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Elsholtz, Christian

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Author ID: elsholtz.christian Recent zbMATH articles by "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

Publications by Year

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
39
2007
Lower bounds for multidimensional zero sums. Zbl 1064.11018
Elsholtz, Christian
18
2004
On Diophantine quintuples and \(D(-1)\)-quadruples. Zbl 1347.11030
Elsholtz, Christian; Filipin, Alan; Fujita, Yasutsugu
15
2014
Counting the number of solutions to the Erdős-Straus equation on unit fractions. Zbl 1304.11018
Elsholtz, Christian; Tao, Terence
11
2013
Prescribing the binary digits of squarefree numbers and quadratic residues. Zbl 1431.11015
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
10
2017
Sums of \(k\) unit fractions. Zbl 0982.11016
Elsholtz, Christian
7
2001
The number of representations of rationals as a sum of unit fractions. Zbl 1306.11029
Browning, T. D.; Elsholtz, C.
6
2011
Shifted products that are coprime pure powers. Zbl 1131.11013
Dietmann, Rainer; Elsholtz, Christian; Gyarmati, Katalin; Simonovits, Miklós
5
2005
The inverse Goldbach problem. Zbl 1040.11070
Elsholtz, Christian
5
2001
Non-simple abelian varieties in a family: geometric and analytic approaches. Zbl 1263.11064
Ellenberg, Jordan S.; Elsholtz, Christian; Hall, Chris; Kowalski, Emmanuel
5
2009
Additive decomposability of multiplicatively defined sets. Zbl 1196.11139
Elsholtz, Christian
4
2006
Multiplicative decomposability of shifted sets. Zbl 1203.11064
Elsholtz, Christian
4
2008
On gaps between primitive roots in the Hamming metric. Zbl 1282.11123
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
4
2013
Additive decompositions of sets with restricted prime factors. Zbl 1325.11098
Elsholtz, Christian; Harper, Adam J.
4
2015
On gaps between quadratic non-residues in the Euclidean and Hamming metrics. Zbl 1378.11010
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
4
2013
A remark on Hofmann and Wolke’s additive decompositions of the set of primes. Zbl 1047.11090
Elsholtz, Christian
4
2001
The number of Huffman codes, compact trees, and sums of unit fractions. Zbl 1364.94673
Elsholtz, Christian; Heuberger, Clemens; Prodinger, Helmut
3
2013
Maximal dimension of unit simplices. Zbl 1138.05312
Elsholtz, Christian; Klotz, Walter
3
2005
The distribution of sequences in residue classes. Zbl 1004.11052
Elsholtz, Christian
3
2002
Hilbert cubes in progression-free sets and in the set of squares. Zbl 1347.11013
Dietmann, Rainer; Elsholtz, Christian
3
2012
Patterns and complexity of multiplicative functions. Zbl 1253.11006
Buttkewitz, Y.; Elsholtz, C.
3
2011
Egyptian fractions with restrictions. Zbl 1271.11041
Chen, Yong-Gao; Elsholtz, Christian; Jiang, Li-Li
3
2012
Sudoku in mathematics lessons. (Sudoku im Mathematikunterricht.) Zbl 1190.00013
Elsholtz, Christian; Mütze, Annette
2
2007
Maximal sum-free sets of integer lattice grids. Zbl 1427.11009
Elsholtz, Christian; Rackham, Laurence
2
2017
Almost all primes have a multiple of small Hamming weight. Zbl 1388.11069
Elsholtz, Christian
2
2016
A simple proof of Sen’s possibility theorem on majority decisions. Zbl 1154.91377
Elsholtz, Christian; List, Christian
2
2005
On variants of the larger sieve. Zbl 1060.11056
Croot, Ernest S. III; Elsholtz, Christian
2
2004
Some remarks on the additive structure of the set of primes. Zbl 1035.11049
Elsholtz, Christian
2
2002
Sums of \(k\) unit fractions. Zbl 1023.11015
Elsholtz, Christian
2
1999
On Romanov’s constant. Zbl 1394.11070
Elsholtz, Christian; Schlage-Puchta, Jan-Christoph
2
2018
Sumsets being squares. Zbl 1313.11120
Dujella, A.; Elsholtz, C.
2
2013
Combinatorial proofs of the two-squares theorem and generalizations. (Kombinatorische Beweise des Zweiquadratesatzes und Verallgemeinerungen.) Zbl 1050.11045
Elsholtz, Christian
1
2003
The number \(\Gamma(k)\) in Waring’s problem. Zbl 1197.11133
Elsholtz, Christian
1
2008
On thin sets of primes expressible as sumsets. Zbl 1072.11076
Croot, E. S. III; Elsholtz, C.
1
2005
Triples of primes in arithmetic progressions. Zbl 1045.11060
Elsholtz, Christian
1
2002
Prime divisors of thin sequences. Zbl 1290.11004
Elsholtz, Christian
1
2012
A combinatorial approach to sums of two squares and related problems. Zbl 1268.11052
Elsholtz, Christian
1
2010
The number of solutions of the Erdős-Straus equation and sums of \(k\) unit fractions. Zbl 1468.11094
Elsholtz, Christian; Planitzer, Stefan
1
2020
Congruence properties of multiplicative functions on sumsets and monochromatic solutions of linear equations. Zbl 1397.11020
Elsholtz, Christian; Gunderson, David S.
1
2015
The central limit theorem for subsequences in probabilistic number theory. Zbl 1314.60072
Aistleitner, Christoph; Elsholtz, Christian
1
2012
Egyptian fractions with odd denominators. Zbl 1382.11031
Elsholtz, Christian
1
2016
A survey on additive and multiplicative decompositions of sumsets and of shifted sets. Zbl 1202.11009
Elsholtz, Christian
1
2009
Hilbert cubes in arithmetic sets. Zbl 1342.11085
Dietmann, Rainer; Elsholtz, Christian
1
2015
Sums of two squares and one biquadrate. Zbl 1207.11046
Dietmann, Rainer; Elsholtz, Christian
1
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
1
2012
The number of solutions of the Erdős-Straus equation and sums of \(k\) unit fractions. Zbl 1468.11094
Elsholtz, Christian; Planitzer, Stefan
1
2020
On Romanov’s constant. Zbl 1394.11070
Elsholtz, Christian; Schlage-Puchta, Jan-Christoph
2
2018
Prescribing the binary digits of squarefree numbers and quadratic residues. Zbl 1431.11015
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
10
2017
Maximal sum-free sets of integer lattice grids. Zbl 1427.11009
Elsholtz, Christian; Rackham, Laurence
2
2017
Almost all primes have a multiple of small Hamming weight. Zbl 1388.11069
Elsholtz, Christian
2
2016
Egyptian fractions with odd denominators. Zbl 1382.11031
Elsholtz, Christian
1
2016
Additive decompositions of sets with restricted prime factors. Zbl 1325.11098
Elsholtz, Christian; Harper, Adam J.
4
2015
Congruence properties of multiplicative functions on sumsets and monochromatic solutions of linear equations. Zbl 1397.11020
Elsholtz, Christian; Gunderson, David S.
1
2015
Hilbert cubes in arithmetic sets. Zbl 1342.11085
Dietmann, Rainer; Elsholtz, Christian
1
2015
On Diophantine quintuples and \(D(-1)\)-quadruples. Zbl 1347.11030
Elsholtz, Christian; Filipin, Alan; Fujita, Yasutsugu
15
2014
Counting the number of solutions to the Erdős-Straus equation on unit fractions. Zbl 1304.11018
Elsholtz, Christian; Tao, Terence
11
2013
On gaps between primitive roots in the Hamming metric. Zbl 1282.11123
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
4
2013
On gaps between quadratic non-residues in the Euclidean and Hamming metrics. Zbl 1378.11010
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
4
2013
The number of Huffman codes, compact trees, and sums of unit fractions. Zbl 1364.94673
Elsholtz, Christian; Heuberger, Clemens; Prodinger, Helmut
3
2013
Sumsets being squares. Zbl 1313.11120
Dujella, A.; Elsholtz, C.
2
2013
Hilbert cubes in progression-free sets and in the set of squares. Zbl 1347.11013
Dietmann, Rainer; Elsholtz, Christian
3
2012
Egyptian fractions with restrictions. Zbl 1271.11041
Chen, Yong-Gao; Elsholtz, Christian; Jiang, Li-Li
3
2012
Prime divisors of thin sequences. Zbl 1290.11004
Elsholtz, Christian
1
2012
The central limit theorem for subsequences in probabilistic number theory. Zbl 1314.60072
Aistleitner, Christoph; Elsholtz, Christian
1
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
1
2012
The number of representations of rationals as a sum of unit fractions. Zbl 1306.11029
Browning, T. D.; Elsholtz, C.
6
2011
Patterns and complexity of multiplicative functions. Zbl 1253.11006
Buttkewitz, Y.; Elsholtz, C.
3
2011
A combinatorial approach to sums of two squares and related problems. Zbl 1268.11052
Elsholtz, Christian
1
2010
Non-simple abelian varieties in a family: geometric and analytic approaches. Zbl 1263.11064
Ellenberg, Jordan S.; Elsholtz, Christian; Hall, Chris; Kowalski, Emmanuel
5
2009
A survey on additive and multiplicative decompositions of sumsets and of shifted sets. Zbl 1202.11009
Elsholtz, Christian
1
2009
Multiplicative decomposability of shifted sets. Zbl 1203.11064
Elsholtz, Christian
4
2008
The number \(\Gamma(k)\) in Waring’s problem. Zbl 1197.11133
Elsholtz, Christian
1
2008
Sums of two squares and one biquadrate. Zbl 1207.11046
Dietmann, Rainer; Elsholtz, Christian
1
2008
Zero-sum problems in finite abelian groups and affine caps. Zbl 1205.11028
Edel, Yves; Elsholtz, Christian; Geroldinger, Alfred; Kubertin, Silke; Rackham, Laurence
39
2007
Sudoku in mathematics lessons. (Sudoku im Mathematikunterricht.) Zbl 1190.00013
Elsholtz, Christian; Mütze, Annette
2
2007
Additive decomposability of multiplicatively defined sets. Zbl 1196.11139
Elsholtz, Christian
4
2006
Shifted products that are coprime pure powers. Zbl 1131.11013
Dietmann, Rainer; Elsholtz, Christian; Gyarmati, Katalin; Simonovits, Miklós
5
2005
Maximal dimension of unit simplices. Zbl 1138.05312
Elsholtz, Christian; Klotz, Walter
3
2005
A simple proof of Sen’s possibility theorem on majority decisions. Zbl 1154.91377
Elsholtz, Christian; List, Christian
2
2005
On thin sets of primes expressible as sumsets. Zbl 1072.11076
Croot, E. S. III; Elsholtz, C.
1
2005
Lower bounds for multidimensional zero sums. Zbl 1064.11018
Elsholtz, Christian
18
2004
On variants of the larger sieve. Zbl 1060.11056
Croot, Ernest S. III; Elsholtz, Christian
2
2004
Combinatorial proofs of the two-squares theorem and generalizations. (Kombinatorische Beweise des Zweiquadratesatzes und Verallgemeinerungen.) Zbl 1050.11045
Elsholtz, Christian
1
2003
The distribution of sequences in residue classes. Zbl 1004.11052
Elsholtz, Christian
3
2002
Some remarks on the additive structure of the set of primes. Zbl 1035.11049
Elsholtz, Christian
2
2002
Triples of primes in arithmetic progressions. Zbl 1045.11060
Elsholtz, Christian
1
2002
Sums of \(k\) unit fractions. Zbl 0982.11016
Elsholtz, Christian
7
2001
The inverse Goldbach problem. Zbl 1040.11070
Elsholtz, Christian
5
2001
A remark on Hofmann and Wolke’s additive decompositions of the set of primes. Zbl 1047.11090
Elsholtz, Christian
4
2001
Sums of \(k\) unit fractions. Zbl 1023.11015
Elsholtz, Christian
2
1999
all top 5

Cited by 187 Authors

17 Elsholtz, Christian
8 Shparlinski, Igor E.
7 Gao, Weidong
7 Schmid, Wolfgang Alexander
5 Dujella, Andrej
5 Geroldinger, Alfred
4 Dietmann, Rainer
4 Girard, Benjamin
4 Han, Dongchun
4 Luca, Florian
4 Sárközy, András
4 Togbé, Alain
4 Zhong, Qinghai
3 Adhikari, Sukumar Das
3 Cadoret, Anna
3 Chintamani, Mohan N.
3 Fan, Yushuang
3 He, Bo
3 Konyagin, Sergeĭ Vladimirovich
3 Lapkova, Kostadinka
3 Marchan, Luz Elimar
3 Matomäki, Kaisa Sofia
3 Ordaz, Oscar
3 Pappalardi, Francesco
3 Paul, Prabal
3 Swaenepoel, Cathy
3 Tamagawa, Akio
3 Zhang, Hanbin
2 Chang, Mei-Chu
2 Cipu, Mihai
2 Filipin, Alan
2 Gabdullin, Mikhail R.
2 Grynkiewicz, David J.
2 Győry, Kálmán
2 Hajdu, Lajos
2 Harper, Adam J.
2 Hegyvári, Norbert
2 Krenn, Daniel
2 Moriya, B. K.
2 Pach, Péter Pál
2 Peng, Jiangtao
2 Radziwiłł, Maksym
2 Roy, Bidisha
2 Sander, Torsten
2 Sauermann, Lisa
2 Sidorenko, Alexander
2 Soldo, Ivan
2 Sun, Fang
2 Tao, Terence
2 Thangadurai, Ravindranathan
2 Wagner, Stephan G.
2 Wang, Linlin
1 Abudayah, Mohammad
1 Adžaga, Nikola
1 Agrawal, Komal
1 Alomari, Omar
1 Balasubramanian, Ramachandran
1 Banderier, Cyril
1 Bau, Sheng
1 Bayad, Abdelmejid
1 Bennett, Michael
1 Bergelson, Vitaly
1 Berger, Aaron
1 Blackburn, Simon R.
1 Bobkov, Sergey Germanovich
1 Bradford, Kyle
1 Braun, Benjamin
1 Browning, Timothy Daniel
1 Bugeaud, Yann
1 Bujačić, Sanda
1 Carella, Nelson A.
1 Chistyakov, Gennadiy P.
1 Choi, Ilkyoo
1 Christopher, David A.
1 Chu, Yuming
1 Corrales, Hugo
1 Corry, Scott
1 Dartyge, Cécile
1 Dietrich, Franz K.
1 Dossavi-Yovo, Appolinaire
1 Dudek, Adrian W.
1 Edel, Yves
1 Ellenberg, Jordan S.
1 Ferguson, Ron
1 Flynn, Eugene Victor
1 Fox, Jacob
1 Fuchs, Clemens
1 Fujita, Yasutsugu Fujita
1 García Puente, Luis David
1 Garcia, Stephan Ramon
1 García, Victor Cuauhtemoc
1 Glass, Darren B.
1 Glasscock, Daniel
1 Gómez Ruiz, Carlos Alexis
1 Gong, Weiming
1 Göral, Haydar
1 Götze, Friedrich W.
1 Green, Ben Joseph
1 Gross, Gal
1 Gugg, Chadwick
...and 87 more Authors
all top 5

Cited in 68 Serials

15 Journal of Number Theory
9 International Journal of Number Theory
7 Discrete Mathematics
7 Journal of Combinatorial Theory. Series A
4 Israel Journal of Mathematics
4 Functiones et Approximatio. Commentarii Mathematici
4 Monatshefte für Mathematik
4 Transactions of the American Mathematical Society
3 Bulletin of the Australian Mathematical Society
3 Periodica Mathematica Hungarica
3 Archiv der Mathematik
3 Acta Mathematica Hungarica
3 Designs, Codes and Cryptography
3 Indagationes Mathematicae. New Series
3 Journal de Théorie des Nombres de Bordeaux
3 Integers
2 Acta Arithmetica
2 Canadian Mathematical Bulletin
2 Duke Mathematical Journal
2 Mathematika
2 Proceedings of the American Mathematical Society
2 European Journal of Combinatorics
2 SIAM Journal on Discrete Mathematics
2 Geometric and Functional Analysis. GAFA
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Finite Fields and their Applications
2 The Electronic Journal of Combinatorics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 American Mathematical Monthly
1 Journal of Mathematical Analysis and Applications
1 Mathematical Notes
1 Mathematische Semesterberichte
1 Rocky Mountain Journal of Mathematics
1 Advances in Mathematics
1 Compositio Mathematica
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Economic Theory
1 Journal für die Reine und Angewandte Mathematik
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Quaestiones Mathematicae
1 Revista de la Unión Matemática Argentina
1 Synthese
1 Combinatorica
1 Algorithmica
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Expositiones Mathematicae
1 Electronic Journal of Probability
1 Doklady Mathematics
1 The Ramanujan Journal
1 Journal of Inequalities and Applications
1 Revista Matemática Complutense
1 Journal of Integer Sequences
1 Annals of Mathematics. Second Series
1 Journal of the Australian Mathematical Society
1 Chebyshevskiĭ Sbornik
1 The College Mathematics Journal
1 European Journal of Pure and Applied Mathematics
1 Science China. Mathematics
1 Afrika Matematika
1 Forum of Mathematics, Sigma
1 Open Mathematics
1 Journal de l’École Polytechnique – Mathématiques
1 Research in Number Theory

Citations by Year