## Bary-Soroker, Lior

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 Author ID: bary-soroker.lior Published as: Bary-Soroker, Lior; Bary-Soroker, L. External Links: MGP
 Documents Indexed: 39 Publications since 2006 3 Contributions as Editor · 1 Further Contribution Reviewing Activity: 8 Reviews Co-Authors: 31 Co-Authors with 35 Joint Publications 366 Co-Co-Authors
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### Co-Authors

 8 single-authored 6 Fehm, Arno 4 Jarden, Moshe 3 Bank, Efrat 3 Wiese, Gabor 2 Andrade, Julio Cesar 2 Arias-de-Reyna, Sara 2 Gorodetsky, Ofir 2 Harbater, David 2 Kozma, Gady 2 Paran, Elad 2 Pop, Florian 2 Rudnick, Zeév 2 Stix, Jakob 1 Achter, Jeff 1 Andreatta, Fabrizio 1 Ben Porath, Or 1 Bhatt, Bhargav 1 Cassou-Noguès, Philippe 1 Chai, Chingli 1 Chinburg, Ted 1 Conrad, Brian 1 Esnault, Hélène 1 Geyer, Wulf-Dieter 1 Gross, Benedict Hyman 1 Haran, Dan 1 Harashita, Shushi 1 Karidi, Taelin 1 Katsura, Toshiyuki 1 Kelmer, Dubi 1 Kumar, Manish 1 Legrand, François 1 Meisner, Patrick 1 Morin, Baptiste 1 Neftin, Danny 1 Nguyêñ Duy Tân 1 Oort, Frans 1 Petersen, Sebastian 1 Pries, Rachel J. 1 Rosenzweig, Lior 1 Sawin, William F. 1 Schlank, Tomer M. 1 Shiho, Atsushi 1 Smilansky, Yotam 1 Stevenson, Katherine F. 1 Taylor, Martin J. 1 Wolf, Adva 1 Zalesskii, Pavel 1 Zieve, Michael E.
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### Serials

 3 Journal of Algebra 3 IMRN. International Mathematics Research Notices 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Mathematische Annalen 2 Travaux Mathématiques 1 American Mathematical Monthly 1 Communications in Algebra 1 Acta Arithmetica 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Mathematika 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Journal de Théorie des Nombres de Bordeaux 1 Finite Fields and their Applications 1 The New York Journal of Mathematics 1 Mathematical Research Letters 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 International Journal of Number Theory 1 Münster Journal of Mathematics 1 Philosophical Transactions A. Royal Society of London 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Fields

 27 Field theory and polynomials (12-XX) 26 Number theory (11-XX) 8 Group theory and generalizations (20-XX) 7 Algebraic geometry (14-XX) 4 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX)

### Citations contained in zbMATH Open

33 Publications have been cited 161 times in 101 Documents Cited by Year
Shifted convolution and the Titchmarsh divisor problem over $$\mathbb F_q[t]$$. Zbl 1393.11061
Andrade, J. C.; Bary-Soroker, L.; Rudnick, Z.
2015
Prime polynomials in short intervals and in arithmetic progressions. Zbl 1395.11132
Bank, Efrat; Bary-Soroker, Lior; Rosenzweig, Lior
2015
Irreducible values of polynomials. Zbl 1271.11114
Bary-Soroker, Lior
2012
Dirichlet’s theorem for polynomial rings. Zbl 1259.12002
Bary-Soroker, Lior
2009
Permanence criteria for semi-free profinite groups. Zbl 1256.20028
Bary-Soroker, Lior; Haran, Dan; Harbater, David
2010
On the function field analogue of Landau’s theorem on sums of squares. Zbl 1347.11085
Bary-Soroker, Lior; Smilansky, Yotam; Wolf, Adva
2016
Hardy-Littlewood tuple conjecture over large finite fields. Zbl 1296.11165
Bary-Soroker, Lior
2014
On fields of totally $$\mathfrak S$$-adic numbers – with an appendix by Florian Pop. Zbl 1392.11090
Bary-Soroker, Lior; Fehm, Arno
2014
On pseudo algebraically closed extensions of fields. Zbl 1213.12006
Bary-Soroker, Lior
2009
PAC fields over finitely generated fields. Zbl 1146.12002
Bary-Soroker, Lior; Jarden, Moshe
2008
Diamond theorem for a finitely generated free profinite group. Zbl 1111.20029
Bary-Soroker, Lior
2006
Prime polynomial values of linear functions in short intervals. Zbl 1318.11150
Bank, Efrat; Bary-Soroker, Lior
2015
Sums of two squares in short intervals in polynomial rings over finite fields. Zbl 1416.11168
Bank, Efrat; Bary-Soroker, Lior; Fehm, Arno
2018
On PAC extensions and scaled trace forms. Zbl 1251.11020
Bary-Soroker, Lior; Kelmer, Dubi
2010
Hilbertian fields and Galois representations. Zbl 1410.12008
Bary-Soroker, Lior; Fehm, Arno; Wiese, Gabor
2016
On varieties of Hilbert type. (Sur les variétés ayant la propriété de Hilbert.) Zbl 1359.12001
Bary-Soroker, Lior; Fehm, Arno; Petersen, Sebastian
2014
Random Galois extensions of Hilbertian fields. Zbl 1387.12002
Bary-Soroker, Lior; Fehm, Arno
2013
The Sylow subgroups of the absolute Galois group $$\mathrm{Gal}(\mathbb{Q})$$. Zbl 1334.12003
Bary-Soroker, Lior; Jarden, Moshe; Neftin, Danny
2015
Irreducible polynomials of bounded height. Zbl 1447.11112
2020
On the characterization of Hilbertian fields. Zbl 1217.12003
Bary-Soroker, Lior
2008
Is a bivariate polynomial with $$\pm 1$$ coefficients irreducible? Very likely! Zbl 1388.11008
2017
Fully Hilbertian fields. Zbl 1298.12002
2013
On $$p$$-embedding problems in characteristic $$p$$. Zbl 1221.12010
Bary-Soroker, Lior; Nguyêñ Duy Tân
2011
Subgroups of profinite surface groups. Zbl 1252.20030
Bary-Soroker, Lior; Stevenson, Katherine F.; Zalesskii, Pavel A.
2011
Sieves and the minimal ramification problem. Zbl 1461.11151
Bary-Soroker, Lior; Schlank, Tomer M.
2020
On the Bateman-Horn conjecture about polynomial rings. Zbl 1282.11121
Bary-Soroker, Lior; Jarden, Moshe
2012
Correction to ‘Shifted convolution and the Titchmarsh divisor problem over $$\mathbb F_q[t]$$’. Zbl 1353.11100
Andrade, J. C.; Bary-Soroker, L.; Rudnick, Z.
2016
Subgroup structure of fundamental groups in positive characteristic. Zbl 1276.14044
Bary-Soroker, Lior; Kumar, Manish
2013
Cubic twin prime polynomials are counted by a modular form. Zbl 1460.11146
Bary-Soroker, Lior; Stix, Jakob
2019
Chebotarev density theorem in short intervals for extensions of $$\mathbb{F}_q(T)$$. Zbl 1460.11145
Bary-Soroker, Lior; Gorodetsky, Ofir; Karidi, Taelin; Sawin, Will
2020
Roots of polynomials and the derangement problem. Zbl 1401.60013
Bary-Soroker, Lior; Gorodetsky, Ofir
2018
Correlations of sums of two squares and other arithmetic functions in function fields. Zbl 1468.11198
Bary-Soroker, Lior; Fehm, Arno
2019
On the distribution of the rational points on cyclic covers in the absence of roots of unity. Zbl 1481.11065
Bary-Soroker, Lior; Meisner, Patrick
2019
Irreducible polynomials of bounded height. Zbl 1447.11112
2020
Sieves and the minimal ramification problem. Zbl 1461.11151
Bary-Soroker, Lior; Schlank, Tomer M.
2020
Chebotarev density theorem in short intervals for extensions of $$\mathbb{F}_q(T)$$. Zbl 1460.11145
Bary-Soroker, Lior; Gorodetsky, Ofir; Karidi, Taelin; Sawin, Will
2020
Cubic twin prime polynomials are counted by a modular form. Zbl 1460.11146
Bary-Soroker, Lior; Stix, Jakob
2019
Correlations of sums of two squares and other arithmetic functions in function fields. Zbl 1468.11198
Bary-Soroker, Lior; Fehm, Arno
2019
On the distribution of the rational points on cyclic covers in the absence of roots of unity. Zbl 1481.11065
Bary-Soroker, Lior; Meisner, Patrick
2019
Sums of two squares in short intervals in polynomial rings over finite fields. Zbl 1416.11168
Bank, Efrat; Bary-Soroker, Lior; Fehm, Arno
2018
Roots of polynomials and the derangement problem. Zbl 1401.60013
Bary-Soroker, Lior; Gorodetsky, Ofir
2018
Is a bivariate polynomial with $$\pm 1$$ coefficients irreducible? Very likely! Zbl 1388.11008
2017
On the function field analogue of Landau’s theorem on sums of squares. Zbl 1347.11085
Bary-Soroker, Lior; Smilansky, Yotam; Wolf, Adva
2016
Hilbertian fields and Galois representations. Zbl 1410.12008
Bary-Soroker, Lior; Fehm, Arno; Wiese, Gabor
2016
Correction to ‘Shifted convolution and the Titchmarsh divisor problem over $$\mathbb F_q[t]$$’. Zbl 1353.11100
Andrade, J. C.; Bary-Soroker, L.; Rudnick, Z.
2016
Shifted convolution and the Titchmarsh divisor problem over $$\mathbb F_q[t]$$. Zbl 1393.11061
Andrade, J. C.; Bary-Soroker, L.; Rudnick, Z.
2015
Prime polynomials in short intervals and in arithmetic progressions. Zbl 1395.11132
Bank, Efrat; Bary-Soroker, Lior; Rosenzweig, Lior
2015
Prime polynomial values of linear functions in short intervals. Zbl 1318.11150
Bank, Efrat; Bary-Soroker, Lior
2015
The Sylow subgroups of the absolute Galois group $$\mathrm{Gal}(\mathbb{Q})$$. Zbl 1334.12003
Bary-Soroker, Lior; Jarden, Moshe; Neftin, Danny
2015
Hardy-Littlewood tuple conjecture over large finite fields. Zbl 1296.11165
Bary-Soroker, Lior
2014
On fields of totally $$\mathfrak S$$-adic numbers – with an appendix by Florian Pop. Zbl 1392.11090
Bary-Soroker, Lior; Fehm, Arno
2014
On varieties of Hilbert type. (Sur les variétés ayant la propriété de Hilbert.) Zbl 1359.12001
Bary-Soroker, Lior; Fehm, Arno; Petersen, Sebastian
2014
Random Galois extensions of Hilbertian fields. Zbl 1387.12002
Bary-Soroker, Lior; Fehm, Arno
2013
Fully Hilbertian fields. Zbl 1298.12002
2013
Subgroup structure of fundamental groups in positive characteristic. Zbl 1276.14044
Bary-Soroker, Lior; Kumar, Manish
2013
Irreducible values of polynomials. Zbl 1271.11114
Bary-Soroker, Lior
2012
On the Bateman-Horn conjecture about polynomial rings. Zbl 1282.11121
Bary-Soroker, Lior; Jarden, Moshe
2012
On $$p$$-embedding problems in characteristic $$p$$. Zbl 1221.12010
Bary-Soroker, Lior; Nguyêñ Duy Tân
2011
Subgroups of profinite surface groups. Zbl 1252.20030
Bary-Soroker, Lior; Stevenson, Katherine F.; Zalesskii, Pavel A.
2011
Permanence criteria for semi-free profinite groups. Zbl 1256.20028
Bary-Soroker, Lior; Haran, Dan; Harbater, David
2010
On PAC extensions and scaled trace forms. Zbl 1251.11020
Bary-Soroker, Lior; Kelmer, Dubi
2010
Dirichlet’s theorem for polynomial rings. Zbl 1259.12002
Bary-Soroker, Lior
2009
On pseudo algebraically closed extensions of fields. Zbl 1213.12006
Bary-Soroker, Lior
2009
PAC fields over finitely generated fields. Zbl 1146.12002
Bary-Soroker, Lior; Jarden, Moshe
2008
On the characterization of Hilbertian fields. Zbl 1217.12003
Bary-Soroker, Lior
2008
Diamond theorem for a finitely generated free profinite group. Zbl 1111.20029
Bary-Soroker, Lior
2006
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### Cited by 118 Authors

 18 Bary-Soroker, Lior 8 Gorodetsky, Ofir 6 Dèbes, Pierre 6 Legrand, François 5 Paran, Elad 5 Shusterman, Mark 4 Fehm, Arno 4 Jarden, Moshe 4 König, Joachim 4 Rodgers, Brad 3 Bank, Efrat 3 Haran, Dan 3 Nguyêñ Duy Tân 3 Rudnick, Zeév 3 Sawin, William F. 3 Zalesskii, Pavel 2 Andrade, Julio Cesar 2 Entin, Alexei 2 Keating, Jonathan Peter 2 Kumar, Manish 2 Lalín, Matilde Noemí 2 Neftin, Danny 2 Razon, Aharon 2 Rosenzweig, Lior 2 Shamesaldeen, Asmaa 2 Stix, Jakob 2 Wood, Philip Matchett 1 Alon, Gil 1 Anscombe, Sylvy 1 Behajaina, Angelot 1 Ben Porath, Or 1 Bodin, Arnaud 1 Bonciocat, Anca Iuliana 1 Bonciocat, Nicolae Ciprian 1 Borst, Christian 1 Boyd, Evan 1 Brekken, Claire 1 Bugeaud, Yann 1 Burrin, Claire 1 Carmon, Dan 1 Checcoli, Sara 1 Chuang, Chih-Yun 1 Cipu, Mihai 1 Collas, Benjamin 1 Corvaja, Pietro 1 David, Chantal 1 Demeio, Julian Lawrence 1 Deschamps, Bruno 1 Drappeau, Sary 1 Efrat, Ido 1 Elboim, Dor 1 Florea, Alexandra M. 1 Foster, Tyler 1 Fried, Sela 1 Gallet, Matteo 1 Ginzburg, Matan 1 Grochow, Joshua A. 1 Harbater, David 1 Hill, Sally L. 1 Hochfilzer, Leonhard 1 Huxley, Martin N. 1 Issac, Matthew 1 Javanpeykar, Ariyan 1 Karidi, Taelin 1 Kelley, Zander 1 Kelmer, Dubi 1 Kim, Kwang-Seob 1 Kosters, Michiel 1 Kozma, Gady 1 Kuan, Yen-Liang 1 Kuperberg, Vivian 1 Kurlberg, Pär 1 Lettington, Matthew C. 1 Liu, Fenjin 1 MacQuarrie, John William 1 Makhul, Mehdi 1 Marko, František 1 Matei, Vlad 1 Matera, Guillermo 1 Meisner, Patrick 1 Mináč, Ján 1 Najib, Salah 1 Narayanan, Anand Kumar 1 Nguyen Ngoc Dong Quan 1 Nica, Bogdan 1 Oppenheim, Amotz 1 O’Rourke, Sean D. 1 Owen, Sean W. 1 Pacheco, Amílcar 1 Pérez, Mariana 1 Poonen, Bjorn 1 Pop, Florian 1 Porubsky, Stefan 1 Privitelli, Melina 1 Quadrelli, Claudio 1 Roditty-Gershon, Edva 1 Schicho, Josef 1 Schmidt, Karl Michael 1 Schultz, Andrew 1 Shin, Gicheol ...and 18 more Authors
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### Cited in 47 Serials

 10 Journal of Algebra 6 Israel Journal of Mathematics 6 Journal of Number Theory 6 Transactions of the American Mathematical Society 6 Finite Fields and their Applications 5 Journal of Pure and Applied Algebra 5 Mathematische Annalen 3 Acta Arithmetica 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Mathematische Zeitschrift 3 Journal of Algebraic Combinatorics 2 Functiones et Approximatio. Commentarii Mathematici 2 Mathematika 2 Proceedings of the American Mathematical Society 2 Journal de Théorie des Nombres de Bordeaux 2 International Journal of Number Theory 2 Algebra & Number Theory 2 Philosophical Transactions A. Royal Society of London 1 American Mathematical Monthly 1 Communications in Algebra 1 Rocky Mountain Journal of Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Nagoya Mathematical Journal 1 Quaestiones Mathematicae 1 Journal of Symbolic Computation 1 Journal of Theoretical Probability 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 The Ramanujan Journal 1 Taiwanese Journal of Mathematics 1 Journal of Group Theory 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Forum of Mathematics, Sigma 1 Research in the Mathematical Sciences
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### Cited in 20 Fields

 65 Number theory (11-XX) 44 Field theory and polynomials (12-XX) 17 Algebraic geometry (14-XX) 15 Group theory and generalizations (20-XX) 7 Combinatorics (05-XX) 5 Commutative algebra (13-XX) 3 Probability theory and stochastic processes (60-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX)