Clemens Josef Fuchs

Research output

Research output per year 2000 2003 2004 2005 2006 2012 2023

• 40 Article
• 16 Conference paper
• 3 Chapter
• 1 Book
• 4 More
  • 1 Comment/debate
  • 1 Diploma Thesis
  • 1 Doctoral Thesis
  • 1 Habilitation

Research output per year

Research output per year

Search results

• 2023

  A polynomial variant of diophantine triples in linear recurrences

  Fuchs, C. & Heintze, S., 2023, In: Periodica Mathematica Hungarica. 86, 1, p. 289-299 11 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Polynomial 100%
  • Linear Recurrence 100%
  • Perfect Square 20%
  • Characteristic Polynomial 20%

• Approximation of values of algebraic elements over the ring of power sums

  Fuchs, C. & Heintze, S., 2023, In: Journal de Théorie des Nombres de Bordeaux. 35, 1, p. 63-86 24 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

• Correction to: A polynomial variant of diophantine triples in linear recurrences (Periodica Mathematica Hungarica, (2023), 86, 1, (289-299), 10.1007/s10998-022-00460-y)

  Fuchs, C. & Heintze, S., Mar 2023, In: Periodica Mathematica Hungarica. 86, 1, p. 300 1 p.

  Research output: Contribution to journal › Comment/debate › peer-review

  Open Access

  • Recurrent Disease 100%
• 2018

  Decomposable polynomials in second order linear recurrence sequences

  Fuchs, C., Karolus, C. & Kreso, D., 4 Oct 2018, (E-pub ahead of print) In: Manuscripta Mathematica.

  Research output: Contribution to journal › Article › peer-review

  • Polynomial 100%
  • Linear Recurrence 100%
  • Independent Constant 50%
• 2015

  Commutative algebraic groups and p-adic linear forms

  Fuchs, C. J. & Pham, D. H., 2015, In: Acta Arithmetica. 169, p. 115-147

  Research output: Contribution to journal › Article › peer-review

• The p-adic analytic subgroup theorem revisited

  Fuchs, C. J. & Pham, D. H., 2015, In: p-Adic Numbers, Ultrametric Analysis and Applications. 7, 2, p. 143-156

  Research output: Contribution to journal › Article › peer-review
• 2014

  Integral points on curves: Siegel's theorem after Siegel's proof

  Fuchs, C. J. & Zannier, U., 2014, On Some Applications of Diophantine Approximations. 1 ed. Pisa: Edizioni della Normale, p. 139-157

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

• On Some Applications of Diophantine Approximations

  Fuchs, C. J., 2014, On Some Applications of Diophantine Approximations. 1 ed. Pisa: Edizioni della Normale, p. 1-80

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

• Übungen zur Algebra. Aufgaben - Lösungen - Probeklausuren

  Fuchs, C. J. & Wüstholz, G., 2014, 1 ed. Springer Spektrum.

  Research output: Book/Report › Book
• 2013

  Combinatorial Diophantine equations and a refinement of a theorm on separated variables equations

  Fuchs, C. J., Bilu, Y., Luca, F. & Pinter, A., 2013, In: Publicationes Mathematicae. 82, 1, p. 219-254

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Diophantine Equation 100%
  • Binomial Coefficient 33%
  • Stirling numbers of the second kind 33%
  • Solution Set 33%
  • Solution Exists 33%

• Mathematik in Salzburg

  Fuchs, C. J., Hellekalek, P. & Thaler, M., 2013, In: Internationale Mathematische Nachrichten. 67, 222, p. 33-42

  Research output: Contribution to journal › Article

  Open Access
• 2012

  Composite rational functions expressible with few terms

  Fuchs, C. J. & Zannier, U., 2012, In: Journal of the European Mathematical Society. 14, 1, p. 175-208

  Research output: Contribution to journal › Article › peer-review

  • Rational Function 100%
  • Polynomial 50%

• Divisibility properties of hypergeometric polynomials

  Fuchs, C. J. & Shorey, T. N., 2012, In: Journal of Combinatorics and Number Theory. 4, 2, p. 77-86

  Research output: Contribution to journal › Article › peer-review

  Open Access

• On a problem of Diophantus for rationals

  Fuchs, C. J. & Dujella, A., 2012, In: Journal of Number Theory. 132, p. 2075-2083

  Research output: Contribution to journal › Article › peer-review

• On decomposable rational functions with given number of singularities

  Fuchs, C. J., Pethö, A. & Tengely, S., 2012, Proceedings of the RIMS Symposium Algebraic Systems and Theoretical Computer Science. ., Vol. 1809. p. 54-64 (RIMS Kôkyûroku).

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper

• Separated-variables equations and related questions

  Fuchs, C. J., 2012, (Accepted/In press) Oberwolfach Reports. ., Vol. 51/2012.

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper
• 2011

  An effective Shafarvich theorem for elliptic curves

  Fuchs, C. J., Wüstholz, G. & von Känel, R., 2011, In: Acta Arithmetica. 148, p. 189-203

  Research output: Contribution to journal › Article › peer-review

• Angle trisection with Origami and related topics

  Fuchs, C. J., 2011, In: Elemente der Mathematik. 66, p. 121-136

  Research output: Contribution to journal › Article › peer-review

• News on a problem of Diophantus

  Fuchs, C. J., 2011, DMV Jahrestagung. ., p. 31-31

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper

• On composite rational functions having a bounded number of zeros and poles

  Fuchs, C. J. & Pethö, A., 2011, In: Proceedings of the American Mathematical Society. 139, p. 31-38

  Research output: Contribution to journal › Article › peer-review
• 2009

  Divisibility properties of certain polynomials by Schur's method

  Fuchs, C. J., 2009, 17th ÖMG Congress Annual DMV conference. ., p. 149-149

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper

• Divisibility properties of Generalized Laguerre polynomials

  Fuchs, C. J. & Shorey, T. N., 2009, In: Indagationes Mathematicae. 20, (2), p. 217-231

  Research output: Contribution to journal › Article › peer-review

• On quantitative aspects of the unit sum number problem

  Fuchs, C. J., Tichy, R. & Ziegler, V., 2009, In: Archiv der Mathematik. 93, p. 259-268

  Research output: Contribution to journal › Article › peer-review

• Polynomial-exponential equations involving multi-recurrences

  Fuchs, C. J., 2009, In: Studia Scientiarum Mathematicarum Hungarica. 46, 3, p. 377-398

  Research output: Contribution to journal › Article › peer-review
• 2008

  A polynomial variant of a problem of Diophantus for pure powers

  Fuchs, C. J., Dujella, A. & Luca, F., 2008, In: International Journal of Number Theory. 4, 1, p. 57-71

  Research output: Contribution to journal › Article › peer-review

• Diophantine triples with values in binary recurrences

  Fuchs, C. J., Luca, F. & Szalay, L., 2008, In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 7, 4, p. 579-608

  Research output: Contribution to journal › Article › peer-review

• On the diophantine equation $G_n(x)=G_m(P(x))$ with $Q(x,y)=0$

  Pethö, A., Fuchs, C. J. & Tichy, R., 2008, Diophantine Approximation. 1 ed. Wien: Springer, Vol. 16. p. 199-209 (Developments in mathematics).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter
• 2007

  Effective solution of the D(-1)-quadruple conjecture

  Fuchs, C. J., Dujella, A. & Filipin, A., 2007, In: Acta Arithmetica. 128, p. 319-338

  Research output: Contribution to journal › Article › peer-review

• On a parametric family of Thue inequalities over function fields

  Fuchs, C. J. & Jadrijevic, B., 2007, In: Mathematical Proceedings of the Cambridge Philosophical Society. 143, p. 9-23

  Research output: Contribution to journal › Article › peer-review

• On a problem of Diophantus and Euler

  Fuchs, C. J., 2007, Oberwolfach Workshop on "Diophantine Approximation", Y. Nesterenko and H.P. Schlickewei (organizers). ., p. 51-53

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review
• 2006

  Diophantine m-tuples for linear polynomials. II. Equal degrees

  Fuchs, C. J., Dujella, A. & Walsh, G., 2006, In: Journal of Number Theory. 120, p. 213-228

  Research output: Contribution to journal › Article › peer-review

• On a family of Thue equations over function fields

  Fuchs, C. J. & Ziegler, V., 2006, In: Monatshefte für Mathematik. 147, p. 11-23

  Research output: Contribution to journal › Article › peer-review

• Polynomial solutions to parametrized families of Thue equations and inequalities

  Fuchs, C. J., 2006, Canadian Number Theory Association IX Meeting. ., p. 39-39

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

• Substitutions, abstract number systems and the space filling property

  Fuchs, C. J. & Tijdeman, R., 2006, In: Annales de l’Institut Fourier. 56, 7, p. 2345-2389

  Research output: Contribution to journal › Article › peer-review

• Thomas's family of Thue equations over function fields

  Fuchs, C. J. & Ziegler, V., 2006, In: The Quarterly Journal of Mathematics. 57, p. 81-91

  Research output: Contribution to journal › Article › peer-review

  • Function Field 100%
  • Polynomial 50%
• 2005

  Complete solution of a problem of Diophantus and Euler

  Fuchs, C. J. & Dujella, A., 2005, In: Journal of the London Mathematical Society. 71, p. 33-52

  Research output: Contribution to journal › Article › peer-review

• Diophantine equations with recurrences over function fields

  Fuchs, C. J., 2005, XXIViemes Journees Arithmetiques. ., p. 29-29

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

• Diophantine problems with linear recurrences via the Subspace Theorem

  Fuchs, C. J., 2005, In: INTEGERS: Electronic Journal of Combinatorial Number Theory . 5, 3, p. #A08-#A08

  Research output: Contribution to journal › Article › peer-review

• Effective bounds for the zeros of linear recurrences in function fields

  Fuchs, C. J. & Pethö, A., 2005, In: Journal de Théorie des Nombres de Bordeaux. 17, 3, p. 749-766

  Research output: Contribution to journal › Article › peer-review

• Recent applications of unit equations over function fields

  Fuchs, C. J., 2005, Mathematik 2005 Klagenfurt. Judenburg: 1adruck, p. 82-82

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

• Upper bounds for the solutions of Diophantine problems

  Fuchs, C. J., 2005

  Research output: Thesis › Habilitation
• 2004

  Complete solution of a problem of Diophantus and Euler

  Fuchs, C. J., 2004, Canadian Number Theory Association VIII Meeting. ., p. 37-37

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

• Complete solution of the polynomial version of a problem of Diophantus

  Fuchs, C. J. & Dujella, A., 2004, In: Journal of Number Theory. 106, p. 326-344

  Research output: Contribution to journal › Article › peer-review

• Diophantine inequalities involving several power sums

  Fuchs, C. J. & Amedeo, S., 2004, In: Manuscripta Mathematica. 115, p. 163-178

  Research output: Contribution to journal › Article › peer-review

• On the equation G_n(x)=G_m(P(x)) for third order linear recurrences

  Fuchs, C. J., 2004, In: Portugaliae Mathematica. 61, p. 1-24

  Research output: Contribution to journal › Article › peer-review

• Polynomial-exponential equations involving several linear recurrences

  Fuchs, C. J., 2004, In: Publicationes Mathematicae. 65, 1-2, p. 149-172

  Research output: Contribution to journal › Article › peer-review
• 2003

  An upper bound for the G.C.D. of two linear recurring sequences

  Fuchs, C. J., 2003, In: Mathematica Slovaca. 53, 1, p. 21-42

  Research output: Contribution to journal › Article › peer-review

• A polynomial variant of a problem of Diophantus and Euler

  Fuchs, C. J. & Dujella, A., 2003, In: The Rocky Mountain Journal of Mathematics. 33, p. 797-811

  Research output: Contribution to journal › Article › peer-review

• Diophantine equations involving several linear recurrences

  Fuchs, C. J., 2003, Conference in Number Theory in Honour of Prof. H.C. Williams. ., p. 13-13

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

• Diophantine inequalities involving several power sums

  Fuchs, C. J., 2003, Diophantine Approximation. ., p. 4-5

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review