Osburn, Robert

Compute Distance To:
 Author ID: osburn.robert Published as: Osburn, Robert; Osburn, R.
 Documents Indexed: 45 Publications since 2002 Co-Authors: 36 Co-Authors with 39 Joint Publications 1,064 Co-Co-Authors
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Co-Authors

 5 single-authored 14 Lovejoy, Jeremy 4 Sahu, Brundaban 3 Chan, Song Heng 3 Moree, Pieter 3 Straub, Armin 2 Bringmann, Kathrin 2 Mao, Renrong 2 McCarthy, Dermot 2 Zudilin, Wadim 1 Andrews, George Eyre 1 Beirne, Paul 1 Bijaoui, Colin 1 Boden, Hans U. 1 Brink, David M. 1 Chan, Heng Huat 1 Choi, Stephen Kwok-Kwong 1 De Wannemacker, Stefan A. G. 1 Dousse, Jehanne 1 Goswami, Ankush 1 Keilthy, Adam 1 Kim, Byungchan 1 Kontogeorgis, Aristides I. 1 Krattenthaler, Christian Friedrich 1 Kumchev, Angel V. 1 Laffey, Thomas J. 1 Long, Ling 1 Luca, Florian 1 Murty, Maruti Ram 1 Myers, Beckham 1 Rushworth, William 1 Saad Eddin, Sumaia 1 Schneider, Carsten 1 Sedunova, Alisa 1 Swisher, Holly 1 Tronsgard, Aaron 1 Zhou, Shaoyang
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Serials

 3 Journal of Number Theory 3 Proceedings of the American Mathematical Society 3 The Ramanujan Journal 2 Journal of Mathematical Analysis and Applications 2 Acta Arithmetica 2 Journal of Combinatorial Theory. Series A 2 IMRN. International Mathematics Research Notices 2 Indagationes Mathematicae. New Series 2 International Journal of Number Theory 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annales des Sciences Mathématiques du Québec 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 The Journal of the Indian Mathematical Society. New Series 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Advances in Applied Mathematics 1 Forum Mathematicum 1 L’Enseignement Mathématique. 2e Série 1 Journal of Knot Theory and its Ramifications 1 Journal de Théorie des Nombres de Bordeaux 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 Annals of Combinatorics 1 The Quarterly Journal of Mathematics 1 Integers 1 Research in Number Theory
all top 5

Fields

 40 Number theory (11-XX) 19 Special functions (33-XX) 17 Combinatorics (05-XX) 5 Manifolds and cell complexes (57-XX) 3 $$K$$-theory (19-XX) 1 Associative rings and algebras (16-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX)

Citations contained in zbMATH Open

41 Publications have been cited 402 times in 271 Documents Cited by Year
A $$p$$-adic analogue of a formula of Ramanujan. Zbl 1175.33004
McCarthy, Dermot; Osburn, Robert
2008
Gaussian hypergeometric series and supercongruences. Zbl 1209.11049
Osburn, Robert; Schneider, Carsten
2009
Rank and crank moments for overpartitions. Zbl 1248.11076
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
2009
On the (K.2) supercongruence of Van Hamme. Zbl 1400.11062
Osburn, Robert; Zudilin, Wadim
2016
$$M_2$$-rank differences for partitions without repeated odd parts. Zbl 1270.11103
Lovejoy, Jeremy; Osburn, Robert
2009
Rank differences for overpartitions. Zbl 1153.11052
Lovejoy, Jeremy; Osburn, Robert
2008
$$M_2$$-rank differences for overpartitions. Zbl 1235.11093
Lovejoy, Jeremy; Osburn, Robert
2010
Automorphic properties of generating functions for generalized rank moments and Durfee symbols. Zbl 1230.05034
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
2010
Supercongruences for sporadic sequences. Zbl 1411.11005
Osburn, Robert; Sahu, Brundaban; Straub, Armin
2016
Quadratic forms and four partition functions modulo 3. Zbl 1219.11155
Lovejoy, Jeremy; Osburn, Robert
2011
The first positive rank and crank moments for overpartitions. Zbl 1405.11136
Andrews, George; Chan, Song Heng; Kim, Byungchan; Osburn, Robert
2016
The Bailey chain and mock theta functions. Zbl 1290.33019
Lovejoy, Jeremy; Osburn, Robert
2013
$$q$$-hypergeometric double sums as mock theta functions. Zbl 1303.33017
Lovejoy, Jeremy; Osburn, Robert
2013
Mock theta double sums. Zbl 1430.11060
Lovejoy, Jeremy; Osburn, Robert
2017
Supercongruences for Apéry-like numbers. Zbl 1244.11006
Osburn, Robert; Sahu, Brundaban
2011
Congruences via modular forms. Zbl 1236.11046
Osburn, Robert; Sahu, Brundaban
2011
A modular supercongruence for $${}_6 F_5$$: an Apéry-like story. (Une supercongruence modulaire pour $${}_6 F_5$$: un conte à la Apéry.) Zbl 1429.11039
Osburn, Robert; Straub, Armin; Zudilin, Wadim
2018
Rogers-Ramanujan type identities for alternating knots. Zbl 1334.33033
Keilthy, Adam; Osburn, Robert
2016
Mixed mock modular $$q$$-series. Zbl 1290.33020
Lovejoy, Jeremy; Osburn, Robert
2013
On sums of three squares. Zbl 1083.11024
Choi, S. K. K.; Kumchev, A. V.; Osburn, R.
2005
On a conjecture of Kimoto and Wakayama. Zbl 1402.11111
Long, Ling; Osburn, Robert; Swisher, Holly
2016
$$q$$-series and tails of colored Jones polynomials. Zbl 1353.05023
Beirne, Paul; Osburn, Robert
2017
Congruences for traces of singular moduli. Zbl 1142.11030
Osburn, Robert
2007
Real quadratic double sums. Zbl 1320.33026
Lovejoy, Jeremy; Osburn, Robert
2015
A supercongruence for generalized Domb numbers. Zbl 1337.11001
Osburn, Robert; Sahu, Brundaban
2013
On a conjecture of Wilf. Zbl 1166.11012
De Wannemacker, Stefan; Laffey, Thomas; Osburn, Robert
2007
Two-dimensional lattices with few distances. Zbl 1117.11037
Moree, Pieter; Osburn, Robert
2006
Tame kernels and further 4-rank densities. Zbl 1049.11128
Osburn, Robert; Murray, Brian
2003
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. II. Zbl 1435.57009
Lovejoy, Jeremy; Osburn, Robert
2019
Generalized Fishburn numbers and torus knots. Zbl 1468.11082
Bijaoui, Colin; Boden, Hans U.; Myers, Beckham; Osburn, Robert; Rushworth, William; Tronsgard, Aaron; Zhou, Shaoyang
2021
Variations of Andrews-Beck type congruences. Zbl 1464.11106
Chan, Song Heng; Mao, Renrong; Osburn, Robert
2021
Supercongruences satisfied by coefficients of $$_2F_1$$ hypergeometric series. Zbl 1236.33006
Chan, Heng Huat; Kontogeorgis, Aristides; Krattenthaler, Christian; Osburn, Robert
2010
Densities of 4-ranks of $$K_2({\mathcal O})$$. Zbl 1029.11062
Osburn, Robert
2002
Sequences, modular forms and cellular integrals. Zbl 1461.11065
McCarthy, Dermot; Osburn, Robert; Straub, Armin
2020
On two 10th-order mock theta identities. Zbl 1315.33021
Lovejoy, Jeremy; Osburn, Robert
2015
A remark on a conjecture of Borwein and Choi. Zbl 1122.11020
Osburn, Robert
2005
Vanishing of eigenspaces and cyclotomic fields. Zbl 1126.11060
Osburn, Robert
2005
A note on 4-rank densities. Zbl 1127.11076
Osburn, Robert
2004
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. Zbl 1470.57023
Lovejoy, Jeremy; Osburn, Robert
2021
Representations of integers by certain positive definite binary quadratic forms. Zbl 1155.11022
Murty, M. Ram; Osburn, Robert
2007
On recursions for coefficients of mock theta functions. Zbl 1331.33034
Chan, Song Heng; Mao, Renrong; Osburn, Robert
2015
Generalized Fishburn numbers and torus knots. Zbl 1468.11082
Bijaoui, Colin; Boden, Hans U.; Myers, Beckham; Osburn, Robert; Rushworth, William; Tronsgard, Aaron; Zhou, Shaoyang
2021
Variations of Andrews-Beck type congruences. Zbl 1464.11106
Chan, Song Heng; Mao, Renrong; Osburn, Robert
2021
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. Zbl 1470.57023
Lovejoy, Jeremy; Osburn, Robert
2021
Sequences, modular forms and cellular integrals. Zbl 1461.11065
McCarthy, Dermot; Osburn, Robert; Straub, Armin
2020
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. II. Zbl 1435.57009
Lovejoy, Jeremy; Osburn, Robert
2019
A modular supercongruence for $${}_6 F_5$$: an Apéry-like story. (Une supercongruence modulaire pour $${}_6 F_5$$: un conte à la Apéry.) Zbl 1429.11039
Osburn, Robert; Straub, Armin; Zudilin, Wadim
2018
Mock theta double sums. Zbl 1430.11060
Lovejoy, Jeremy; Osburn, Robert
2017
$$q$$-series and tails of colored Jones polynomials. Zbl 1353.05023
Beirne, Paul; Osburn, Robert
2017
On the (K.2) supercongruence of Van Hamme. Zbl 1400.11062
Osburn, Robert; Zudilin, Wadim
2016
Supercongruences for sporadic sequences. Zbl 1411.11005
Osburn, Robert; Sahu, Brundaban; Straub, Armin
2016
The first positive rank and crank moments for overpartitions. Zbl 1405.11136
Andrews, George; Chan, Song Heng; Kim, Byungchan; Osburn, Robert
2016
Rogers-Ramanujan type identities for alternating knots. Zbl 1334.33033
Keilthy, Adam; Osburn, Robert
2016
On a conjecture of Kimoto and Wakayama. Zbl 1402.11111
Long, Ling; Osburn, Robert; Swisher, Holly
2016
Real quadratic double sums. Zbl 1320.33026
Lovejoy, Jeremy; Osburn, Robert
2015
On two 10th-order mock theta identities. Zbl 1315.33021
Lovejoy, Jeremy; Osburn, Robert
2015
On recursions for coefficients of mock theta functions. Zbl 1331.33034
Chan, Song Heng; Mao, Renrong; Osburn, Robert
2015
The Bailey chain and mock theta functions. Zbl 1290.33019
Lovejoy, Jeremy; Osburn, Robert
2013
$$q$$-hypergeometric double sums as mock theta functions. Zbl 1303.33017
Lovejoy, Jeremy; Osburn, Robert
2013
Mixed mock modular $$q$$-series. Zbl 1290.33020
Lovejoy, Jeremy; Osburn, Robert
2013
A supercongruence for generalized Domb numbers. Zbl 1337.11001
Osburn, Robert; Sahu, Brundaban
2013
Quadratic forms and four partition functions modulo 3. Zbl 1219.11155
Lovejoy, Jeremy; Osburn, Robert
2011
Supercongruences for Apéry-like numbers. Zbl 1244.11006
Osburn, Robert; Sahu, Brundaban
2011
Congruences via modular forms. Zbl 1236.11046
Osburn, Robert; Sahu, Brundaban
2011
$$M_2$$-rank differences for overpartitions. Zbl 1235.11093
Lovejoy, Jeremy; Osburn, Robert
2010
Automorphic properties of generating functions for generalized rank moments and Durfee symbols. Zbl 1230.05034
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
2010
Supercongruences satisfied by coefficients of $$_2F_1$$ hypergeometric series. Zbl 1236.33006
Chan, Heng Huat; Kontogeorgis, Aristides; Krattenthaler, Christian; Osburn, Robert
2010
Gaussian hypergeometric series and supercongruences. Zbl 1209.11049
Osburn, Robert; Schneider, Carsten
2009
Rank and crank moments for overpartitions. Zbl 1248.11076
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
2009
$$M_2$$-rank differences for partitions without repeated odd parts. Zbl 1270.11103
Lovejoy, Jeremy; Osburn, Robert
2009
A $$p$$-adic analogue of a formula of Ramanujan. Zbl 1175.33004
McCarthy, Dermot; Osburn, Robert
2008
Rank differences for overpartitions. Zbl 1153.11052
Lovejoy, Jeremy; Osburn, Robert
2008
Congruences for traces of singular moduli. Zbl 1142.11030
Osburn, Robert
2007
On a conjecture of Wilf. Zbl 1166.11012
De Wannemacker, Stefan; Laffey, Thomas; Osburn, Robert
2007
Representations of integers by certain positive definite binary quadratic forms. Zbl 1155.11022
Murty, M. Ram; Osburn, Robert
2007
Two-dimensional lattices with few distances. Zbl 1117.11037
Moree, Pieter; Osburn, Robert
2006
On sums of three squares. Zbl 1083.11024
Choi, S. K. K.; Kumchev, A. V.; Osburn, R.
2005
A remark on a conjecture of Borwein and Choi. Zbl 1122.11020
Osburn, Robert
2005
Vanishing of eigenspaces and cyclotomic fields. Zbl 1126.11060
Osburn, Robert
2005
A note on 4-rank densities. Zbl 1127.11076
Osburn, Robert
2004
Tame kernels and further 4-rank densities. Zbl 1049.11128
Osburn, Robert; Murray, Brian
2003
Densities of 4-ranks of $$K_2({\mathcal O})$$. Zbl 1029.11062
Osburn, Robert
2002
all top 5

Cited by 231 Authors

 25 Guo, Victor J. W. 21 Osburn, Robert 17 Mao, Renrong 15 Jennings-Shaffer, Chris 12 Lovejoy, Jeremy 11 Liu, Jicai 10 Mao, Guo-Shuai 8 Chan, Song Heng 8 Kim, Byungchan 8 Pan, Hao 8 Swisher, Holly 7 Bringmann, Kathrin 7 Schlosser, Michael J. 6 Garvan, Frank G. 6 Kalita, Gautam 6 Long, Ling 6 McCarthy, Dermot 6 Zudilin, Wadim 5 Gu, Nancy Shan Shan 5 Schneider, Carsten 5 Straub, Armin 4 He, Bing 4 Lin, Bernard L. S. 4 Mortenson, Eric T. 4 Sun, Zhi-Wei 4 Zhang, Helen W. J. 3 Al-Saedi, Ali H. 3 Andrews, George Eyre 3 Barman, Rupam 3 Cheng, Xiaoyun 3 Hajij, Mustafa 3 Hou, Qinghu 3 Ji, Kathy Qing 3 Kim, Eunmi 3 Mahlburg, Karl 3 Ni, He-Xia 3 Sahu, Brundaban 3 Sofo, Anthony 3 Wang, Weiping 2 Ablinger, Jakob 2 Ahlgren, Scott D. 2 Andersen, Nickolas 2 Chen, William Yong-Chuan 2 Chetry, Arjun Singh 2 Cui, Su-Ping 2 Dixit, Atul 2 Elhamdadi, Mohamed 2 Guo, Xuejun 2 Hao, Li-Jun 2 Hickerson, Dean R. 2 Jana, Arijit 2 Kim, Chang Heon 2 Moree, Pieter 2 Morrill, Thomas 2 Patkowski, Alexander Eric 2 Qin, Hourong 2 Shen, Erin Y. Y. 2 Song, Hanfei 2 Su, Chenyang 2 Sun, Lisa Hui 2 Tauraso, Roberto 2 Wakayama, Masato 2 Wang, Liuquan 2 Wang, Ronghua 2 Wang, Xiaoxia 2 Yao, Olivia Xiang Mei 2 Yee, Ae Ja 2 Yuasa, Wataru 2 Zhang, Yong 2 Zhang, Zhizheng 1 Alfes-Neumann, Claudia 1 Alwaise, Ethan 1 Amdeberhan, Tewodros 1 Ammons, Savana 1 Babecki, Catherine 1 Balaji, Vajresh 1 Banderier, Cyril 1 Baruah, Nayandeep Deka 1 Begum, Nilufar Mana 1 Beirne, Paul 1 Bian, Min 1 Bijaoui, Colin 1 Blomer, Valentin 1 Blümlein, Johannes 1 Boden, Hans U. 1 Brietzke, Eduardo H. M. 1 Brink, David M. 1 Bruinier, Jan Hendrik 1 Buterus, Paul 1 Chamizo Lorente, Fernando 1 Chan, Heng Huat 1 Chen, Shichao 1 Chern, Shane 1 Chetry, Jubaraj 1 Chisholm, Sarah 1 Choi, Suh Hyun 1 Ciolan, Alexandru 1 Cristóbal, Elena 1 da Silva, Robson 1 Dawsey, Madeline Locus ...and 131 more Authors
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Cited in 76 Serials

 28 International Journal of Number Theory 27 The Ramanujan Journal 26 Journal of Number Theory 17 Journal of Mathematical Analysis and Applications 10 Advances in Mathematics 9 Proceedings of the American Mathematical Society 9 Results in Mathematics 8 Research in Number Theory 7 Acta Arithmetica 7 Advances in Applied Mathematics 6 Annals of Combinatorics 5 Discrete Mathematics 5 Journal of Combinatorial Theory. Series A 5 Journal of Symbolic Computation 5 Journal of Difference Equations and Applications 4 Bulletin of the Australian Mathematical Society 4 Transactions of the American Mathematical Society 4 Finite Fields and their Applications 4 Integral Transforms and Special Functions 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Rocky Mountain Journal of Mathematics 3 Journal of Knot Theory and its Ramifications 3 The Electronic Journal of Combinatorics 3 Science China. Mathematics 3 Research in the Mathematical Sciences 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Forum Mathematicum 2 Indagationes Mathematicae. New Series 2 Journal de Théorie des Nombres de Bordeaux 2 Integers 1 American Mathematical Monthly 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Mathematica Slovaca 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Tokyo Journal of Mathematics 1 European Journal of Combinatorics 1 Bulletin of the Korean Mathematical Society 1 Constructive Approximation 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Proceedings of the National Academy of Sciences of the United States of America 1 Expositiones Mathematicae 1 Journal of Integer Sequences 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Symmetry 1 Forum of Mathematics, Sigma 1 Mathematical Sciences 1 Journal of Mathematics 1 Mathematics 1 Transactions of the American Mathematical Society. Series B
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Cited in 25 Fields

 252 Number theory (11-XX) 111 Special functions (33-XX) 109 Combinatorics (05-XX) 11 Manifolds and cell complexes (57-XX) 5 Computer science (68-XX) 4 $$K$$-theory (19-XX) 4 Integral transforms, operational calculus (44-XX) 4 Quantum theory (81-XX) 3 Field theory and polynomials (12-XX) 3 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)