Edit Profile (opens in new tab) Barman, Rupam Co-Author Distance Author ID: 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 all top 5 Co-Authors 2 single-authored 13 Saikia, Neelam 7 Kalita, Gautam 7 Ray, Chiranjit 6 Antony, Deepa 5 Saikia, Anupam 5 Singh, Gurinder Pal 5 Tripathi, Mohit 4 Bhowmik, Anwita 4 Sulakashna 3 Bag, Nilanjan 2 Baruah, Nayandeep Deka 1 Ahmed, Zakir Hussain 1 Bhattacharyya, Subhrajyoti 1 Chattopadhyay, Jaitra 1 Komatsu, Takao 1 McCarthy, Dermot 1 Miska, Piotr 1 Rahman, Hasanur 1 Sachdeva, Archit Pal Singh 1 Saha, Apu Kumar all top 5 Serials 9 Research in Number Theory 7 Journal of Number Theory 7 International Journal of Number Theory 6 The Ramanujan Journal 5 Bulletin of the Australian Mathematical Society 3 Archiv der Mathematik 3 Journal of the Ramanujan Mathematical Society 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of the Korean Mathematical Society 2 Pacific Journal of Mathematics 2 Finite Fields and their Applications 2 Integers 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Arithmetica 1 Indian Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Graphs and Combinatorics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 The Asian Journal of Mathematics 1 Journal of Integer Sequences 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Asian-European Journal of Mathematics 1 Annales Mathématiques du Québec 1 Research in the Mathematical Sciences 1 La Matematica Fields 63 Number theory (11-XX) 26 Special functions (33-XX) 18 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 9 Fields 122 Number theory (11-XX) 62 Special functions (33-XX) 34 Combinatorics (05-XX) 5 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year