Schinzel, Andrzej; Spież, Stanisław; Urbanowicz, Jerzy
4
2010
On the reduced length of a polynomial with real coefficients. II. Zbl 1211.12003
Schinzel, Andrzej
4
2007
On a decomposition of polynomials in several variables. Zbl 1067.11012
Schinzel, Andrzej
4
2002
On reducible trinomials. II. Zbl 0960.12001
Schinzel, Andrzej
4
2000
Remarks on maximum and minimum exponents in factoring. Zbl 0821.11004
Schinzel, Andrzej; Šalát, Tibor
4
1994
Special Lucas sequences, including the Fibonacci sequence, modulo a prime. Zbl 0716.11009
Schinzel, A.
4
1990
On n numbers on a circle. Zbl 0665.10010
Misiurewicz, M.; Schinzel, A.
4
1988
On a problem of Lehmer. Zbl 0519.12012
Dobrowolski, E.; Lawton, W.; Schinzel, Andrzej
4
1983
Diophantine equations with parameters. Zbl 0539.10017
Schinzel, Andrzej
4
1982
On Lucas and Lehmer sequences and their applications to Diophantine equations. Zbl 0487.10010
Györy, K.; Kiss, P.; Schinzel, Andrzej
4
1981
On the least integers represented by the genera of binary quadratic forms. Zbl 0218.10040
Baker, A.; Schinzel, Andrzej
4
1971
A refinement of a theorem of Gerst on power residues. Zbl 0233.10003
Schinzel, Andrzej
4
1970
Primitive divisors of the expression \(a^ n -b^ n\) in algebraic number fields. Zbl 0195.33704
Postnikova, L. P.; Schinzel, Andrzej
4
1969
A note on certain arithmetical constants. Zbl 0142.01204
Davenport, Harold; Schinzel, Andrzej
4
1966
On Hilbert’s irreducibility theorem. Zbl 0166.04802
Schinzel, Andrzej
4
1965
A remark on a paper of Bateman and Horn. Zbl 0116.26903
Schinzel, Andrzej
4
1963
Sur un problème de M. Erdős. Zbl 0089.26603
Rokowska, B.; Schinzel, Andrzej
4
1960
Sur un problème de M. Paul Erdős. Zbl 0099.02702
Schinzel, Andrzej; Szekeres, George
4
1959
Sur l’équation \(\phi (x) = m\). Zbl 0074.03401
Schinzel, Andrzej
4
1956
Sur quelques propriétés des nombres \(3/n\) et \(4/n\), ou \(n\) est un nombre impair. Zbl 0073.26702
Schinzel, André
4
1956
Stern polynomials as numerators of continued fractions. Zbl 1377.11035
Schinzel, A.
3
2014
A note on Erdős-Straus and Erdős-Graham divisibility problems (with an appendix by Andrzej Schinzel). Zbl 1268.11029
Ulas, Maciej; Schinzel, Andrzej
3
2013
On the factors of Stern polynomials (remarks on the preceding paper of M. Ulas). Zbl 1274.11067
Schinzel, Andrzej
3
2011
On equal values of trinomials. Zbl 1296.11021
Péter, Gyöngyvér; Pintér, Ákos; Schinzel, Andrzej
3
2011
Around Pólya’s theorem on the set of prime divisors of a linear recurrence. Zbl 1194.11026
Schinzel, A.
3
2008
The reduced length of a polynomial with complex coefficients. Zbl 1211.12002
Schinzel, A.
3
2008
Numerical calculation of the density of prime numbers with a given least primitive root. Zbl 1030.11076
Paszkiewicz, A.; Schinzel, A.
3
2002
Comparison of \(L^1\)- and \(L^\infty\)-norms of squares of polynomials. Zbl 1017.11013
Schinzel, A.; Schmidt, W. M.
3
2002
On sums of three unit fractions with polynomial denominators. Zbl 0974.11015
Schinzel, A.
3
2000
Squarefree values of polynomials and the \(abc\)-conjecture. Zbl 0926.11022
Browkin, J.; Filaseta, M.; Greaves, G.; Schinzel, A.
3
1997
The least admissible value of the parameter in Hilbert’s irreducibility theorem. Zbl 0828.12003
Schinzel, Andrzej; Zannier, Umberto
3
1995
On Runge’s theorem about diophantine equations. Zbl 0849.11033
Grytczuk, A.; Schinzel, A.
3
1992
On an analytic problem considered by Sierpiński and Ramanujan. Zbl 0767.11045
Schinzel, A.
3
1992
Maximal frequencies of elements in second-order linear recurring sequences over a finite field. Zbl 0747.11062
Niederreiter, H.; Schinzel, A.; Somer, L.
3
1991
Integer points on conics. Zbl 0242.10007
Schinzel, Andrzej
3
1972
Reducibility of lacunary polynomials. II. Zbl 0206.05204
Schinzel, Andrzej
3
1970
On a theorem of Bauer and some of its applications. Zbl 0158.30101
Schinzel, Andrzej
3
1967
On the Diophantine equation \((x^2-1)(y^2-1) = [(\tfrac 12 (y-x))^2-1]^2\). Zbl 0126.07301
Schinzel, Andrzej; Sierpiński, Wacław
3
1963
On primitive prime factors of Lehmer numbers. I, II. Zbl 0118.27901
Schinzel, Andrzej
3
1963
Remark on the paper of K. Prachar ’Über die kleinste Primzahl einer arithmetischen Reihe’. Zbl 0146.05801
Schinzel, Andrzej
3
1962
A note on sompe properties of the functions \(\varphi (n), \sigma (n), \theta (n)\). Zbl 0081.04203
Schinzel, Andrzej; Wang, Y.
3
1958
Generalisation of a theorem of B. S. K. R. Somayajulu on the Euler’s function \(\phi(n)\). Zbl 0058.27501
Schinzel, Andrzej
3
1954
Quelques théorèmes sur les fonctions \(\varphi (n)\) et \(\sigma (n)\). Zbl 0056.27003
Schinzel, Andrzej
3
1954
Involutive Heegaard Floer homology and rational cuspidal curves. With an appendix by Andrzej Schinzel. Zbl 1442.57012
Borodzik, Maciej; Hom, Jennifer; Schinzel, Andrzej
2
2019
On sums of four coprime squares. Zbl 1282.11019
Schinzel, A.
2
2013
Involutive Heegaard Floer homology and rational cuspidal curves. With an appendix by Andrzej Schinzel. Zbl 1442.57012
Borodzik, Maciej; Hom, Jennifer; Schinzel, Andrzej
2
2019
On the factors of Stern polynomials. II: Proof of a conjecture of M. Gawron. Zbl 1413.11058
Schinzel, Andrzej
1
2017
Class number of real abelian fields. Zbl 1360.11118
Jakubec, S.; Pasteka, M.; Schinzel, A.
5
2015
On ternary integral recurrences. Zbl 1394.11010
Schinzel, A.
1
2015
Stern polynomials as numerators of continued fractions. Zbl 1377.11035
Schinzel, A.
3
2014
A note on Erdős-Straus and Erdős-Graham divisibility problems (with an appendix by Andrzej Schinzel). Zbl 1268.11029
Ulas, Maciej; Schinzel, Andrzej
3
2013
On sums of four coprime squares. Zbl 1282.11019
Schinzel, A.
2
2013
On certain biquadratic equations. Zbl 1365.11028
Schinzel, A.; Skałba, M.
1
2013
On sums of powers of the positive integers. Zbl 1368.11019
Schinzel, A.
1
2013
A positive definite binary quadratic form as a sum of five squares of linear forms (completion of Mordell’s proof). Zbl 1301.11044
Schinzel, A.
1
2013
Equal values of trinomials revisited. Zbl 1345.11024
Schinzel, A.
2
2012
On the factors of Stern polynomials (remarks on the preceding paper of M. Ulas). Zbl 1274.11067
Schinzel, Andrzej
3
2011
On equal values of trinomials. Zbl 1296.11021
Péter, Gyöngyvér; Pintér, Ákos; Schinzel, Andrzej
3
2011
On reducible trinomials. IV. Zbl 1249.12002
Schinzel, Andrzej
1
2011
Admissible tracks in Shamir’s scheme. Zbl 1209.94054
Schinzel, Andrzej; Spież, Stanisław; Urbanowicz, Jerzy
4
2010
Elementary symmetric polynomials in Shamir’s scheme. Zbl 1205.94111
Schinzel, Andrzej; Spież, Stanisław; Urbanowicz, Jerzy
4
2010
Extreme binary forms. Zbl 1197.11046
Białynicki-Birula, Andrzej; Schinzel, Andrzej
1
2010
On the number of terms of a power of a polynomial. Zbl 1221.11068
Schinzel, Andrzej; Zannier, Umberto
2
2009
Powers of roots in linear spaces. Zbl 1179.11035
Schinzel, A.; Schmidt, W. M.
1
2009
Representations of multivariate polynomials by sums of univariate polynomials in linear forms. Zbl 1154.11011
Białynicki-Birula, A.; Schinzel, A.
15
2008
Irreducibility and greatest common divisor algorithms for sparse polynomials. Zbl 1270.11129
Filaseta, Michael; Granville, Andrew; Schinzel, Andrzej
7
2008
Around Pólya’s theorem on the set of prime divisors of a linear recurrence. Zbl 1194.11026
Schinzel, A.
3
2008
The reduced length of a polynomial with complex coefficients. Zbl 1211.12002
Schinzel, A.
3
2008
On expressible sets of geometric sequences. Zbl 1215.11077
Hančl, Jaroslav; Schinzel, Andrzej; Šustek, Jan
1
2008
The number of solutions of a linear homogeneous congruence. Zbl 1239.11039
Schinzel, Andrzej
1
2008
On the reduced length of a polynomial with real coefficients. II. Zbl 1211.12003
Schinzel, Andrzej
4
2007
Self-inversive polynomials of odd degree. Zbl 1149.30010
Losonczi, László; Schinzel, Andrzej
2
2007
Andrzej Schinzel selecta. Volume I: Diophantine problems and polynomials. Volume II: Elementary, analytic and geometric number theory. Edited by Henryk Iwaniec, Władysław Narkiewicz and Jerzy Urbanowicz. Zbl 1115.11002
Schinzel, Andrzej
2
2007
On the reduced length of a polynomial with real coefficients. Zbl 1192.12001
Schinzel, Andrzej
5
2006
Self-inversive polynomials with all zeros on the unit circle. Zbl 1079.30004
Schinzel, A.
12
2005
On vectors whose span contains a given linear subspace. Zbl 1117.11036
Aliev, I.; Schinzel, A.; Schmidt, W. M.
1
2005
On testing the divisibility of lacunary polynomials by cyclotomic polynomials. Zbl 1099.13519
Filaseta, Michael; Schinzel, Andrzej
6
2004
On values of the Mahler measure in a quadratic field (solution of a problem of Dixon and Dubickas). Zbl 1057.11046
Schinzel, A.
2
2004
Corrigendum to the paper “On the Diophantine equation \(\sum^n_{k=1}A_kx_k^{\vartheta_k}=0\) ”. Zbl 1080.11026
Schinzel, Andrzej
1
2004
On equations \(y^2=x^n+k\) in a finite field. Zbl 1105.11015
Schinzel, A.; Skałba, M.
1
2004
On the congruence \(u_n \equiv 1 \pmod{p}\), where \(u_n\) is a recurring sequence of the second order. Zbl 1050.11016
Schinzel, Andrzej
2
2003
On power residues. Zbl 1061.11002
Schinzel, A.; Skałba, M.
2
2003
A property of polynomials with an application to Siegel’s lemma. Zbl 1116.11304
Schinzel, A.
5
2002
On a decomposition of polynomials in several variables. Zbl 1067.11012
Schinzel, Andrzej
4
2002
Numerical calculation of the density of prime numbers with a given least primitive root. Zbl 1030.11076
Paszkiewicz, A.; Schinzel, A.
3
2002
Comparison of \(L^1\)- and \(L^\infty\)-norms of squares of polynomials. Zbl 1017.11013
Schinzel, A.; Schmidt, W. M.
3
2002
On the greatest common divisor of two univariate polynomials. I. Zbl 1037.11016
Schinzel, A.
1
2002
On the least prime primitive root modulo a prime. Zbl 1008.11071
Paszkiewicz, A.; Schinzel, A.
1
2002
On a decomposition of polynomials in several variables. II. Zbl 0987.12001
Schinzel, A.
1
2002
On reducible trinomials. III. Zbl 1026.12003
Schinzel, Andrzej
5
2001
Polynomials with special regard to reducibility. Zbl 0956.12001
Schinzel, A.
109
2000
On reducible trinomials. II. Zbl 0960.12001
Schinzel, Andrzej
4
2000
On sums of three unit fractions with polynomial denominators. Zbl 0974.11015
Schinzel, A.
3
2000
On Lucas pseudoprimes with a prescribed value of the Jacobi symbol. Zbl 0951.11002
Rotkiewicz, Andrzej; Schinzel, Andrzej
2
2000
The Mahler measure of polynomials. Zbl 0932.12003
Schinzel, Andrzej
2
1999
Exponential congruences. Zbl 0962.11022
Schinzel, A.
1
1999
Class numbers and short sums of Kronecker symbols. Zbl 0934.11053
Schinzel, A.; Urbanowicz, J.; Van Wamelen, P.
1
1999
A property of the unitary convolution. Zbl 0921.11004
Schinzel, A.
2
1998
Squarefree values of polynomials and the \(abc\)-conjecture. Zbl 0926.11022
Browkin, J.; Filaseta, M.; Greaves, G.; Schinzel, A.
3
1997
A class of algebraic numbers. Zbl 0978.11057
Schinzel, Andrzej
2
1997
On homogeneous covering congruences. Zbl 0897.11001
Schinzel, A.
2
1997
Arithmetical properties of polynomials. Zbl 0868.11041
Schinzel, A.
1
1997
Triples of positive integers with the same sum and the same product product. Zbl 0932.11019
Schinzel, A.
7
1996
The least admissible value of the parameter in Hilbert’s irreducibility theorem. Zbl 0828.12003
Schinzel, Andrzej; Zannier, Umberto
3
1995
An application of Kloosterman sums. Zbl 0833.11039
Ruzsa, Imre Z.; Schinzel, Andrzej
2
1995
Errata to “On reducible trinomials”. Zbl 0839.12001
Schinzel, Andrzej
1
1995
Solved and unsolved problems on polynomials. Zbl 0835.12001
Schinzel, Andrzej
1
1995
On integers not of the form \(n-\varphi(n)\). Zbl 0820.11003
Browkin, J.; Schinzel, A.
1
1995
Remarks on maximum and minimum exponents in factoring. Zbl 0821.11004
Schinzel, Andrzej; Šalát, Tibor
4
1994
Distribution of solutions of diophantine equations \(f_ 1 (x_ 1) f_ 2 (x_ 2)= f_ 3 (x_ 3)\), where \(f_ i\) are polynomials. II. Zbl 0855.11014
Schinzel, A.; Zannier, U.
2
1994
On a conjecture of Posner and Rumsey. Zbl 0813.11061
Györy, K.; Schinzel, A.
1
1994
On reducible trinomials. Zbl 0795.12003
Schinzel, Andrzej
6
1993
On Runge’s theorem about diophantine equations. Zbl 0849.11033
Grytczuk, A.; Schinzel, A.
3
1992
On an analytic problem considered by Sierpiński and Ramanujan. Zbl 0767.11045
Schinzel, A.
3
1992
On a problem in elementary number theory. Zbl 0770.11001
Schinzel, A.; Wójcik, J.
1
1992
Distribution of solutions of diophantine equations \(f_ 1(x_ 1)f_ 2(x_ 2)=f_ 3(x_ 3)\), where \(f_ i\) are polynomials. Zbl 0762.11011
Schinzel, A.; Zannier, U.
1
1992
Maximal frequencies of elements in second-order linear recurring sequences over a finite field. Zbl 0747.11062
Niederreiter, H.; Schinzel, A.; Somer, L.
3
1991
A class of polynomials. Zbl 0755.11008
Schinzel, Andrzej
1
1991
A decomposition of integer vectors. IV. Zbl 0745.11036
Schinzel, A.
1
1991
Special Lucas sequences, including the Fibonacci sequence, modulo a prime. Zbl 0716.11009
Schinzel, A.
4
1990
On the greatest prime factor of \(\prod_{k=1}^x f(k)\). Zbl 0715.11050
Erdős, Paul; Schinzel, A.
2
1990
Localisation des zéros de polynômes intervenant en théorie du signal. Zbl 0703.30004
Nicolas, J. L.; Schinzel, A.
2
1990
An analog of Hilbert’s irreducibility theorem. Zbl 0693.12003
Schinzel, A.
1
1990
On n numbers on a circle. Zbl 0665.10010
Misiurewicz, M.; Schinzel, A.
4
1988
Reducibility of lacunary polynomials. VIII. Zbl 0652.12001
Schinzel, A.
1
1988
Multiplicative properties of the partition function. Zbl 0657.10011
Schinzel, A.; Wirsing, E.
5
1987
On the number of terms of a power of a polynomial. Zbl 0632.12024
Schinzel, A.
5
1987
Second order strong divisibility sequences in an algebraic number field. Zbl 0642.12002
Schinzel, A.
2
1987
Corrigendum to the paper ”On the arithmetical theory of continued fractions. II”. Zbl 0603.10006
Schinzel, A.
1
1986
Reducibility of polynomials in several variables. II. Zbl 0571.12011
Schinzel, Andrzej
7
1985
Hasse’s principle for systems of ternary quadratic forms and for one biquadratic form. Zbl 0533.10017
Schinzel, Andrzej
2
1984
On a problem of Lehmer. Zbl 0519.12012
Dobrowolski, E.; Lawton, W.; Schinzel, Andrzej
4
1983
On the number of irreducible factors of a polynomial. II. Zbl 0531.12001
Schinzel, Andrzej
2
1983
Selected topics on polynomials. Zbl 0487.12002
Schinzel, Andrzej
73
1982
On Sylow 2-subgroups of \(K_2O_F\) for quadratic number fields \(F\). Zbl 0493.12013
Browkin, J.; Schinzel, Andrzej
27
1982
Selmer’s conjecture and families of elliptic curves. Zbl 0474.14010
Cassels, J. W. S.; Schinzel, A.
8
1982
Diophantine equations with parameters. Zbl 0539.10017
Schinzel, Andrzej
4
1982
Families of curves having each an integer point. Zbl 0494.10007
Schinzel, Andrzej
1
1982
The number of zeros of polynomials in valuation rings of complete discretely valued fields. Zbl 0487.12014
Schinzel, Andrzej
1
1982
On Lucas and Lehmer sequences and their applications to Diophantine equations. Zbl 0487.10010
Györy, K.; Kiss, P.; Schinzel, Andrzej
4
1981
On ideals in the ring of polynomials in one variable over a Dedekind domain. Zbl 0494.13006
Schinzel, Andrzej; Wroblewski, J.
1
1981
On difference polynomials and hereditarily irreducible polynomials. Zbl 0435.12009
Rubel, L. A.; Schinzel, Andrzej; Tverberg, H.
10
1980
Small solutions of quadratic congruence and small fractional parts of quadratic forms. Zbl 0446.10026
Schinzel, Andrzej; Schlickewei, H. P.; Schmidt, W. M.
6
1980
Addendum and corrigendum to the paper ”Abelian binomials, power residues and exponential congruences”. Zbl 0438.12014
Schinzel, Andrzej
5
1980
Quadratic diophantine equations with parameters. Zbl 0446.10017
Lewis, D. J.; Schinzel, Andrzej
2
1980
...and 90 more Documents
all top 5

Cited by 987 Authors

30 Dubickas, Artūras
23 Luca, Florian
22 Schinzel, Andrzej
22 Zannier, Umberto M.
19 Hajdu, Lajos
9 Amoroso, Francesco
9 Chèze, Guillaume
9 Dèbes, Pierre
9 Smyth, Christopher J.
8 Chudziak, Jacek
8 Filaseta, Michael A.
8 Sharir, Micha
7 Fili, Paul A.
7 Gutierrez, Jaime
7 Jabłońska, Eliza
7 Klazar, Martin
7 Pethő, Attila
7 Rotkiewicz, Andrzej
7 Tijdeman, Robert
6 Bennett, Michael A.
6 Bérczes, Attila
6 Browkin, Jerzy
6 Corvaja, Pietro
6 Pakovich, Fedor
6 Qin, Hourong
6 Shparlinski, Igor E.
6 Ulas, Maciej
6 Zaharescu, Alexandru
5 Bodin, Arnaud
5 Dvornicich, Roberto
5 Fried, Michael David
5 Ghioca, Dragos
5 Győry, Kálmán
5 Ichimura, Humio
5 Kreso, Dijana
5 Najib, Salah
5 Pink, István
5 Samuels, Charles L.
5 Tucker, Thomas John
5 Tung, Shih-Ping
5 Urbanowicz, Jerzy
4 Aliev, Iskander M.
4 Ayad, Mohamed
4 Ballico, Edoardo
4 Bazsó, András
4 Bombieri, Enrico
4 Bonciocat, Nicolae Ciprian
4 Bugeaud, Yann
4 Cai, Tianxin
4 Cochrane, Todd
4 Fuchs, Clemens
4 Gao, Xiaoshan
4 Garcia, Stephan Ramon
4 Habegger, Philipp
4 Jackson, David M.
4 Jankauskas, Jonas
4 Jones, Lenny K.
4 Legrand, François
4 Maehara, Hiroshi
4 Masser, David William
4 Perucca, Antonella
4 Pollack, Paul
4 Pottmeyer, Lukas
4 Poulakis, Dimitrios
4 Ribenboim, Paulo
4 Sarnak, Peter Clive
4 Sevilla, David
4 Teitler, Zach
4 Tengely, Szabolcs
4 Vélez, William Yslas
4 von zur Gathen, Joachim
4 Wu, Qiang
4 Yu, Jie-Tai
4 Yue, Qin
4 Zhang, Yong
3 Aljadeff, Eli
3 Barańczuk, Stefan
3 Bertók, Csanád
3 Bilu, Yuri F.
3 Checcoli, Sara
3 Cheng, Xiaoyun
3 de Bondt, Michiel
3 Dilcher, Karl
3 Elsholtz, Christian
3 Erdős, Pál
3 Ericksen, Larry
3 Flammang, Valérie
3 Ford, Kevin B.
3 Galateau, Aurélien
3 Goulden, Ian P.
3 Granville, Andrew James
3 Guo, Xuejun
3 Harrington, Joshua
3 Iwaniec, Henryk
3 Mauduit, Christian
3 Nedev, Zhivko Prodanov
3 Ostaszewski, Adam J.
3 Pettie, Seth
3 Pintér, Ákos
3 Pintz, Janos
...and 887 more Authors
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Cited in 195 Serials

123 Journal of Number Theory
42 Mathematics of Computation
31 Journal de Théorie des Nombres de Bordeaux
25 Proceedings of the American Mathematical Society
23 Transactions of the American Mathematical Society
23 Journal of Symbolic Computation
22 Acta Arithmetica
22 Journal of Algebra
20 Monatshefte für Mathematik
16 Archiv der Mathematik
16 Journal of Pure and Applied Algebra
16 International Journal of Number Theory
15 Aequationes Mathematicae
15 Indagationes Mathematicae. New Series
13 Rocky Mountain Journal of Mathematics
11 Discrete Mathematics
11 Finite Fields and their Applications
10 Periodica Mathematica Hungarica
10 Compositio Mathematica
10 Functiones et Approximatio. Commentarii Mathematici
10 Inventiones Mathematicae
10 Mathematica Slovaca
9 Israel Journal of Mathematics
9 Manuscripta Mathematica
9 Acta Mathematica Hungarica
9 The Ramanujan Journal
8 Linear Algebra and its Applications
7 Journal of Combinatorial Theory. Series A
7 Mathematische Annalen
7 Rendiconti del Seminario Matematico della Università di Padova
7 Discrete & Computational Geometry
6 Journal of Mathematical Analysis and Applications
6 Lithuanian Mathematical Journal
6 Mathematical Notes
6 Duke Mathematical Journal
6 Combinatorica
5 Bulletin of the Australian Mathematical Society
5 Communications in Algebra
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Annales de l’Institut Fourier
5 European Journal of Combinatorics
5 Expositiones Mathematicae
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Science China. Mathematics
4 Acta Mathematica
4 Advances in Mathematics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Colloquium Mathematicum
4 Mathematische Zeitschrift
4 Results in Mathematics
4 Theoretical Computer Science
4 Bulletin des Sciences Mathématiques
4 Acta Mathematica et Informatica Universitatis Ostraviensis
4 Annals of Mathematics. Second Series
4 Integers
3 Acta Mathematica Academiae Scientiarum Hungaricae
3 American Mathematical Monthly
3 Computers & Mathematics with Applications
3 Information Processing Letters
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Studies in Applied Mathematics
3 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
3 Journal of Complexity
3 Information and Computation
3 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
3 Bulletin of the American Mathematical Society. New Series
3 Bulletin of the Polish Academy of Sciences, Mathematics
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Annales Mathématiques Blaise Pascal
3 Acta Mathematica Sinica. English Series
3 Algebraic & Geometric Topology
3 Foundations of Computational Mathematics
3 Journal of the Australian Mathematical Society
3 Communications in Mathematics
2 Discrete Applied Mathematics
2 Arkiv för Matematik
2 Czechoslovak Mathematical Journal
2 Glasgow Mathematical Journal
2 Journal of Approximation Theory
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Nachrichten
2 Michigan Mathematical Journal
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the Japan Academy. Series A
2 Annals of Pure and Applied Logic
2 Computer Aided Geometric Design
2 Algorithmica
2 Journal of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Elemente der Mathematik
2 Applicable Algebra in Engineering, Communication and Computing
2 Tatra Mountains Mathematical Publications
2 The New York Journal of Mathematics
2 Selecta Mathematica. New Series
2 Central European Journal of Mathematics
2 Journal of the Institute of Mathematics of Jussieu
2 Bulletin of the American Mathematical Society
2 Journal of Mathematical Cryptology
...and 95 more Serials
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Cited in 47 Fields

651 Number theory (11-XX)
145 Field theory and polynomials (12-XX)
94 Algebraic geometry (14-XX)
55 Combinatorics (05-XX)
51 Computer science (68-XX)
50 Commutative algebra (13-XX)
33 Difference and functional equations (39-XX)
30 Group theory and generalizations (20-XX)
25 Linear and multilinear algebra; matrix theory (15-XX)
24 Dynamical systems and ergodic theory (37-XX)
22 Functions of a complex variable (30-XX)
19 Numerical analysis (65-XX)
17 Real functions (26-XX)
17 Information and communication theory, circuits (94-XX)
16 \(K\)-theory (19-XX)
13 Mathematical logic and foundations (03-XX)
13 Associative rings and algebras (16-XX)
12 Convex and discrete geometry (52-XX)
11 Ordinary differential equations (34-XX)
9 Manifolds and cell complexes (57-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Geometry (51-XX)
6 Measure and integration (28-XX)
6 Special functions (33-XX)
5 Operator theory (47-XX)
4 History and biography (01-XX)
4 Topological groups, Lie groups (22-XX)
4 Approximations and expansions (41-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Functional analysis (46-XX)
4 Operations research, mathematical programming (90-XX)
3 Sequences, series, summability (40-XX)
2 Category theory; homological algebra (18-XX)
2 Potential theory (31-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Nonassociative rings and algebras (17-XX)
1 Partial differential equations (35-XX)
1 Abstract harmonic analysis (43-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Probability theory and stochastic processes (60-XX)
1 Quantum theory (81-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

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