×
Author ID: barman.rupam Recent zbMATH articles by "Barman, Rupam"
Published as: Barman, Rupam
External Links: MGP
Documents Indexed: 74 Publications since 2006, including 11 Additional arXiv Preprints
Reviewing Activity: 4 Reviews
Co-Authors: 20 Co-Authors with 62 Joint Publications
184 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 268 times in 125 Documents Cited by Year
Certain values of Gaussian hypergeometric series and a family of algebraic curves. Zbl 1266.11076
Barman, Rupam; Kalita, Gautam
25
2012
Elliptic curves and special values of Gaussian hypergeometric series. Zbl 1295.11137
Barman, Rupam; Kalita, Gautam
25
2013
Hypergeometric functions over \(\mathbb F_q\) and traces of Frobenius for elliptic curves. Zbl 1319.11090
Barman, Rupam; Kalita, Gautam
22
2013
Hypergeometric functions and a family of algebraic curves. Zbl 1264.11054
Barman, Rupam; Kalita, Gautam
16
2012
Supercongruences for truncated hypergeometric series and \(p\)-adic gamma function. Zbl 1509.11003
Barman, Rupam; Saikia, Neelam
10
2020
A finite field analogue of the Appell series \(F_4\). Zbl 1428.33028
Tripathi, Mohit; Barman, Rupam
9
2018
\(p\)-adic gamma function and the trace of Frobenius of elliptic curves. Zbl 1345.11041
Barman, Rupam; Saikia, Neelam
8
2014
On Andrews’ integer partitions with even parts below odd parts. Zbl 1444.05014
Ray, Chiranjit; Barman, Rupam
8
2020
Appell’s hypergeometric series over finite fields. Zbl 1440.33012
Tripathi, Mohit; Saikia, Neelam; Barman, Rupam
8
2020
Congruences for \(\ell \)-regular overpartitions and Andrews’ singular overpartitions. Zbl 1379.05005
Barman, Rupam; Ray, Chiranjit
7
2018
Certain transformations for hypergeometric series in the \(p\)-adic setting. Zbl 1365.11121
Barman, Rupam; Saikia, Neelam
7
2015
Summation identities and special values of hypergeometric series in the \(p\)-adic setting. Zbl 1320.11114
Barman, Rupam; Saikia, Neelam; McCarthy, Dermot
7
2015
On the polynomial \(x^d + ax + b\) over \(\mathbb F_q\) and Gaussian hypergeometric series. Zbl 1306.11050
Barman, Rupam; Kalita, Gautam
7
2013
Certain product formulas and values of Gaussian hypergeometric series. Zbl 1467.33004
Tripathi, Mohit; Barman, Rupam
7
2020
Certain theta-function identities and Ramanujan’s modular equations of degree 3. Zbl 1114.11040
Baruah, Nayandeep Deka; Barman, Rupam
6
2006
Infinite families of congruences for \(k\)-regular overpartitions. Zbl 1465.11199
Ray, Chiranjit; Barman, Rupam
6
2018
Hyperelliptic curves over \(\mathbb F_q\) and Gaussian hypergeometric series. Zbl 1425.11128
Barman, Rupam; Kalita, Gautam
6
2015
Hyperelliptic curves and values of Gaussian hypergeometric series. Zbl 1323.11044
Barman, Rupam; Kalita, Gautam; Saikia, Neelam
6
2014
Divisibility of Andrews’ singular overpartitions by powers of 2 and 3. Zbl 1416.05027
Barman, Rupam; Ray, Chiranjit
6
2019
On the polynomials \(x^d+ax^i+b\) and \(x^d+ax^{d-i}+b\) over \(\mathbb F_q\) and Gaussian hypergeometric series. Zbl 1372.11112
Barman, Rupam; Saikia, Neelam
5
2014
On mex-related partition functions of Andrews and Newman. Zbl 1478.11121
Barman, Rupam; Singh, Ajit
5
2021
\(p\)-adic gamma function and the polynomials \(x^d + ax + b\) and \(x^d + ax^{d-1} + b\) over \(\mathbb{F}_q\). Zbl 1296.11075
Barman, Rupam; Saikia, Neelam
4
2014
A note on Iwasawa \(\mu\)-invariants of elliptic curves. Zbl 1244.11060
Barman, Rupam; Saikia, Anupam
4
2010
Mex-related partition functions of Andrews and Newman. Zbl 1471.11258
Barman, Rupam; Singh, Ajit
4
2021
Appell series over finite fields and Gaussian hypergeometric series. Zbl 1468.33008
Tripathi, Mohit; Barman, Rupam
4
2021
Certain eta-quotients and arithmetic density of Andrews’ singular overpartitions. Zbl 1479.05026
Singh, Ajit; Barman, Rupam
4
2021
Counting points on Dwork hypersurfaces and \(p\)-adic hypergeometric functions. Zbl 1418.11102
Barman, Rupam; Rahman, Hasanur; Saikia, Neelam
3
2016
Arithmetic properties of cubic and overcubic partition pairs. Zbl 1439.05028
Ray, Chiranjit; Barman, Rupam
3
2020
\(p\)-adic quotient sets: cubic forms. Zbl 1508.11050
Antony, Deepa; Barman, Rupam
3
2022
Certain transformations and special values of hypergeometric functions over finite fields. Zbl 1490.33002
Barman, Rupam; Tripathi, Mohit
3
2022
Higher order moments of generalized quadratic Gauss sums weighted by \(L\)-functions. Zbl 1492.11122
Bag, Nilanjan; Barman, Rupam
3
2021
Lehmer’s generalized Euler numbers in hypergeometric functions. Zbl 1418.11036
Barman, Rupam; Komatsu, Takao
3
2019
Iwasawa \(\lambda \)-invariants of \(p\)-adic measures on \(\mathbb Z^n_p\) and their \(\varGamma \)-transforms. Zbl 1276.11195
Barman, Rupam; Saikia, Anupam
2
2012
Iwasawa \(\lambda\)-invariants and \(\Gamma\)-transforms of \(p\)-adic measures on \(\mathbb Z^n_p\). Zbl 1221.11133
Barman, Rupam; Saikia, Anupam
2
2010
Certain character sums and hypergeometric series. Zbl 1442.11162
Barman, Rupam; Saikia, Neelam
2
2018
Divisibility of certain \(\ell\)-regular partitions by 2. Zbl 1498.05032
Singh, Ajit; Barman, Rupam
2
2022
On a Paley-type graph on \({\mathbb{Z}}_n\). Zbl 1484.05100
Bhowmik, Anwita; Barman, Rupam
2
2022
New congruences for overpartitions into odd parts. Zbl 1455.11138
Ray, Chiranjit; Barman, Rupam
2
2018
On \(p\)-adic properties of certain Mahler coefficients. Zbl 1276.11194
Barman, Rupam
1
2011
Iwasawa \(\lambda\)-invariants and \(\Gamma\)-transforms. Zbl 1241.11126
Saikia, Anupam; Barman, Rupam
1
2009
Proof of a limited version of Mao’s partition rank inequality using a theta function identity. Zbl 1415.11139
Barman, Rupam; Sachdeva, Archit Pal Singh
1
2016
An improved estimate of the fourth power mean of the general \(3\)-dimensional Kloosterman sum mod \(p\). Zbl 1495.11096
Bag, Nilanjan; Barman, Rupam
1
2021
Another look at Iwasawa \(\lambda\)-invariants of \(p\)-adic measures on \(\mathbb Z_p^n\) and \(\Gamma\)-transforms. Zbl 1276.11172
Barman, Rupam
1
2013
Coefficients of a \(p\)-adic measure on \(\mathbb Z^n_p\) and Iwasawa \(\lambda\)-invariant of its \(\Gamma \)-transform. Zbl 1206.11072
Barman, Rupam; Saikia, Anupam
1
2010
Proof of some conjectural congruences of da Silva and Sellers. Zbl 1504.11111
Singh, Ajit; Barman, Rupam
1
2022
\(p\)-adic quotient sets: diagonal forms. Zbl 1508.11051
Antony, Deepa; Barman, Rupam; Miska, Piotr
1
2022
On denseness of certain direction and generalized direction sets. Zbl 1507.11012
Antony, Deepa; Barman, Rupam; Chattopadhyay, Jaitra
1
2022
Proofs of some conjectures of Keith and Zanello on \(t\)-regular partition. Zbl 1514.11066
Singh, Ajit; Barman, Rupam
1
2022
New density results and congruences for Andrews’ singular overpartitions. Zbl 1473.05026
Singh, Ajit; Barman, Rupam
1
2021
Summation identities and transformations for hypergeometric series. Zbl 1451.11053
Barman, Rupam; Saikia, Neelam
1
2018
\(p\)-adic quotient sets: cubic forms. Zbl 1508.11050
Antony, Deepa; Barman, Rupam
3
2022
Certain transformations and special values of hypergeometric functions over finite fields. Zbl 1490.33002
Barman, Rupam; Tripathi, Mohit
3
2022
Divisibility of certain \(\ell\)-regular partitions by 2. Zbl 1498.05032
Singh, Ajit; Barman, Rupam
2
2022
On a Paley-type graph on \({\mathbb{Z}}_n\). Zbl 1484.05100
Bhowmik, Anwita; Barman, Rupam
2
2022
Proof of some conjectural congruences of da Silva and Sellers. Zbl 1504.11111
Singh, Ajit; Barman, Rupam
1
2022
\(p\)-adic quotient sets: diagonal forms. Zbl 1508.11051
Antony, Deepa; Barman, Rupam; Miska, Piotr
1
2022
On denseness of certain direction and generalized direction sets. Zbl 1507.11012
Antony, Deepa; Barman, Rupam; Chattopadhyay, Jaitra
1
2022
Proofs of some conjectures of Keith and Zanello on \(t\)-regular partition. Zbl 1514.11066
Singh, Ajit; Barman, Rupam
1
2022
On mex-related partition functions of Andrews and Newman. Zbl 1478.11121
Barman, Rupam; Singh, Ajit
5
2021
Mex-related partition functions of Andrews and Newman. Zbl 1471.11258
Barman, Rupam; Singh, Ajit
4
2021
Appell series over finite fields and Gaussian hypergeometric series. Zbl 1468.33008
Tripathi, Mohit; Barman, Rupam
4
2021
Certain eta-quotients and arithmetic density of Andrews’ singular overpartitions. Zbl 1479.05026
Singh, Ajit; Barman, Rupam
4
2021
Higher order moments of generalized quadratic Gauss sums weighted by \(L\)-functions. Zbl 1492.11122
Bag, Nilanjan; Barman, Rupam
3
2021
An improved estimate of the fourth power mean of the general \(3\)-dimensional Kloosterman sum mod \(p\). Zbl 1495.11096
Bag, Nilanjan; Barman, Rupam
1
2021
New density results and congruences for Andrews’ singular overpartitions. Zbl 1473.05026
Singh, Ajit; Barman, Rupam
1
2021
Supercongruences for truncated hypergeometric series and \(p\)-adic gamma function. Zbl 1509.11003
Barman, Rupam; Saikia, Neelam
10
2020
On Andrews’ integer partitions with even parts below odd parts. Zbl 1444.05014
Ray, Chiranjit; Barman, Rupam
8
2020
Appell’s hypergeometric series over finite fields. Zbl 1440.33012
Tripathi, Mohit; Saikia, Neelam; Barman, Rupam
8
2020
Certain product formulas and values of Gaussian hypergeometric series. Zbl 1467.33004
Tripathi, Mohit; Barman, Rupam
7
2020
Arithmetic properties of cubic and overcubic partition pairs. Zbl 1439.05028
Ray, Chiranjit; Barman, Rupam
3
2020
Divisibility of Andrews’ singular overpartitions by powers of 2 and 3. Zbl 1416.05027
Barman, Rupam; Ray, Chiranjit
6
2019
Lehmer’s generalized Euler numbers in hypergeometric functions. Zbl 1418.11036
Barman, Rupam; Komatsu, Takao
3
2019
A finite field analogue of the Appell series \(F_4\). Zbl 1428.33028
Tripathi, Mohit; Barman, Rupam
9
2018
Congruences for \(\ell \)-regular overpartitions and Andrews’ singular overpartitions. Zbl 1379.05005
Barman, Rupam; Ray, Chiranjit
7
2018
Infinite families of congruences for \(k\)-regular overpartitions. Zbl 1465.11199
Ray, Chiranjit; Barman, Rupam
6
2018
Certain character sums and hypergeometric series. Zbl 1442.11162
Barman, Rupam; Saikia, Neelam
2
2018
New congruences for overpartitions into odd parts. Zbl 1455.11138
Ray, Chiranjit; Barman, Rupam
2
2018
Summation identities and transformations for hypergeometric series. Zbl 1451.11053
Barman, Rupam; Saikia, Neelam
1
2018
Counting points on Dwork hypersurfaces and \(p\)-adic hypergeometric functions. Zbl 1418.11102
Barman, Rupam; Rahman, Hasanur; Saikia, Neelam
3
2016
Proof of a limited version of Mao’s partition rank inequality using a theta function identity. Zbl 1415.11139
Barman, Rupam; Sachdeva, Archit Pal Singh
1
2016
Certain transformations for hypergeometric series in the \(p\)-adic setting. Zbl 1365.11121
Barman, Rupam; Saikia, Neelam
7
2015
Summation identities and special values of hypergeometric series in the \(p\)-adic setting. Zbl 1320.11114
Barman, Rupam; Saikia, Neelam; McCarthy, Dermot
7
2015
Hyperelliptic curves over \(\mathbb F_q\) and Gaussian hypergeometric series. Zbl 1425.11128
Barman, Rupam; Kalita, Gautam
6
2015
\(p\)-adic gamma function and the trace of Frobenius of elliptic curves. Zbl 1345.11041
Barman, Rupam; Saikia, Neelam
8
2014
Hyperelliptic curves and values of Gaussian hypergeometric series. Zbl 1323.11044
Barman, Rupam; Kalita, Gautam; Saikia, Neelam
6
2014
On the polynomials \(x^d+ax^i+b\) and \(x^d+ax^{d-i}+b\) over \(\mathbb F_q\) and Gaussian hypergeometric series. Zbl 1372.11112
Barman, Rupam; Saikia, Neelam
5
2014
\(p\)-adic gamma function and the polynomials \(x^d + ax + b\) and \(x^d + ax^{d-1} + b\) over \(\mathbb{F}_q\). Zbl 1296.11075
Barman, Rupam; Saikia, Neelam
4
2014
Elliptic curves and special values of Gaussian hypergeometric series. Zbl 1295.11137
Barman, Rupam; Kalita, Gautam
25
2013
Hypergeometric functions over \(\mathbb F_q\) and traces of Frobenius for elliptic curves. Zbl 1319.11090
Barman, Rupam; Kalita, Gautam
22
2013
On the polynomial \(x^d + ax + b\) over \(\mathbb F_q\) and Gaussian hypergeometric series. Zbl 1306.11050
Barman, Rupam; Kalita, Gautam
7
2013
Another look at Iwasawa \(\lambda\)-invariants of \(p\)-adic measures on \(\mathbb Z_p^n\) and \(\Gamma\)-transforms. Zbl 1276.11172
Barman, Rupam
1
2013
Certain values of Gaussian hypergeometric series and a family of algebraic curves. Zbl 1266.11076
Barman, Rupam; Kalita, Gautam
25
2012
Hypergeometric functions and a family of algebraic curves. Zbl 1264.11054
Barman, Rupam; Kalita, Gautam
16
2012
Iwasawa \(\lambda \)-invariants of \(p\)-adic measures on \(\mathbb Z^n_p\) and their \(\varGamma \)-transforms. Zbl 1276.11195
Barman, Rupam; Saikia, Anupam
2
2012
On \(p\)-adic properties of certain Mahler coefficients. Zbl 1276.11194
Barman, Rupam
1
2011
A note on Iwasawa \(\mu\)-invariants of elliptic curves. Zbl 1244.11060
Barman, Rupam; Saikia, Anupam
4
2010
Iwasawa \(\lambda\)-invariants and \(\Gamma\)-transforms of \(p\)-adic measures on \(\mathbb Z^n_p\). Zbl 1221.11133
Barman, Rupam; Saikia, Anupam
2
2010
Coefficients of a \(p\)-adic measure on \(\mathbb Z^n_p\) and Iwasawa \(\lambda\)-invariant of its \(\Gamma \)-transform. Zbl 1206.11072
Barman, Rupam; Saikia, Anupam
1
2010
Iwasawa \(\lambda\)-invariants and \(\Gamma\)-transforms. Zbl 1241.11126
Saikia, Anupam; Barman, Rupam
1
2009
Certain theta-function identities and Ramanujan’s modular equations of degree 3. Zbl 1114.11040
Baruah, Nayandeep Deka; Barman, Rupam
6
2006
all top 5

Cited by 118 Authors

39 Barman, Rupam
15 Kalita, Gautam
14 Saikia, Neelam
8 Ray, Chiranjit
7 Tripathi, Mohit
5 Chetry, Arjun Singh
4 Baruah, Nayandeep Deka
4 Kumar, Ram
4 McCarthy, Dermot
4 Sadek, Mohammad
3 Antony, Deepa
3 Bag, Nilanjan
3 Fuselier, Jenny G.
3 Jana, Arijit
3 Jindal, Ankita
3 Kewat, Pramod Kumar
3 Komatsu, Takao
3 Long, Ling
3 Meher, Nabin Kumar
3 Tu, Fang-Ting
2 Bhoria, Subhash Chand
2 Bhowmik, Anwita
2 Das, Hirakjyoti
2 El-Sissi, Nermine
2 Evans, Ronald J.
2 Eyyunni, Pramod
2 Fathima, Syeda Noor
2 Gireesh, D. S.
2 Goodson, Heidi
2 Greene, John
2 Maji, Bibekananda
2 Otsubo, Noriyuki
2 Pan, Hao
2 Rojas-León, Antonio
2 Saikia, Anupam
2 Shivashankar, Chandrappa
2 Swisher, Holly
2 Zhang, Wenpeng
1 Azharuddin, Shaik
1 Bai, James Haoyu
1 Bhattacharyya, Subhrajyoti
1 Burson, Hannah E.
1 Chakraborty, Kalyan
1 Chandankumar, Sathyanarayana
1 Chandrappa, Shivashankar
1 Chattopadhyay, Jaitra
1 Chen, Dandan
1 Chen, Rong
1 Chen, Shichao
1 Chen, Yonggao
1 Childress, Nancy
1 Dawsey, Madeline Locus
1 Deines-Schartz, Alyson
1 Fisher, Tom A.
1 Goswami, Ankush
1 Haldar, Anup
1 Hao, Robert X. J.
1 Harishkumar, Thippeswamy
1 Hemanthkumar, B.
1 Hopkins, Brian
1 Ishaini, Uha
1 Ito, Ryojun
1 Jennings-Shaffer, Chris
1 Jha, Abhash Kumar
1 Kaur, Prabh Simrat
1 Kleine, Sören
1 Kumabe, Satoshi
1 Lim, Meng Fai
1 Liu, Jicai
1 Ma, Wu-Xia
1 Mahadeva Naika, Megadahalli Sidda
1 Malmendier, Andreas
1 Mao, Guo-Shuai
1 Meher, Jaban
1 Meleshko, Joseph
1 Miska, Piotr
1 Miyatani, Kazuaki
1 Müller, Katharina
1 Murugan, P.
1 Nakagawa, Akio
1 Nanjundegowda, Harshitha Kempaiahnahundi
1 Nemoto, Yusuke
1 Pal, Ankan
1 Pandey, Ram Krishna
1 Pujahari, Sudhir
1 Rahman, Hasanur
1 Rahman, Riyajur
1 Ramakrishna, Ravi Kumar
1 Ranganna, Vasuki Kaliyur
1 Reihill, Dillon
1 Riasat, Samin
1 Roy, Bidisha
1 Sachdeva, Archit Pal Singh
1 Saha, Apu Kumar
1 Saikia, Nipen
1 Sarmah, Bipul Kumar
1 Sellers, James Allen
1 Senoue, Takato
1 Shallit, Jeffrey Outlaw
1 Shamsi Zargar, Arman
...and 18 more Authors
all top 5

Cited in 39 Serials

17 The Ramanujan Journal
14 International Journal of Number Theory
14 Research in Number Theory
10 Journal of Number Theory
8 Finite Fields and their Applications
6 Journal of the Ramanujan Mathematical Society
5 Acta Arithmetica
4 Proceedings of the American Mathematical Society
4 Integers
3 Bulletin of the Australian Mathematical Society
3 Functiones et Approximatio. Commentarii Mathematici
3 Research in the Mathematical Sciences
2 Archiv der Mathematik
2 Pacific Journal of Mathematics
2 Results in Mathematics
2 The Journal of Analysis
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Canadian Mathematical Bulletin
1 Hiroshima Mathematical Journal
1 Journal of the Korean Mathematical Society
1 Journal für die Reine und Angewandte Mathematik
1 Matematički Vesnik
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal de Théorie des Nombres de Bordeaux
1 The Electronic Journal of Combinatorics
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Annals of Combinatorics
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Annales Mathématiques du Québec
1 AIMS Mathematics
1 Researches in Mathematics
1 La Matematica

Citations by Year