# zbMATH — the first resource for mathematics

## Elsholtz, Christian

Compute Distance To:
 Author ID: elsholtz.christian Published as: Elsholtz, Christian; Elsholtz, C. Homepage: https://www.math.tugraz.at/~elsholtz/ External Links: MGP · ORCID · Google Scholar · MathOverflow · dblp
 Documents Indexed: 81 Publications since 1999, including 3 Books Reviewing Activity: 98 Reviews
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#### Co-Authors

 40 single-authored 9 Dietmann, Rainer 4 Planitzer, Stefan 3 Schlage-Puchta, Jan-Christoph 3 Shparlinski, Igor E. 2 Buttkewitz, Yvonne 2 Croot, Ernest S. III 2 Rackham, Laurence 2 Technau, Niclas 1 Aistleitner, Christoph 1 Browning, Timothy Daniel 1 Brüdern, Jörg 1 Chen, Yonggao 1 Dujella, Andrej 1 Edel, Yves 1 Ellenberg, Jordan S. 1 Filipin, Alan 1 Ford, Kevin B. 1 Frei, Christopher 1 Fujita, Yasutsugu Fujita 1 Geroldinger, Alfred 1 Grabner, Peter J. 1 Gunderson, David S. 1 Gyarmati, Katalin 1 Hall, Chris 1 Harman, Glyn 1 Harper, Adam J. 1 Heuberger, Clemens 1 Jiang, Lili 1 Klotz, Walter 1 Kowalski, Emmanuel 1 Kubertin, Silke 1 List, Christian 1 Luca, Florian 1 Mütze, Annette 1 Pach, Péter Pál 1 Prodinger, Helmut 1 Simonovits, Miklós 1 Tao, Terence 1 Technau, Marc 1 Tichy, Robert Franz
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#### Serials

 15 Internationale Mathematische Nachrichten 4 American Mathematical Monthly 4 Acta Arithmetica 4 The Quarterly Journal of Mathematics 3 Bulletin of the London Mathematical Society 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of the London Mathematical Society. Second Series 3 Transactions of the American Mathematical Society 3 Acta Mathematica Hungarica 2 Mathematische Semesterberichte 2 Archiv der Mathematik 2 Mathematika 2 Monatshefte für Mathematik 1 Bulletin of the Australian Mathematical Society 1 IEEE Transactions on Information Theory 1 Israel Journal of Mathematics 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Combinatorica 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 Designs, Codes and Cryptography 1 Elemente der Mathematik 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Indagationes Mathematicae. New Series 1 The Ramanujan Journal 1 Journal of the Australian Mathematical Society 1 International Journal of Number Theory 1 Berichte aus der Mathematik
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#### Fields

 66 Number theory (11-XX) 17 General and overarching topics; collections (00-XX) 11 Combinatorics (05-XX) 8 Mathematics education (97-XX) 5 Real functions (26-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Geometry (51-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

45 Publications have been cited 195 times in 146 Documents Cited by Year
Zero-sum problems in finite abelian groups and affine caps. Zbl 1205.11028
Edel, Yves; Elsholtz, Christian; Geroldinger, Alfred; Kubertin, Silke; Rackham, Laurence
2007
Lower bounds for multidimensional zero sums. Zbl 1064.11018
Elsholtz, Christian
2004
On Diophantine quintuples and $$D(-1)$$-quadruples. Zbl 1347.11030
Elsholtz, Christian; Filipin, Alan; Fujita, Yasutsugu
2014
Counting the number of solutions to the Erdős-Straus equation on unit fractions. Zbl 1304.11018
Elsholtz, Christian; Tao, Terence
2013
Prescribing the binary digits of squarefree numbers and quadratic residues. Zbl 1431.11015
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
2017
Sums of $$k$$ unit fractions. Zbl 0982.11016
Elsholtz, Christian
2001
The number of representations of rationals as a sum of unit fractions. Zbl 1306.11029
Browning, T. D.; Elsholtz, C.
2011
Shifted products that are coprime pure powers. Zbl 1131.11013
Dietmann, Rainer; Elsholtz, Christian; Gyarmati, Katalin; Simonovits, Miklós
2005
The inverse Goldbach problem. Zbl 1040.11070
Elsholtz, Christian
2001
Non-simple abelian varieties in a family: geometric and analytic approaches. Zbl 1263.11064
Ellenberg, Jordan S.; Elsholtz, Christian; Hall, Chris; Kowalski, Emmanuel
2009
Additive decomposability of multiplicatively defined sets. Zbl 1196.11139
Elsholtz, Christian
2006
Multiplicative decomposability of shifted sets. Zbl 1203.11064
Elsholtz, Christian
2008
On gaps between primitive roots in the Hamming metric. Zbl 1282.11123
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
2013
Additive decompositions of sets with restricted prime factors. Zbl 1325.11098
2015
On gaps between quadratic non-residues in the Euclidean and Hamming metrics. Zbl 1378.11010
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
2013
A remark on Hofmann and Wolke’s additive decompositions of the set of primes. Zbl 1047.11090
Elsholtz, Christian
2001
The number of Huffman codes, compact trees, and sums of unit fractions. Zbl 1364.94673
Elsholtz, Christian; Heuberger, Clemens; Prodinger, Helmut
2013
Maximal dimension of unit simplices. Zbl 1138.05312
Elsholtz, Christian; Klotz, Walter
2005
The distribution of sequences in residue classes. Zbl 1004.11052
Elsholtz, Christian
2002
Hilbert cubes in progression-free sets and in the set of squares. Zbl 1347.11013
Dietmann, Rainer; Elsholtz, Christian
2012
Patterns and complexity of multiplicative functions. Zbl 1253.11006
Buttkewitz, Y.; Elsholtz, C.
2011
Egyptian fractions with restrictions. Zbl 1271.11041
Chen, Yong-Gao; Elsholtz, Christian; Jiang, Li-Li
2012
Sudoku in mathematics lessons. (Sudoku im Mathematikunterricht.) Zbl 1190.00013
Elsholtz, Christian; Mütze, Annette
2007
Maximal sum-free sets of integer lattice grids. Zbl 1427.11009
Elsholtz, Christian; Rackham, Laurence
2017
Almost all primes have a multiple of small Hamming weight. Zbl 1388.11069
Elsholtz, Christian
2016
A simple proof of Sen’s possibility theorem on majority decisions. Zbl 1154.91377
Elsholtz, Christian; List, Christian
2005
On variants of the larger sieve. Zbl 1060.11056
Croot, Ernest S. III; Elsholtz, Christian
2004
Some remarks on the additive structure of the set of primes. Zbl 1035.11049
Elsholtz, Christian
2002
Sums of $$k$$ unit fractions. Zbl 1023.11015
Elsholtz, Christian
1999
On Romanov’s constant. Zbl 1394.11070
Elsholtz, Christian; Schlage-Puchta, Jan-Christoph
2018
Sumsets being squares. Zbl 1313.11120
Dujella, A.; Elsholtz, C.
2013
Combinatorial proofs of the two-squares theorem and generalizations. (Kombinatorische Beweise des Zweiquadratesatzes und Verallgemeinerungen.) Zbl 1050.11045
Elsholtz, Christian
2003
The number $$\Gamma(k)$$ in Waring’s problem. Zbl 1197.11133
Elsholtz, Christian
2008
On thin sets of primes expressible as sumsets. Zbl 1072.11076
Croot, E. S. III; Elsholtz, C.
2005
Triples of primes in arithmetic progressions. Zbl 1045.11060
Elsholtz, Christian
2002
Prime divisors of thin sequences. Zbl 1290.11004
Elsholtz, Christian
2012
A combinatorial approach to sums of two squares and related problems. Zbl 1268.11052
Elsholtz, Christian
2010
The number of solutions of the Erdős-Straus equation and sums of $$k$$ unit fractions. Zbl 1468.11094
Elsholtz, Christian; Planitzer, Stefan
2020
Congruence properties of multiplicative functions on sumsets and monochromatic solutions of linear equations. Zbl 1397.11020
Elsholtz, Christian; Gunderson, David S.
2015
The central limit theorem for subsequences in probabilistic number theory. Zbl 1314.60072
Aistleitner, Christoph; Elsholtz, Christian
2012
Egyptian fractions with odd denominators. Zbl 1382.11031
Elsholtz, Christian
2016
A survey on additive and multiplicative decompositions of sumsets and of shifted sets. Zbl 1202.11009
Elsholtz, Christian
2009
Hilbert cubes in arithmetic sets. Zbl 1342.11085
Dietmann, Rainer; Elsholtz, Christian
2015
Sums of two squares and one biquadrate. Zbl 1207.11046
Dietmann, Rainer; Elsholtz, Christian
2008
A problem of Ramanujan, Erdős, and Kátai on the iterated divisor function. Zbl 1266.11100
Buttkewitz, Yvonne; Elsholtz, Christian; Ford, Kevin; Schlage-Puchta, Jan-Christoph
2012
The number of solutions of the Erdős-Straus equation and sums of $$k$$ unit fractions. Zbl 1468.11094
Elsholtz, Christian; Planitzer, Stefan
2020
On Romanov’s constant. Zbl 1394.11070
Elsholtz, Christian; Schlage-Puchta, Jan-Christoph
2018
Prescribing the binary digits of squarefree numbers and quadratic residues. Zbl 1431.11015
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
2017
Maximal sum-free sets of integer lattice grids. Zbl 1427.11009
Elsholtz, Christian; Rackham, Laurence
2017
Almost all primes have a multiple of small Hamming weight. Zbl 1388.11069
Elsholtz, Christian
2016
Egyptian fractions with odd denominators. Zbl 1382.11031
Elsholtz, Christian
2016
Additive decompositions of sets with restricted prime factors. Zbl 1325.11098
2015
Congruence properties of multiplicative functions on sumsets and monochromatic solutions of linear equations. Zbl 1397.11020
Elsholtz, Christian; Gunderson, David S.
2015
Hilbert cubes in arithmetic sets. Zbl 1342.11085
Dietmann, Rainer; Elsholtz, Christian
2015
On Diophantine quintuples and $$D(-1)$$-quadruples. Zbl 1347.11030
Elsholtz, Christian; Filipin, Alan; Fujita, Yasutsugu
2014
Counting the number of solutions to the Erdős-Straus equation on unit fractions. Zbl 1304.11018
Elsholtz, Christian; Tao, Terence
2013
On gaps between primitive roots in the Hamming metric. Zbl 1282.11123
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
2013
On gaps between quadratic non-residues in the Euclidean and Hamming metrics. Zbl 1378.11010
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
2013
The number of Huffman codes, compact trees, and sums of unit fractions. Zbl 1364.94673
Elsholtz, Christian; Heuberger, Clemens; Prodinger, Helmut
2013
Sumsets being squares. Zbl 1313.11120
Dujella, A.; Elsholtz, C.
2013
Hilbert cubes in progression-free sets and in the set of squares. Zbl 1347.11013
Dietmann, Rainer; Elsholtz, Christian
2012
Egyptian fractions with restrictions. Zbl 1271.11041
Chen, Yong-Gao; Elsholtz, Christian; Jiang, Li-Li
2012
Prime divisors of thin sequences. Zbl 1290.11004
Elsholtz, Christian
2012
The central limit theorem for subsequences in probabilistic number theory. Zbl 1314.60072
Aistleitner, Christoph; Elsholtz, Christian
2012
A problem of Ramanujan, Erdős, and Kátai on the iterated divisor function. Zbl 1266.11100
Buttkewitz, Yvonne; Elsholtz, Christian; Ford, Kevin; Schlage-Puchta, Jan-Christoph
2012
The number of representations of rationals as a sum of unit fractions. Zbl 1306.11029
Browning, T. D.; Elsholtz, C.
2011
Patterns and complexity of multiplicative functions. Zbl 1253.11006
Buttkewitz, Y.; Elsholtz, C.
2011
A combinatorial approach to sums of two squares and related problems. Zbl 1268.11052
Elsholtz, Christian
2010
Non-simple abelian varieties in a family: geometric and analytic approaches. Zbl 1263.11064
Ellenberg, Jordan S.; Elsholtz, Christian; Hall, Chris; Kowalski, Emmanuel
2009
A survey on additive and multiplicative decompositions of sumsets and of shifted sets. Zbl 1202.11009
Elsholtz, Christian
2009
Multiplicative decomposability of shifted sets. Zbl 1203.11064
Elsholtz, Christian
2008
The number $$\Gamma(k)$$ in Waring’s problem. Zbl 1197.11133
Elsholtz, Christian
2008
Sums of two squares and one biquadrate. Zbl 1207.11046
Dietmann, Rainer; Elsholtz, Christian
2008
Zero-sum problems in finite abelian groups and affine caps. Zbl 1205.11028
Edel, Yves; Elsholtz, Christian; Geroldinger, Alfred; Kubertin, Silke; Rackham, Laurence
2007
Sudoku in mathematics lessons. (Sudoku im Mathematikunterricht.) Zbl 1190.00013
Elsholtz, Christian; Mütze, Annette
2007
Additive decomposability of multiplicatively defined sets. Zbl 1196.11139
Elsholtz, Christian
2006
Shifted products that are coprime pure powers. Zbl 1131.11013
Dietmann, Rainer; Elsholtz, Christian; Gyarmati, Katalin; Simonovits, Miklós
2005
Maximal dimension of unit simplices. Zbl 1138.05312
Elsholtz, Christian; Klotz, Walter
2005
A simple proof of Sen’s possibility theorem on majority decisions. Zbl 1154.91377
Elsholtz, Christian; List, Christian
2005
On thin sets of primes expressible as sumsets. Zbl 1072.11076
Croot, E. S. III; Elsholtz, C.
2005
Lower bounds for multidimensional zero sums. Zbl 1064.11018
Elsholtz, Christian
2004
On variants of the larger sieve. Zbl 1060.11056
Croot, Ernest S. III; Elsholtz, Christian
2004
Combinatorial proofs of the two-squares theorem and generalizations. (Kombinatorische Beweise des Zweiquadratesatzes und Verallgemeinerungen.) Zbl 1050.11045
Elsholtz, Christian
2003
The distribution of sequences in residue classes. Zbl 1004.11052
Elsholtz, Christian
2002
Some remarks on the additive structure of the set of primes. Zbl 1035.11049
Elsholtz, Christian
2002
Triples of primes in arithmetic progressions. Zbl 1045.11060
Elsholtz, Christian
2002
Sums of $$k$$ unit fractions. Zbl 0982.11016
Elsholtz, Christian
2001
The inverse Goldbach problem. Zbl 1040.11070
Elsholtz, Christian
2001
A remark on Hofmann and Wolke’s additive decompositions of the set of primes. Zbl 1047.11090
Elsholtz, Christian
2001
Sums of $$k$$ unit fractions. Zbl 1023.11015
Elsholtz, Christian
1999
all top 5