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## Bhargava, Sandeep

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 Author ID: bhargava.sandeep Published as: Bhargava, S.; Bhargava, Sandeep
 Documents Indexed: 70 Publications since 1976, including 1 Book
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#### Co-Authors

 16 single-authored 21 Adiga, Chandrashekar 15 Somashekara, D. D. 5 Berndt, Bruce Carl 5 Mahadeva Naika, Megadahalli Sidda 5 Nanjunda Rao, S. 4 Anitha, N. 4 Fathima, Syeda Noor 3 Vasuki, Kaliyur Ranganna 2 Berg, Chris 2 Bergeron, Nantel 2 Chandrashekar, Adiga 2 Gao, Yun 2 Saliola, Franco V. 1 Bairy, Kurady Sushan 1 Chen, Hongjia 1 Garvan, Frank G. 1 Guruprasad, P. S. 1 Maheshkumar, Mugur Chinna Swamy 1 Mamta, D. 1 Nanjunda, Rao S. 1 Rajanna, Karpenahalli Ranganathappa 1 Rudraiah, Nanjundappa 1 Sreeramamurthy, T. G. 1 Sridharan, Prema 1 Srivatsa Kumar, Belakavadi R. 1 Watson, George Neville 1 Zeng, Ziting
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#### Serials

 9 The Mathematics Student 6 Indian Journal of Pure & Applied Mathematics 6 The Journal of the Indian Mathematical Society. New Series 3 International Journal of Mathematical Education in Science and Technology 3 Journal of Mathematical Analysis and Applications 3 Indian Journal of Mathematics 2 Bulletin of the Australian Mathematical Society 2 Journal of Algebra 2 Journal of Optimization Theory and Applications 2 Proceedings of the Jangjeon Mathematical Society 2 South East Asian Journal of Mathematics and Mathematical Sciences 2 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 American Mathematical Monthly 1 Journal of Mathematical and Physical Sciences 1 Ukrainian Mathematical Journal 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Annales Polonici Mathematici 1 Commentarii Mathematici Universitatis Sancti Pauli 1 The Fibonacci Quarterly 1 Ganita 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Pure and Applied Algebra 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the National Academy of Sciences, India. Section A 1 Tamkang Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 New Zealand Journal of Mathematics 1 Integral Transforms and Special Functions 1 Applied Mechanics and Engineering 1 Taiwanese Journal of Mathematics 1 Asian-European Journal of Mathematics
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#### Fields

 42 Number theory (11-XX) 33 Special functions (33-XX) 12 Combinatorics (05-XX) 9 Functions of a complex variable (30-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 1 Algebraic geometry (14-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 215 times in 14 Documents Cited by Year
Ramanujan’s theories of elliptic functions to alternative bases. Zbl 0843.33012
Berndt, Bruce C.; Bhargava, S.; Garvan, Frank G.
1995
Chapter 16 of Ramanujan’s second notebook: Theta-functions and q-series. Zbl 0565.33002
Adiga, C.; Berndt, Bruce C.; Bhargava, S.; Watson, G. N.
1985
Primitive orthogonal idempotents for $$R$$-trivial monoids. Zbl 1252.20053
Berg, Chris; Bergeron, Nantel; Bhargava, Sandeep; Saliola, Franco
2011
Unification of the cubic analogues of the Jacobian theta-function. Zbl 0843.33007
Bhargava, S.
1995
A new class of modular equations in Ramanujan’s alternative theory of elliptic functions of signature 4 and some new $$P$$-$$Q$$ eta-function identities. Zbl 1053.11037
2003
On some continued fraction identities of Srinivasa Ramanujan. Zbl 0519.10006
1984
A basic bilateral series summation formula and its applications. Zbl 0823.33009
1994
A new class of modular equations akin to Ramanujan’s $$P$$-$$Q$$ eta-function identities and some evaluations there from. Zbl 1038.11027
2002
Some evaluations of Ramanujan’s cubic continued fraction. Zbl 1148.11303
Bhargava, S.; Vasuki, K. R.; Sreeramamurthy, T. G.
2004
On some generalizations of Ramanujan’s continued fraction identities. Zbl 0656.10005
Bhargava, S.; Adiga, Chandrashekar; Somashekara, D. D.
1987
Realizations of $$BC_{r}$$-graded intersection matrix algebras with grading subalgebras of type $$B_{r}, r\geq 3$$. Zbl 1286.17021
Bhargava, Sandeep; Gao, Yun
2013
Ramanujan’s remarkable summation formula as a 2-parameter generalization of the quintuple product identity. Zbl 1019.11029
2002
A basic hypergeometric transformation of Ramanujan and a generalization. Zbl 0596.33005
1986
Some $$q$$-gamma and $$q$$-beta function identities deducible from the reciprocity theorem of Ramanujan. Zbl 1081.33030
Bhargava, S.; Somashekara, D. D.; Fathima, Syeda Noor
2005
On a family of Ramanujan’s formulas for sums of fourth powers. Zbl 0839.11012
Bhargava, S.
1992
Some eta-function identities deducible from Ramanujan’s $$_ 1\Psi_ 1$$ summation. Zbl 0785.11026
Bhargava, S.; Somashekara, D. D.
1993
Ramanujan – for lowbrows. Zbl 0795.11001
Berndt, Bruce C.; Bhargava, S.
1993
Three-square theorem as an application of Andrew’s identity. Zbl 0776.11016
Bhargava, S.; Adiga, Chandrashekar; Somashekara, D. D.
1993
Parity results deducible from certain theta function identities found in Chapter 16 of Ramanujan’s Second Notebook. Zbl 0715.11056
Bhargava, S.; Adiga, Chandrashekar; Somashekara, D. D.
1989
Two generalizations of Ramanujan’s continued fraction identities. Zbl 0567.10004
1985
A family of representations of the Lie superalgebra $$\widehat{\mathfrak{gl}_{1|l-1}}(\mathbb C_q)$$. Zbl 1317.17012
Bhargava, Sandeep; Chen, Hongjia; Gao, Yun
2013
On some Ramanujan identities for the ratios of eta-functions. Zbl 1388.11013
Bhargava, S.; Vasuki, K. R.; Rajanna, K. R.
2015
Representations of an integer as a sum of a square and thrice a square. Zbl 0792.11010
Bhargava, S.; Adiga, Chandrashekar; Somashekara, D. D.
1993
A simple proof of the quintuple product identity. Zbl 0863.05010
Bhargava, S.
1995
Sharp dual estimates for conductance of an optimal circular cooling fin. Zbl 0309.49006
Bhargava, S.
1976
Laurent coefficients for cubic theta functions. Zbl 1070.33020
Bhargava, S.; Fathima, Syeda Noor
2003
Ramanujan’s inversion formulas for the lemniscate and allied functions. Zbl 0763.33005
Berndt, Bruce C.; Bhargava, S.
1991
A remarkable identity found in Ramanujan’s third notebook. Zbl 0760.11010
Berndt, Bruce C.; Bhargava, S.
1992
On a class of functions unifying the classes of Paatero, Robertson and others. Zbl 0648.30012
Bhargava, S.; Nanjunda, Rao S.
1988
Unification of modular transformations for cubic theta functions. Zbl 1070.33021
Bhargava, S.; Fathima, Syeda Noor
2004
Some applications of Ramanujan’s remarkable summation formula. Zbl 1267.11042
Bhargava, S.
2010
A new transformation for basic bilateral hypergeometric series. Zbl 1138.33008
Bhargava, S.; Somashekara, D. D.; Fathima, Syeda Noor
2005
On some Ramanujan identities for the ratios of eta-functions. Zbl 1388.11013
Bhargava, S.; Vasuki, K. R.; Rajanna, K. R.
2015
Realizations of $$BC_{r}$$-graded intersection matrix algebras with grading subalgebras of type $$B_{r}, r\geq 3$$. Zbl 1286.17021
Bhargava, Sandeep; Gao, Yun
2013
A family of representations of the Lie superalgebra $$\widehat{\mathfrak{gl}_{1|l-1}}(\mathbb C_q)$$. Zbl 1317.17012
Bhargava, Sandeep; Chen, Hongjia; Gao, Yun
2013
Primitive orthogonal idempotents for $$R$$-trivial monoids. Zbl 1252.20053
Berg, Chris; Bergeron, Nantel; Bhargava, Sandeep; Saliola, Franco
2011
Some applications of Ramanujan’s remarkable summation formula. Zbl 1267.11042
Bhargava, S.
2010
Some $$q$$-gamma and $$q$$-beta function identities deducible from the reciprocity theorem of Ramanujan. Zbl 1081.33030
Bhargava, S.; Somashekara, D. D.; Fathima, Syeda Noor
2005
A new transformation for basic bilateral hypergeometric series. Zbl 1138.33008
Bhargava, S.; Somashekara, D. D.; Fathima, Syeda Noor
2005
Some evaluations of Ramanujan’s cubic continued fraction. Zbl 1148.11303
Bhargava, S.; Vasuki, K. R.; Sreeramamurthy, T. G.
2004
Unification of modular transformations for cubic theta functions. Zbl 1070.33021
Bhargava, S.; Fathima, Syeda Noor
2004
A new class of modular equations in Ramanujan’s alternative theory of elliptic functions of signature 4 and some new $$P$$-$$Q$$ eta-function identities. Zbl 1053.11037
2003
Laurent coefficients for cubic theta functions. Zbl 1070.33020
Bhargava, S.; Fathima, Syeda Noor
2003
A new class of modular equations akin to Ramanujan’s $$P$$-$$Q$$ eta-function identities and some evaluations there from. Zbl 1038.11027
2002
Ramanujan’s remarkable summation formula as a 2-parameter generalization of the quintuple product identity. Zbl 1019.11029
2002
Ramanujan’s theories of elliptic functions to alternative bases. Zbl 0843.33012
Berndt, Bruce C.; Bhargava, S.; Garvan, Frank G.
1995
Unification of the cubic analogues of the Jacobian theta-function. Zbl 0843.33007
Bhargava, S.
1995
A simple proof of the quintuple product identity. Zbl 0863.05010
Bhargava, S.
1995
A basic bilateral series summation formula and its applications. Zbl 0823.33009
1994
Some eta-function identities deducible from Ramanujan’s $$_ 1\Psi_ 1$$ summation. Zbl 0785.11026
Bhargava, S.; Somashekara, D. D.
1993
Ramanujan – for lowbrows. Zbl 0795.11001
Berndt, Bruce C.; Bhargava, S.
1993
Three-square theorem as an application of Andrew’s identity. Zbl 0776.11016
Bhargava, S.; Adiga, Chandrashekar; Somashekara, D. D.
1993
Representations of an integer as a sum of a square and thrice a square. Zbl 0792.11010
Bhargava, S.; Adiga, Chandrashekar; Somashekara, D. D.
1993
On a family of Ramanujan’s formulas for sums of fourth powers. Zbl 0839.11012
Bhargava, S.
1992
A remarkable identity found in Ramanujan’s third notebook. Zbl 0760.11010
Berndt, Bruce C.; Bhargava, S.
1992
Ramanujan’s inversion formulas for the lemniscate and allied functions. Zbl 0763.33005
Berndt, Bruce C.; Bhargava, S.
1991
Parity results deducible from certain theta function identities found in Chapter 16 of Ramanujan’s Second Notebook. Zbl 0715.11056
Bhargava, S.; Adiga, Chandrashekar; Somashekara, D. D.
1989
On a class of functions unifying the classes of Paatero, Robertson and others. Zbl 0648.30012
Bhargava, S.; Nanjunda, Rao S.
1988
On some generalizations of Ramanujan’s continued fraction identities. Zbl 0656.10005
Bhargava, S.; Adiga, Chandrashekar; Somashekara, D. D.
1987
A basic hypergeometric transformation of Ramanujan and a generalization. Zbl 0596.33005
1986
Chapter 16 of Ramanujan’s second notebook: Theta-functions and q-series. Zbl 0565.33002
Adiga, C.; Berndt, Bruce C.; Bhargava, S.; Watson, G. N.
1985
Two generalizations of Ramanujan’s continued fraction identities. Zbl 0567.10004
1985
On some continued fraction identities of Srinivasa Ramanujan. Zbl 0519.10006
1984
Sharp dual estimates for conductance of an optimal circular cooling fin. Zbl 0309.49006
Bhargava, S.
1976
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#### Cited by 23 Authors

 3 Steinberg, Benjamin 3 Xia, Limeng 2 Gao, Yun 2 Hu, Naihong 1 Ayyer, Arvind 1 Borlido, Célia 1 Cheng, Jin 1 Huang, Jia 1 Ji, Yingdan 1 Jing, Naihuan 1 Johnson, Marianne 1 Kambites, Mark 1 Klee, Steven 1 Luo, Yan Feng 1 Margolis, Stuart W. 1 Masuda, Ariane M. 1 Poznanović, Svetlana 1 Quoos, Luciane 1 Schilling, Anne 1 Shahzamanian, Mohammadhossein 1 Stasikelis, Kara 1 Xu, Chongbin 1 Zeng, Ziting
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#### Cited in 10 Serials

 2 Communications in Algebra 2 International Journal of Algebra and Computation 2 Journal of Algebraic Combinatorics 2 Algebras and Representation Theory 1 Journal of Algebra 1 Theoretical Computer Science 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Sinica. English Series 1 Frontiers of Mathematics in China 1 Open Mathematics
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#### Cited in 9 Fields

 9 Group theory and generalizations (20-XX) 5 Nonassociative rings and algebras (17-XX) 4 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Probability theory and stochastic processes (60-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Convex and discrete geometry (52-XX)