## El Bachraoui, Mohamed

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 Author ID: el-bachraoui.mohamed Published as: El Bachraoui, Mohamed; El Bachraoui, M.; Bachraoui, Mohamed El External Links: MGP
 Documents Indexed: 43 Publications since 2002 Reviewing Activity: 21 Reviews Co-Authors: 10 Co-Authors with 15 Joint Publications 435 Co-Co-Authors
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### Co-Authors

 28 single-authored 4 Sándor, József 2 Abo Touk, Sarah 2 Al Houchan, Zina 2 Diene, Adama 2 van de Vel, Marcel L. J. 1 Al Suwaidi, Amna 1 Bremner, Murray R. 1 Griffin, James C. 1 Luca, Florian 1 Salim, Mohamed Ahmed M.
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### Serials

 4 Proceedings of the American Mathematical Society 4 The Ramanujan Journal 4 Integers 3 Journal of Mathematical Analysis and Applications 3 Algebra Universalis 3 Journal of Integer Sequences 3 International Journal of Number Theory 3 Journal of Combinatorics and Number Theory 2 Journal of Number Theory 2 Analysis (München) 2 Contributions to Discrete Mathematics 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Ars Combinatoria 1 The Fibonacci Quarterly 1 Quaestiones Mathematicae 1 Acta Mathematica Sinica. English Series 1 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 International Journal of Contemporary Mathematical Sciences 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Research in Number Theory
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### Fields

 31 Number theory (11-XX) 20 Special functions (33-XX) 8 Combinatorics (05-XX) 4 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX)

### Citations contained in zbMATH Open

23 Publications have been cited 67 times in 40 Documents Cited by Year
Confirming a $$q$$-trigonometric conjecture of Gosper. Zbl 1427.33011
El Bachraoui, Mohamed
2018
Proofs for two $$q$$-trigonometric identities of Gosper. Zbl 1371.33029
Abo Touk, Sarah; Al Houchan, Zina; El Bachraoui, Mohamed
2017
On the Gosper’s $$q$$-constant $$\Pi_q$$. Zbl 1440.11061
El Bachraoui, Mohamed
2018
Primes in the interval $$[2n,3n]$$. Zbl 1154.11303
El Bachraoui, M.
2006
Solving some $$q$$-trigonometric conjectures of Gosper. Zbl 1384.33031
El Bachraoui, Mohamed
2018
On series identities of Gosper and integrals of Ramanujan theta function $$\psi (q)$$. Zbl 1469.33013
El Bachraoui, Mohamed
2019
On supercongruences for truncated sums of squares of basic hypergeometric series. Zbl 1473.11002
El Bachraoui, Mohamed
2021
Proving some identities of Gosper on $$q$$-trigonometric functions. Zbl 1462.33007
El Bachraoui, Mohamed
2019
On relatively prime subsets, combinatorial identities, and Diophantine equations. Zbl 1291.11008
El Bachraoui, Mohamed
2012
Relatively prime partitions with two and three parts. Zbl 1234.11137
El Bachraoui, Mohamed
2009
On the semigroup algebra of binary relations. Zbl 1213.20064
Bremner, Murray R.; El Bachraoui, Mohamed
2010
On a theta product of Jacobi and its applications to $$q$$-gamma products. Zbl 1445.11013
El Bachraoui, Mohamed; Sándor, József
2019
On the parity of $$p(n,3)$$ and $$p_\Psi(n,3)$$. Zbl 1339.11086
El Bachraoui, Mohamed
2010
On the number of subsets of $$[1,m]$$ relatively prime to $$n$$ and asymptotic estimates. Zbl 1196.11010
El Bachraoui, Mohamed
2008
Matrix relation algebras. Zbl 1058.03073
El Bachraoui, M.; van de Vel, M.
2002
Degree of matrix relation algebras. Zbl 1058.03074
El Bachraoui, M.; van de Vel, M.
2002
Arithmetic sums of Liouville type over relatively prime pairs. Zbl 1272.11010
El Bachraoui, Mohamed
2012
Convolution over Lie and Jordan algebras. Zbl 1132.16026
El Bachraoui, M.
2006
Combinatorial identities involving the Möbius function. Zbl 1252.11003
El Bachraoui, Mohamed; Salim, Mohamed
2010
On $$q$$-Raabe integral and some extensions. Zbl 1434.33022
Bachraoui, Mohamed El; Sándor, József
2020
Some new sums of $$q$$-trigonometric and related functions through a theta product of Jacobi. Zbl 1453.11095
Bachraoui, Mohamed El; Sándor, József
2020
New divisibility results related to binomial coefficients. Zbl 1434.11051
Al Suwaidi, Amna; El Bachraoui, Mohamed
2017
Short proofs for $$q$$-Raabe formula and integrals for Jacobi theta functions. Zbl 1354.33011
El Bachraoui, Mohamed
2017
On supercongruences for truncated sums of squares of basic hypergeometric series. Zbl 1473.11002
El Bachraoui, Mohamed
2021
On $$q$$-Raabe integral and some extensions. Zbl 1434.33022
Bachraoui, Mohamed El; Sándor, József
2020
Some new sums of $$q$$-trigonometric and related functions through a theta product of Jacobi. Zbl 1453.11095
Bachraoui, Mohamed El; Sándor, József
2020
On series identities of Gosper and integrals of Ramanujan theta function $$\psi (q)$$. Zbl 1469.33013
El Bachraoui, Mohamed
2019
Proving some identities of Gosper on $$q$$-trigonometric functions. Zbl 1462.33007
El Bachraoui, Mohamed
2019
On a theta product of Jacobi and its applications to $$q$$-gamma products. Zbl 1445.11013
El Bachraoui, Mohamed; Sándor, József
2019
Confirming a $$q$$-trigonometric conjecture of Gosper. Zbl 1427.33011
El Bachraoui, Mohamed
2018
On the Gosper’s $$q$$-constant $$\Pi_q$$. Zbl 1440.11061
El Bachraoui, Mohamed
2018
Solving some $$q$$-trigonometric conjectures of Gosper. Zbl 1384.33031
El Bachraoui, Mohamed
2018
Proofs for two $$q$$-trigonometric identities of Gosper. Zbl 1371.33029
Abo Touk, Sarah; Al Houchan, Zina; El Bachraoui, Mohamed
2017
New divisibility results related to binomial coefficients. Zbl 1434.11051
Al Suwaidi, Amna; El Bachraoui, Mohamed
2017
Short proofs for $$q$$-Raabe formula and integrals for Jacobi theta functions. Zbl 1354.33011
El Bachraoui, Mohamed
2017
On relatively prime subsets, combinatorial identities, and Diophantine equations. Zbl 1291.11008
El Bachraoui, Mohamed
2012
Arithmetic sums of Liouville type over relatively prime pairs. Zbl 1272.11010
El Bachraoui, Mohamed
2012
On the semigroup algebra of binary relations. Zbl 1213.20064
Bremner, Murray R.; El Bachraoui, Mohamed
2010
On the parity of $$p(n,3)$$ and $$p_\Psi(n,3)$$. Zbl 1339.11086
El Bachraoui, Mohamed
2010
Combinatorial identities involving the Möbius function. Zbl 1252.11003
El Bachraoui, Mohamed; Salim, Mohamed
2010
Relatively prime partitions with two and three parts. Zbl 1234.11137
El Bachraoui, Mohamed
2009
On the number of subsets of $$[1,m]$$ relatively prime to $$n$$ and asymptotic estimates. Zbl 1196.11010
El Bachraoui, Mohamed
2008
Primes in the interval $$[2n,3n]$$. Zbl 1154.11303
El Bachraoui, M.
2006
Convolution over Lie and Jordan algebras. Zbl 1132.16026
El Bachraoui, M.
2006
Matrix relation algebras. Zbl 1058.03073
El Bachraoui, M.; van de Vel, M.
2002
Degree of matrix relation algebras. Zbl 1058.03074
El Bachraoui, M.; van de Vel, M.
2002
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### Cited by 36 Authors

 12 El Bachraoui, Mohamed 3 Sándor, József 2 Abo Touk, Sarah 2 Al Houchan, Zina 2 Bubboloni, Daniela 2 Guo, Victor J. W. 2 He, Bing 2 Zhai, Hongcun 1 Baker, Alan Richard 1 Bouc, Serge 1 Bremner, Murray R. 1 Christopher, A. David 1 Ge, Fan 1 He, Fuli 1 Jiang, Xue-Ting 1 Kim, Seog-Jin 1 Luca, Florian 1 Nanjundegowda, Harshitha Kempaiahnahundi 1 Nourouzi, Kourosh 1 Park, Boram 1 Pongsriiam, Prapanpong 1 Popescu, Andrei 1 Praeger, Cheryl Elisabeth 1 Ranganna, Vasuki Kaliyur 1 Reza, Ali 1 Song, Hanfei 1 Spiga, Pablo 1 Sun, Zhi-Wei 1 Thévenaz, Jacques 1 Tracey, Gareth M. 1 Tuxanidy, Aleksandr 1 Varada, Yathirajsharma Mudumbai 1 Wakhare, Tanay V. 1 Wang, Chun 1 Wang, Liuquan 1 Wang, Qiang (Steven)
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### Cited in 24 Serials

 5 Journal of Mathematical Analysis and Applications 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Number Theory 3 Proceedings of the American Mathematical Society 3 International Journal of Number Theory 2 Results in Mathematics 2 Advances in Applied Mathematics 1 Discrete Mathematics 1 Hiroshima Mathematical Journal 1 Journal of Algebra 1 Monatshefte für Mathematik 1 Studia Logica 1 Synthese 1 Bulletin of the Iranian Mathematical Society 1 Linear Algebra and its Applications 1 The Ramanujan Journal 1 Analysis (München) 1 Acta Mathematica Sinica. English Series 1 Integers 1 Mediterranean Journal of Mathematics 1 Cryptography and Communications 1 Science China. Mathematics 1 Research in Number Theory 1 Journal of Combinatorial Algebra
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### Cited in 14 Fields

 28 Number theory (11-XX) 21 Special functions (33-XX) 6 Combinatorics (05-XX) 4 Group theory and generalizations (20-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)