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Author ID: osburn.robert Recent zbMATH articles by "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

Publications by Year

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
45
2008
Gaussian hypergeometric series and supercongruences. Zbl 1209.11049
Osburn, Robert; Schneider, Carsten
36
2009
Rank and crank moments for overpartitions. Zbl 1248.11076
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
36
2009
On the (K.2) supercongruence of Van Hamme. Zbl 1400.11062
Osburn, Robert; Zudilin, Wadim
33
2016
\(M_2\)-rank differences for partitions without repeated odd parts. Zbl 1270.11103
Lovejoy, Jeremy; Osburn, Robert
27
2009
Rank differences for overpartitions. Zbl 1153.11052
Lovejoy, Jeremy; Osburn, Robert
26
2008
\(M_2\)-rank differences for overpartitions. Zbl 1235.11093
Lovejoy, Jeremy; Osburn, Robert
16
2010
Automorphic properties of generating functions for generalized rank moments and Durfee symbols. Zbl 1230.05034
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
16
2010
Supercongruences for sporadic sequences. Zbl 1411.11005
Osburn, Robert; Sahu, Brundaban; Straub, Armin
16
2016
Quadratic forms and four partition functions modulo 3. Zbl 1219.11155
Lovejoy, Jeremy; Osburn, Robert
13
2011
The first positive rank and crank moments for overpartitions. Zbl 1405.11136
Andrews, George; Chan, Song Heng; Kim, Byungchan; Osburn, Robert
12
2016
The Bailey chain and mock theta functions. Zbl 1290.33019
Lovejoy, Jeremy; Osburn, Robert
12
2013
\(q\)-hypergeometric double sums as mock theta functions. Zbl 1303.33017
Lovejoy, Jeremy; Osburn, Robert
10
2013
Mock theta double sums. Zbl 1430.11060
Lovejoy, Jeremy; Osburn, Robert
9
2017
Supercongruences for Apéry-like numbers. Zbl 1244.11006
Osburn, Robert; Sahu, Brundaban
8
2011
Congruences via modular forms. Zbl 1236.11046
Osburn, Robert; Sahu, Brundaban
7
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
7
2018
Rogers-Ramanujan type identities for alternating knots. Zbl 1334.33033
Keilthy, Adam; Osburn, Robert
7
2016
Mixed mock modular \(q\)-series. Zbl 1290.33020
Lovejoy, Jeremy; Osburn, Robert
6
2013
On sums of three squares. Zbl 1083.11024
Choi, S. K. K.; Kumchev, A. V.; Osburn, R.
5
2005
On a conjecture of Kimoto and Wakayama. Zbl 1402.11111
Long, Ling; Osburn, Robert; Swisher, Holly
5
2016
\(q\)-series and tails of colored Jones polynomials. Zbl 1353.05023
Beirne, Paul; Osburn, Robert
4
2017
Congruences for traces of singular moduli. Zbl 1142.11030
Osburn, Robert
4
2007
Real quadratic double sums. Zbl 1320.33026
Lovejoy, Jeremy; Osburn, Robert
4
2015
A supercongruence for generalized Domb numbers. Zbl 1337.11001
Osburn, Robert; Sahu, Brundaban
4
2013
On a conjecture of Wilf. Zbl 1166.11012
De Wannemacker, Stefan; Laffey, Thomas; Osburn, Robert
3
2007
Two-dimensional lattices with few distances. Zbl 1117.11037
Moree, Pieter; Osburn, Robert
3
2006
Tame kernels and further 4-rank densities. Zbl 1049.11128
Osburn, Robert; Murray, Brian
3
2003
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. II. Zbl 1435.57009
Lovejoy, Jeremy; Osburn, Robert
3
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
3
2021
Variations of Andrews-Beck type congruences. Zbl 1464.11106
Chan, Song Heng; Mao, Renrong; Osburn, Robert
3
2021
Supercongruences satisfied by coefficients of \(_2F_1\) hypergeometric series. Zbl 1236.33006
Chan, Heng Huat; Kontogeorgis, Aristides; Krattenthaler, Christian; Osburn, Robert
3
2010
Densities of 4-ranks of \(K_2({\mathcal O})\). Zbl 1029.11062
Osburn, Robert
3
2002
Sequences, modular forms and cellular integrals. Zbl 1461.11065
McCarthy, Dermot; Osburn, Robert; Straub, Armin
2
2020
On two 10th-order mock theta identities. Zbl 1315.33021
Lovejoy, Jeremy; Osburn, Robert
2
2015
A remark on a conjecture of Borwein and Choi. Zbl 1122.11020
Osburn, Robert
1
2005
Vanishing of eigenspaces and cyclotomic fields. Zbl 1126.11060
Osburn, Robert
1
2005
A note on 4-rank densities. Zbl 1127.11076
Osburn, Robert
1
2004
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. Zbl 1470.57023
Lovejoy, Jeremy; Osburn, Robert
1
2021
Representations of integers by certain positive definite binary quadratic forms. Zbl 1155.11022
Murty, M. Ram; Osburn, Robert
1
2007
On recursions for coefficients of mock theta functions. Zbl 1331.33034
Chan, Song Heng; Mao, Renrong; Osburn, Robert
1
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
3
2021
Variations of Andrews-Beck type congruences. Zbl 1464.11106
Chan, Song Heng; Mao, Renrong; Osburn, Robert
3
2021
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. Zbl 1470.57023
Lovejoy, Jeremy; Osburn, Robert
1
2021
Sequences, modular forms and cellular integrals. Zbl 1461.11065
McCarthy, Dermot; Osburn, Robert; Straub, Armin
2
2020
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. II. Zbl 1435.57009
Lovejoy, Jeremy; Osburn, Robert
3
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
7
2018
Mock theta double sums. Zbl 1430.11060
Lovejoy, Jeremy; Osburn, Robert
9
2017
\(q\)-series and tails of colored Jones polynomials. Zbl 1353.05023
Beirne, Paul; Osburn, Robert
4
2017
On the (K.2) supercongruence of Van Hamme. Zbl 1400.11062
Osburn, Robert; Zudilin, Wadim
33
2016
Supercongruences for sporadic sequences. Zbl 1411.11005
Osburn, Robert; Sahu, Brundaban; Straub, Armin
16
2016
The first positive rank and crank moments for overpartitions. Zbl 1405.11136
Andrews, George; Chan, Song Heng; Kim, Byungchan; Osburn, Robert
12
2016
Rogers-Ramanujan type identities for alternating knots. Zbl 1334.33033
Keilthy, Adam; Osburn, Robert
7
2016
On a conjecture of Kimoto and Wakayama. Zbl 1402.11111
Long, Ling; Osburn, Robert; Swisher, Holly
5
2016
Real quadratic double sums. Zbl 1320.33026
Lovejoy, Jeremy; Osburn, Robert
4
2015
On two 10th-order mock theta identities. Zbl 1315.33021
Lovejoy, Jeremy; Osburn, Robert
2
2015
On recursions for coefficients of mock theta functions. Zbl 1331.33034
Chan, Song Heng; Mao, Renrong; Osburn, Robert
1
2015
The Bailey chain and mock theta functions. Zbl 1290.33019
Lovejoy, Jeremy; Osburn, Robert
12
2013
\(q\)-hypergeometric double sums as mock theta functions. Zbl 1303.33017
Lovejoy, Jeremy; Osburn, Robert
10
2013
Mixed mock modular \(q\)-series. Zbl 1290.33020
Lovejoy, Jeremy; Osburn, Robert
6
2013
A supercongruence for generalized Domb numbers. Zbl 1337.11001
Osburn, Robert; Sahu, Brundaban
4
2013
Quadratic forms and four partition functions modulo 3. Zbl 1219.11155
Lovejoy, Jeremy; Osburn, Robert
13
2011
Supercongruences for Apéry-like numbers. Zbl 1244.11006
Osburn, Robert; Sahu, Brundaban
8
2011
Congruences via modular forms. Zbl 1236.11046
Osburn, Robert; Sahu, Brundaban
7
2011
\(M_2\)-rank differences for overpartitions. Zbl 1235.11093
Lovejoy, Jeremy; Osburn, Robert
16
2010
Automorphic properties of generating functions for generalized rank moments and Durfee symbols. Zbl 1230.05034
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
16
2010
Supercongruences satisfied by coefficients of \(_2F_1\) hypergeometric series. Zbl 1236.33006
Chan, Heng Huat; Kontogeorgis, Aristides; Krattenthaler, Christian; Osburn, Robert
3
2010
Gaussian hypergeometric series and supercongruences. Zbl 1209.11049
Osburn, Robert; Schneider, Carsten
36
2009
Rank and crank moments for overpartitions. Zbl 1248.11076
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
36
2009
\(M_2\)-rank differences for partitions without repeated odd parts. Zbl 1270.11103
Lovejoy, Jeremy; Osburn, Robert
27
2009
A \(p\)-adic analogue of a formula of Ramanujan. Zbl 1175.33004
McCarthy, Dermot; Osburn, Robert
45
2008
Rank differences for overpartitions. Zbl 1153.11052
Lovejoy, Jeremy; Osburn, Robert
26
2008
Congruences for traces of singular moduli. Zbl 1142.11030
Osburn, Robert
4
2007
On a conjecture of Wilf. Zbl 1166.11012
De Wannemacker, Stefan; Laffey, Thomas; Osburn, Robert
3
2007
Representations of integers by certain positive definite binary quadratic forms. Zbl 1155.11022
Murty, M. Ram; Osburn, Robert
1
2007
Two-dimensional lattices with few distances. Zbl 1117.11037
Moree, Pieter; Osburn, Robert
3
2006
On sums of three squares. Zbl 1083.11024
Choi, S. K. K.; Kumchev, A. V.; Osburn, R.
5
2005
A remark on a conjecture of Borwein and Choi. Zbl 1122.11020
Osburn, Robert
1
2005
Vanishing of eigenspaces and cyclotomic fields. Zbl 1126.11060
Osburn, Robert
1
2005
A note on 4-rank densities. Zbl 1127.11076
Osburn, Robert
1
2004
Tame kernels and further 4-rank densities. Zbl 1049.11128
Osburn, Robert; Murray, Brian
3
2003
Densities of 4-ranks of \(K_2({\mathcal O})\). Zbl 1029.11062
Osburn, Robert
3
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
all top 5

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

Citations by Year