Edit Profile (opens in new tab) Baier, Stephan Co-Author Distance Author ID: baier.stephan Published as: Baier, Stephan; Baier, S. Homepage: http://maths.rkmvu.ac.in/faculty/ External Links: MGP Documents Indexed: 87 Publications since 2000, including 1 Book and 18 Additional arXiv Preprints Reviewing Activity: 69 Reviews Co-Authors: 45 Co-Authors with 56 Joint Publications 454 Co-Co-Authors all top 5 Co-Authors 31 single-authored 13 Zhao, Liangyi 6 Singh, Rajneesh Kumar 4 Bansal, Arpit 4 Molla, Esrafil Ali 3 Browning, Timothy Daniel 3 Ghosh, Anish 3 Haldar, Anup 2 Bhandari, Arkaprava 2 Lynch, Sean B. 2 Mazumder, Dwaipayan 2 Prabhu, Neha 2 Pujahari, Sudhir 2 Technau, Marc 1 Adhikari, Sukumar Das 1 Aikawa, K. 1 Bag, Nilanjan 1 Baranov, M. A. 1 Chomaz, L. 1 Das, Sourav 1 Das, Swarup Kumar 1 Derenthal, Ulrich 1 Dey, Pallab Kanti 1 Ferlaino, F. 1 Ganguly, Arijit 1 Ganguly, with an appendix by Arijit 1 Jaidee, Sawian 1 Jones, Nathan A. 1 Lamzin, Sergey 1 Marasingha, Gihan 1 Mark, M. J. 1 Miemietz, Vanessa 1 Mukherjee, Saayan 1 Oueslati-Boulahia, S. 1 Patankar, Vijay M. 1 Petter, D. 1 Rath, Purusottam 1 Roy, Sayantan 1 Sangale, Usha Keshav 1 Serhrouchni, Ahmed 1 Sinha, Kaneenika 1 Srinivas, Kotyada 1 Stevens, Shaun 1 Tohmé, Samir 1 Ward, Thomas B. 1 Young, Matthew P. 1 Zoller, Peter all top 5 Serials 9 Acta Arithmetica 8 Journal of Number Theory 6 International Journal of Number Theory 4 Acta Mathematica Hungarica 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of the Ramanujan Mathematical Society 2 Monatshefte für Mathematik 2 Journal de Théorie des Nombres de Bordeaux 2 The Quarterly Journal of Mathematics 2 Research in Number Theory 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 Archiv der Mathematik 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Mathematika 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Finite Fields and their Applications 1 The Ramanujan Journal 1 Analysis (München) 1 Integers 1 JP Journal of Algebra, Number Theory and Applications 1 Science 1 Uniform Distribution Theory 1 European Journal of Mathematics all top 5 Fields 81 Number theory (11-XX) 2 Algebraic geometry (14-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 243 times in 155 Documents Cited by ▼ Year ▼ Mean values with cubic characters. Zbl 1204.11135 Baier, Stephan; Young, Matthew P. 28 2010 An improvement for the large sieve for square moduli. Zbl 1225.11121 Baier, Stephan; Zhao, Liangyi 21 2008 The Lang-Trotter conjecture on average. Zbl 1140.11027 Baier, Stephan 16 2007 On the large sieve with sparse sets of moduli. Zbl 1152.11041 Baier, Stephan 12 2006 Bombieri-Vinogradov type theorems for sparse sets of moduli. Zbl 1149.11045 Baier, Stephan; Zhao, Liangyi 12 2006 The Sato-Tate conjecture on average for small angles. Zbl 1246.11115 Baier, Stephan; Zhao, Liangyi 12 2009 Large sieve inequality with characters for powerful moduli. Zbl 1083.11060 Baier, Stephan; Zhao, Liangyi 11 2005 Primes in quadratic progressions on average. Zbl 1136.11059 Baier, Stephan; Zhao, Liangyi 8 2007 Averages of shifted convolutions of \(d_3(n)\). Zbl 1264.11083 Baier, S.; Browning, T. D.; Marasingha, G.; Zhao, L. 8 2012 On primes in quadratic progressions. Zbl 1221.11197 Baier, Stephan; Zhao, Liangyi 7 2009 Large sieve inequality with power moduli for function fields. Zbl 1448.11161 Baier, Stephan; Singh, Rajneesh Kumar 7 2019 Extended Bose-Hubbard models with ultracold magnetic atoms. Zbl 1355.81173 Baier, S.; Mark, M. J.; Petter, D.; Aikawa, K.; Chomaz, L.; Cai, Z.; Baranov, M.; Zoller, P.; Ferlaino, F. 6 2016 On the distribution of \(\alpha p\) modulo one in imaginary quadratic number fields with class number one. Zbl 1459.11148 Baier, Stephan; Technau, Marc 6 2020 Diophantine approximation with prime restriction in real quadratic number fields. Zbl 1484.11155 Baier, Stephan; Mazumder, Dwaipayan 6 2021 A remark on the least \(n\) with \(\chi(n) \not= 1\). Zbl 1084.11050 Baier, Stephan 5 2006 A refined version of the Lang-Trotter conjecture. Zbl 1188.11027 Baier, Stephan; Jones, Nathan 5 2009 On the low-lying zeros of Hasse-Weil \(L\)-functions for elliptic curves. Zbl 1223.11078 Baier, Stephan; Zhao, Liangyi 5 2008 Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Zbl 1295.11058 Baier, Stephan; Browning, Tim D. 5 2013 Diophantine approximation on lines with prime constraints. Zbl 1387.11060 Baier, Stephan; Ghosh, Anish 4 2015 A remark on the Lang-Trotter conjecture. Zbl 1250.11056 Baier, Stephan 4 2009 The large sieve with power moduli for \(\mathbb{Z}[i]\). Zbl 1446.11152 Baier, Stephan; Bansal, Arpit 4 2018 Restricted simultaneous Diophantine approximation. Zbl 1369.11058 Baier, Stephan; Ghosh, Anish 3 2017 On Hecke eigenvalues at Piatetski-Shapiro primes. Zbl 1219.11067 Baier, Stephan; Zhao, Liangyi 3 2010 On the \(p^{\lambda}\) problem. Zbl 1122.11045 Baier, Stephan 3 2004 Large sieve with sparse sets of moduli for \(\mathbb{Z}[i]\). Zbl 1461.11113 Baier, Stephan; Bansal, Arpit 3 2020 On the distribution of \(\alpha p\) modulo one in quadratic number fields. Zbl 1491.11069 Baier, Stephan; Mazumder, Dwaipayan; Technau, Marc 3 2021 A lower bound for the large sieve with square moduli. Zbl 1457.11130 Baier, Stephan; Lynch, Sean B.; Zhao, Liangyi 3 2019 Moments of the error term in the Sato-Tate law for elliptic curves. Zbl 1450.11051 Baier, Stephan; Prabhu, Neha 3 2019 On the least \(n\) with \(\chi(n)\neq 1\). Zbl 1170.11318 Baier, Stephan 2 2006 A note on the gaps between zeros of Epstein’s zeta-functions on the critical line. Zbl 1426.11030 Baier, Stephan; Kotyada, Srinivas; Sangale, Usha Keshav 2 2017 The large sieve with quadratic amplitude. Zbl 1196.11131 Baier, Stephan 2 2006 The large sieve with square moduli in function fields. Zbl 1490.11083 Baier, Stephan; Singh, Rajneesh Kumar 2 2022 Erratum to: “Large sieve inequality with power moduli for function field”. Zbl 1448.11162 Baier, Stephan; Singh, Rajneesh Kumar 2 2020 Automorphisms with exotic orbit growth. Zbl 1291.37031 Baier, Stephan; Jaidee, Sawian; Stevens, Shaun; Ward, Thomas 2 2013 Inhomogeneous quadratic congruences. Zbl 1351.11063 Baier, S.; Browning, T. D. 2 2012 The large sieve with square norm moduli in \(\mathbb Z[i]\). Zbl 1408.11079 Baier, Stephan 2 2018 Almost-all results on the \(p^\lambda\) problem. II. Zbl 1121.11062 Baier, S. 1 2006 An extension of the Piatetski-Shapiro prime number theroem. Zbl 1081.11062 Baier, Stephan 1 2005 On primes represented by quadratic polynomials. Zbl 1186.11059 Baier, Stephan; Zhao, Liangyi 1 2008 On the Bateman-Horn conjecture. Zbl 1040.11067 Baier, Stephan 1 2002 A note on \(\mathcal P\)-sets. Zbl 1118.11014 Baier, Stephan 1 2004 Almost-all results on the \(p^\lambda\) problem. Zbl 1089.11051 Baier, S. 1 2005 Quadratic congruences on average and rational points on cubic surfaces. Zbl 1394.11029 Baier, Stephan; Derenthal, Ulrich 1 2015 Diophantine approximation on lines in \(\mathbb {C}^2\) with Gaussian prime constraints. Zbl 1432.11094 Baier, Stephan 1 2017 Elliptic curves with square-free \(\Delta\). Zbl 1337.11036 Baier, Stephan 1 2016 Applications of the square sieve to a conjecture of Lang and Trotter for a pair of elliptic curves over the rationals. Zbl 1475.11170 Baier, S.; Patankar, Vijay M. 1 2018 The large sieve inequality with square moduli for quadratic extensions of function fields. Zbl 1465.11173 Baier, Stephan; Kumar Singh, Rajneesh 1 2020 Diophantine approximation with prime restriction in function fields (with an appendix by Arijit Ganguly). Zbl 1501.11075 Baier, Stephan; Molla, Esrafil Ali 1 2022 Multiplicative inverses in short intervals. Zbl 1345.11069 Baier, S. 1 2013 Divisibility problems for function fields. Zbl 1424.11064 Baier, S.; Bansal, A.; Singh, R. Kumar 1 2018 The large sieve with square moduli in function fields. Zbl 1490.11083 Baier, Stephan; Singh, Rajneesh Kumar 2 2022 Diophantine approximation with prime restriction in function fields (with an appendix by Arijit Ganguly). Zbl 1501.11075 Baier, Stephan; Molla, Esrafil Ali 1 2022 Diophantine approximation with prime restriction in real quadratic number fields. Zbl 1484.11155 Baier, Stephan; Mazumder, Dwaipayan 6 2021 On the distribution of \(\alpha p\) modulo one in quadratic number fields. Zbl 1491.11069 Baier, Stephan; Mazumder, Dwaipayan; Technau, Marc 3 2021 On the distribution of \(\alpha p\) modulo one in imaginary quadratic number fields with class number one. Zbl 1459.11148 Baier, Stephan; Technau, Marc 6 2020 Large sieve with sparse sets of moduli for \(\mathbb{Z}[i]\). Zbl 1461.11113 Baier, Stephan; Bansal, Arpit 3 2020 Erratum to: “Large sieve inequality with power moduli for function field”. Zbl 1448.11162 Baier, Stephan; Singh, Rajneesh Kumar 2 2020 The large sieve inequality with square moduli for quadratic extensions of function fields. Zbl 1465.11173 Baier, Stephan; Kumar Singh, Rajneesh 1 2020 Large sieve inequality with power moduli for function fields. Zbl 1448.11161 Baier, Stephan; Singh, Rajneesh Kumar 7 2019 A lower bound for the large sieve with square moduli. Zbl 1457.11130 Baier, Stephan; Lynch, Sean B.; Zhao, Liangyi 3 2019 Moments of the error term in the Sato-Tate law for elliptic curves. Zbl 1450.11051 Baier, Stephan; Prabhu, Neha 3 2019 The large sieve with power moduli for \(\mathbb{Z}[i]\). Zbl 1446.11152 Baier, Stephan; Bansal, Arpit 4 2018 The large sieve with square norm moduli in \(\mathbb Z[i]\). Zbl 1408.11079 Baier, Stephan 2 2018 Applications of the square sieve to a conjecture of Lang and Trotter for a pair of elliptic curves over the rationals. Zbl 1475.11170 Baier, S.; Patankar, Vijay M. 1 2018 Divisibility problems for function fields. Zbl 1424.11064 Baier, S.; Bansal, A.; Singh, R. Kumar 1 2018 Restricted simultaneous Diophantine approximation. Zbl 1369.11058 Baier, Stephan; Ghosh, Anish 3 2017 A note on the gaps between zeros of Epstein’s zeta-functions on the critical line. Zbl 1426.11030 Baier, Stephan; Kotyada, Srinivas; Sangale, Usha Keshav 2 2017 Diophantine approximation on lines in \(\mathbb {C}^2\) with Gaussian prime constraints. Zbl 1432.11094 Baier, Stephan 1 2017 Extended Bose-Hubbard models with ultracold magnetic atoms. Zbl 1355.81173 Baier, S.; Mark, M. J.; Petter, D.; Aikawa, K.; Chomaz, L.; Cai, Z.; Baranov, M.; Zoller, P.; Ferlaino, F. 6 2016 Elliptic curves with square-free \(\Delta\). Zbl 1337.11036 Baier, Stephan 1 2016 Diophantine approximation on lines with prime constraints. Zbl 1387.11060 Baier, Stephan; Ghosh, Anish 4 2015 Quadratic congruences on average and rational points on cubic surfaces. Zbl 1394.11029 Baier, Stephan; Derenthal, Ulrich 1 2015 Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Zbl 1295.11058 Baier, Stephan; Browning, Tim D. 5 2013 Automorphisms with exotic orbit growth. Zbl 1291.37031 Baier, Stephan; Jaidee, Sawian; Stevens, Shaun; Ward, Thomas 2 2013 Multiplicative inverses in short intervals. Zbl 1345.11069 Baier, S. 1 2013 Averages of shifted convolutions of \(d_3(n)\). Zbl 1264.11083 Baier, S.; Browning, T. D.; Marasingha, G.; Zhao, L. 8 2012 Inhomogeneous quadratic congruences. Zbl 1351.11063 Baier, S.; Browning, T. D. 2 2012 Mean values with cubic characters. Zbl 1204.11135 Baier, Stephan; Young, Matthew P. 28 2010 On Hecke eigenvalues at Piatetski-Shapiro primes. Zbl 1219.11067 Baier, Stephan; Zhao, Liangyi 3 2010 The Sato-Tate conjecture on average for small angles. Zbl 1246.11115 Baier, Stephan; Zhao, Liangyi 12 2009 On primes in quadratic progressions. Zbl 1221.11197 Baier, Stephan; Zhao, Liangyi 7 2009 A refined version of the Lang-Trotter conjecture. Zbl 1188.11027 Baier, Stephan; Jones, Nathan 5 2009 A remark on the Lang-Trotter conjecture. Zbl 1250.11056 Baier, Stephan 4 2009 An improvement for the large sieve for square moduli. Zbl 1225.11121 Baier, Stephan; Zhao, Liangyi 21 2008 On the low-lying zeros of Hasse-Weil \(L\)-functions for elliptic curves. Zbl 1223.11078 Baier, Stephan; Zhao, Liangyi 5 2008 On primes represented by quadratic polynomials. Zbl 1186.11059 Baier, Stephan; Zhao, Liangyi 1 2008 The Lang-Trotter conjecture on average. Zbl 1140.11027 Baier, Stephan 16 2007 Primes in quadratic progressions on average. Zbl 1136.11059 Baier, Stephan; Zhao, Liangyi 8 2007 On the large sieve with sparse sets of moduli. Zbl 1152.11041 Baier, Stephan 12 2006 Bombieri-Vinogradov type theorems for sparse sets of moduli. Zbl 1149.11045 Baier, Stephan; Zhao, Liangyi 12 2006 A remark on the least \(n\) with \(\chi(n) \not= 1\). Zbl 1084.11050 Baier, Stephan 5 2006 On the least \(n\) with \(\chi(n)\neq 1\). Zbl 1170.11318 Baier, Stephan 2 2006 The large sieve with quadratic amplitude. Zbl 1196.11131 Baier, Stephan 2 2006 Almost-all results on the \(p^\lambda\) problem. II. Zbl 1121.11062 Baier, S. 1 2006 Large sieve inequality with characters for powerful moduli. Zbl 1083.11060 Baier, Stephan; Zhao, Liangyi 11 2005 An extension of the Piatetski-Shapiro prime number theroem. Zbl 1081.11062 Baier, Stephan 1 2005 Almost-all results on the \(p^\lambda\) problem. Zbl 1089.11051 Baier, S. 1 2005 On the \(p^{\lambda}\) problem. Zbl 1122.11045 Baier, Stephan 3 2004 A note on \(\mathcal P\)-sets. Zbl 1118.11014 Baier, Stephan 1 2004 On the Bateman-Horn conjecture. Zbl 1040.11067 Baier, Stephan 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 159 Authors 28 Baier, Stephan 22 Zhao, Liangyi 17 Shparlinski, Igor E. 13 Gao, Peng 5 Bansal, Arpit 5 Prabhu, Neha 5 Singh, Rajneesh Kumar 4 David, Chantal 4 Halupczok, Karin 4 Pomykała, Jacek M. 3 Cojocaru, Alina Carmen 3 Dąbrowski, Andrzej Bogdan 3 Lalín, Matilde Noemí 3 Munsch, Marc 3 Murty, Maruti Ram 3 Sha, Min 2 Akbary, Amir 2 Banks, William David 2 Bauer, Claus 2 Cho, Peter Jaehyun 2 Corrigan, Chandler C. 2 Florea, Alexandra M. 2 Ghosh, Anish 2 Giberson, Luke 2 James, Kevin 2 Jones, Nathan A. 2 Lou, Miao 2 Mazumder, Dwaipayan 2 Milinovich, Micah B. 2 Molla, Esrafil Ali 2 Park, Jeongho 2 Ward, Thomas B. 2 Wu, Jie 2 Yao, Weili 2 Zaharescu, Alexandru 2 Zhai, Wenguang 1 Acevedo Agudelo, Yeisson Alexis 1 Agwu, Anthony 1 Alkan, Emre 1 Bagshaw, Christian 1 Baker, Roger C. 1 Balestrieri, Francesca 1 Basak, Debmalya 1 Basu, Saurabh 1 Bell, Jason P. 1 Berg, Jennifer 1 Bourgain, Jean 1 Browning, Timothy Daniel 1 Bui, Hung Manh 1 Cao, Xiaodong 1 Carneiro, Emanuel 1 Chirre, Andrés 1 Coppola, Giovanni 1 de la Bretèche, Régis 1 Derenthal, Ulrich 1 Dey, Sampa 1 Dunn, Alexander 1 Elsholtz, Christian 1 Exl, Lukas 1 Felix, Adam Tyler 1 Feng, Shiping 1 Foo, Timothy 1 Ford, Kevin B. 1 Freiberg, Tristan 1 Gagliardi, Giuliano 1 Ganguly, Arijit 1 Gao, Pheng 1 Garaev, Moubariz Z. 1 Güloğlu, Ahmet Muhtar 1 Haldar, Anup 1 Han, Changho 1 Harris, Phillip 1 Ivić, Aleksandar 1 Kannan, Siddarth 1 Katz, Nicholas Michael 1 Kim, Jiseong 1 Klys, Jack 1 Konyagin, Sergeĭ Vladimirovich 1 Koukoulopoulos, Dimitris 1 Kumaraswamy, V. Vinay 1 Lamzouri, Youness 1 Langen, Tim 1 Laporta, Maurizio B. S. 1 Lau, Yuk-Kam 1 Le Boudec, Pierre 1 Li, Huixi 1 Lin, Hua 1 Lu, Guangshi 1 Lynch, Sean B. 1 Malik, Amita 1 Matomäki, Kaisa 1 Mauser, Norbert Julius 1 Meisner, Patrick 1 Mennemann, Jan-Frederik 1 Merikoski, Jori 1 Miles, Richard B. 1 Miller, Steven J. 1 Nabi, Sk Noor 1 Nakamura, Takashi 1 Nam, Jungbae ...and 59 more Authors all top 5 Cited in 55 Serials 21 Journal of Number Theory 15 International Journal of Number Theory 10 Acta Arithmetica 6 Mathematische Zeitschrift 6 Mathematika 4 Journal of Mathematical Analysis and Applications 4 Functiones et Approximatio. Commentarii Mathematici 4 Mathematische Annalen 4 Monatshefte für Mathematik 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 The Ramanujan Journal 3 Bulletin of the Australian Mathematical Society 3 Advances in Mathematics 3 Indagationes Mathematicae. New Series 3 Experimental Mathematics 3 Finite Fields and their Applications 3 Acta Mathematica Sinica. English Series 3 Research in Number Theory 2 Canadian Journal of Mathematics 2 Michigan Mathematical Journal 2 Forum Mathematicum 2 Journal of the Ramanujan Mathematical Society 2 Journal of the Australian Mathematical Society 2 Frontiers of Mathematics in China 2 Algebra & Number Theory 2 Science China. Mathematics 1 Computer Physics Communications 1 Israel Journal of Mathematics 1 Physics Letters. A 1 Physics Reports 1 Applied Mathematics and Computation 1 Colloquium Mathematicum 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Acta Mathematica Hungarica 1 Journal of Complexity 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 New Zealand Journal of Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 LMS Journal of Computation and Mathematics 1 Integers 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Statistical Mechanics: Theory and Experiment 1 Proceedings of the Steklov Institute of Mathematics 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Journal of Mathematical Cryptology 1 Uniform Distribution Theory 1 Annalen der Physik 1 Forum of Mathematics, Sigma 1 Research in the Mathematical Sciences 1 European Journal of Mathematics 1 Journal of Numbers all top 5 Cited in 10 Fields 147 Number theory (11-XX) 16 Algebraic geometry (14-XX) 4 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year