Edit Profile (opens in new tab) Bayad, Abdelmejid Co-Author Distance Author ID: bayad.abdelmejid Published as: Bayad, Abdelmejid; Bayad, A. Documents Indexed: 101 Publications since 1995, including 1 Additional arXiv Preprint Co-Authors: 62 Co-Authors with 86 Joint Publications 1,647 Co-Co-Authors all top 5 Co-Authors 13 single-authored 12 Kim, Taekyun 8 Hamahata, Yoshinori 8 Kim, Daeyeoul 8 Simsek, Yilmaz 5 Raouj, Abdelaziz 4 Chikhi, Jamel 4 Gaboury, Sébastien 4 Hernane, Mohand-Ouamar 4 Lokesha, V. 4 Rim, Seog-Hoon 3 Goubi, Mouloud 3 Hajli, Mounir 3 Kim, Young Hee 3 Robert, Gilles F. 3 Seddik, Mohammed 3 Togbé, Alain 2 Adiga, Chandrashekar 2 Ayad, Mohamed 2 Beck, Matthias 2 Filipin, Alan 2 Kihel, Omar 2 Komatsu, Takao 2 Lee, Sang Hun 2 Navas, Luis M. 2 Ranjini, P. S. 2 Srivastava, Hari Mohan 1 Ahn, Hyungyu 1 Atmani, Sofiane 1 Auli, Juan S. 1 Aygunes, Aykut Ahmed 1 Aygunes, Aykut Ahmet 1 Bindusree, A. R. 1 Bley, Werner 1 Bousalmi, Belhout 1 Cangul, Ismail Naci 1 Cassou-Noguès, Philippe 1 Choi, Jongsung 1 Dasappa, Ranganatha 1 Derbal, Abdallah 1 Dolgiĭ, Dmitriĭ Viktorovich 1 Dossavi-Yovo, Appolinaire 1 Gómez Ayala, Jesús 1 İkikardes, Nazli Yildiz 1 Jang, Lee-Chae 1 Jin, Joung Hee 1 Khattou, Chouaib 1 Kim, Dae San 1 Kim, WongJu 1 Kucukoglu, Irem 1 Kumar B, Naveen 1 Lee, Byungje 1 Lee, Sunjung 1 Li, Yan 1 Moon, Eun Jung 1 Murthy, K. Narasimha 1 Nagaraja, K. M. 1 Park, Joongsoo 1 Park, Sanghoon 1 Saraj, Mansour 1 Shetty, B. Shwetha 1 Shrikanth, A. S. 1 Somashekara, D. D. all top 5 Serials 9 Advanced Studies in Contemporary Mathematics (Kyungshang) 8 Journal of Number Theory 5 Mathematical Methods in the Applied Sciences 4 Russian Journal of Mathematical Physics 4 Applicable Analysis and Discrete Mathematics 3 Rocky Mountain Journal of Mathematics 3 Acta Arithmetica 3 Annales de l’Institut Fourier 3 Applied Mathematics and Computation 3 Abstract and Applied Analysis 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Proceedings of the Jangjeon Mathematical Society 3 Fixed Point Theory and Applications 3 International Journal of Number Theory 2 Mathematics of Computation 2 Functiones et Approximatio. Commentarii Mathematici 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Journal de Théorie des Nombres de Bordeaux 2 Integral Transforms and Special Functions 2 The Ramanujan Journal 2 Journal of Computational Analysis and Applications 2 Advances in Difference Equations 2 International Journal of Algebra 1 Ars Combinatoria 1 Bulletin de la Société Mathématique de France 1 Journal of Algebra 1 Journal of the Korean Mathematical Society 1 The Journal of the Indian Academy of Mathematics 1 Hardy-Ramanujan Journal 1 Acta Mathematica Hungarica 1 Experimental Mathematics 1 Kyushu Journal of Mathematics 1 Filomat 1 Finite Fields and their Applications 1 Notes on Number Theory and Discrete Mathematics 1 Differential Equations and Dynamical Systems 1 Honam Mathematical Journal 1 Journal of Inequalities and Applications 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Integer Sequences 1 Mediterranean Journal of Mathematics 1 International Mathematical Forum 1 International Journal of Contemporary Mathematical Sciences 1 Journal of Algebra, Number Theory: Advances and Applications 1 Journal of Applied Mathematics & Informatics 1 Mathematica Æterna 1 Mathematics 1 Open Mathematics all top 5 Fields 90 Number theory (11-XX) 12 Special functions (33-XX) 9 Combinatorics (05-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Field theory and polynomials (12-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 2 Sequences, series, summability (40-XX) 2 Probability theory and stochastic processes (60-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 550 times in 407 Documents Cited by ▼ Year ▼ Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials. Zbl 1256.11013 Bayad, A.; Kim, Taekyun 54 2011 Polylogarithms and poly-Bernoulli polynomials. Zbl 1268.11030 Bayad, Abdelmejid; Hamahata, Yoshinori 51 2011 Modular properties of elliptic Bernoulli and Euler functions. Zbl 1278.11021 Bayad, Abdelmejid 29 2010 Identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials. Zbl 1209.11025 Bayad, Abdelmejid; Kim, Taekyun 24 2010 Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. Zbl 1267.11016 Bayad, A. 21 2011 \(q\)-Bernstein polynomials related to \(q\)-Frobenius-Euler polynomials, \(l\)-functions, and \(q\)-Stirling numbers. Zbl 1262.11039 Simsek, Yilmaz; Bayad, Abdelmejid; Lokesha, V. 18 2012 Some array type polynomials associated with special numbers and polynomials. Zbl 1335.33003 Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M. 18 2014 Arakawa-Kaneko \(L\)-functions and generalized poly-Bernoulli polynomials. Zbl 1262.11021 Bayad, Abdelmejid; Hamahata, Yoshinori 17 2011 Higher recurrences for Apostol-Bernoulli-Euler numbers. Zbl 1248.11015 Bayad, A.; Kim, T. 16 2012 Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018 Bayad, Abdelmejid; Beck, Matthias 15 2014 Identities for Apostol-type Frobenius-Euler polynomials resulting from the study of a nonlinear operator. Zbl 1350.11029 Bayad, A.; Kim, T. 13 2016 Convolution identities for twisted Eisenstein series and twisted divisor functions. Zbl 1367.11012 Kim, Daeyeoul; Bayad, Abdelmejid 12 2013 Apostol-Euler polynomials and asymptotics for negative binomial reciprocals. Zbl 1317.11026 Bayad, A.; Chikhi, J. 12 2014 Higher dimensional Dedekind sums in function fields. Zbl 1301.11047 Bayad, Abdelmejid; Hamahata, Yoshinori 11 2012 Multiple polylogarithms and multi-poly-Bernoulli polynomials. Zbl 1333.11015 Bayad, Abdelmejid; Hamahata, Yoshinori 11 2012 Reduction and duality of the generalized Hurwitz-Lerch zetas. Zbl 1293.11091 Bayad, Abdelmejid; Chikhi, Jamel 11 2013 Arithmetical properties of elliptic Bernoulli and Euler numbers. Zbl 1247.11057 Bayad, Abdelmejid 10 2010 Arithmetic of higher dimensional Dedekind-Rademacher sums. Zbl 1247.11058 Bayad, Abdelmejid; Raouj, Abdelaziz 10 2012 \(k\)-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials. Zbl 1404.05010 Kucukoglu, Irem; Bayad, Abdelmejid; Simsek, Yilmaz 9 2017 Mean values of \(L\)-functions and Dedekind sums. Zbl 1309.11032 Bayad, Abdelmejid; Raouj, Abdelaziz 8 2012 A new construction on the \(q\)-Bernoulli polynomials. Zbl 1278.11025 Rim, Seog-Hoon; Bayad, Abdelmejid; Moon, Eun-Jung; Jin, Joung-Hee; Lee, Sun-Jung 8 2011 Sommes de Dedekind elliptiques et formes de Jacobi. (Elliptic Dedekind sums and Jacobi forms). Zbl 1034.11030 Bayad, Abdelmejid 7 2001 Note on a meromorphic Jacobi form. (Note sur une forme de Jacobi méromorphe.) Zbl 0885.11035 Bayad, Abdelmejid; Robert, Gilles 7 1997 Results on values of Barnes polynomials. Zbl 1345.11013 Bayad, Abdelmejid; Kim, Taekyun 7 2013 Non linear recurrences for Apostol-Bernoulli-Euler numbers of higher order. Zbl 1318.11025 Bayad, Abdelmejid; Chikhi, Jamel 6 2012 A study on the \(p\)-adic \(q\)-integral representation on \(\mathbb Z_{p}\) associated with the weighted \(q\)-Bernstein and \(q\)-Bernoulli polynomials. Zbl 1221.11230 Kim, T.; Bayad, A.; Kim, Y.-H. 6 2011 Dedekind sums involving Jacobi modular forms and special values of Barnes zeta functions. (Sommes de Dedekind liées aux formes modulaires de Jacobi et aux valeurs spéciales des fonctions zêta de Barnes.) Zbl 1279.11044 Bayad, Abdelmejid; Simsek, Yilmaz 6 2011 Möbius inversion formulae for Apostol-Bernoulli type polynomials and numbers. Zbl 1276.11029 Bayad, A.; Chikhi, J. 6 2013 Some identities on Bernstein polynomials associated with \(q\)-Euler polynomials. Zbl 1234.11024 Bayad, A.; Kim, T.; Lee, B.; Rim, S.-H. 5 2011 Improvement of a congruence for certain quadratic Stickelberger elements. (Amélioration d’une congruence pour certains éléments de Stickelberger quadratiques.) Zbl 0895.11021 Bayad, Abdelmejid; Robert, Gilles 5 1997 Multiple elliptic Apostol-Dedekind-Zagier sums. (Sommes elliptiques multiples d’Apostol-Dedekind-Zagier.) Zbl 1099.11026 Bayad, Abdelmejid 5 2004 The minimal polynomial of \(2 \cos(\pi /q)\) and Dickson polynomials. Zbl 1270.11021 Bayad, Abdelmejid; Cangül, Ismail Naci 5 2012 Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus. Zbl 1343.11078 Srivastava, Hari M.; Gaboury, Sébastien; Bayad, Abdelmejid 5 2014 On the multidimensional zeta functions associated with theta functions, and the multidimensional Appell polynomials. Zbl 1469.11337 Bayad, Abdelmejid; Hajli, Mounir 5 2020 Values of twisted Barnes zeta functions at negative integers. Zbl 1276.11145 Bayad, A.; Simsek, Y. 5 2013 Special values of Lerch zeta function and their Fourier expansions. Zbl 1243.11090 Bayad, Abdelmejid 4 2011 Arithmetic sums and Stickelberger elements. (Sommes arithmétiques et éléments de Stickelberger.) Zbl 0863.11074 Bayad, A.; Bley, W.; Cassou-Noguès, Ph. 4 1996 Extension of a parametric family of Diophantine triples in Gaussian integers. Zbl 1374.11042 Bayad, A.; Filipin, A.; Togbé, A. 4 2016 Euler polynomials and combinatoric convolution sums of divisor functions with even indices. Zbl 1420.11012 Kim, Daeyeoul; Bayad, Abdelmejid; Park, Joongsoo 4 2014 Identities on the Bernoulli and the Euler numbers and polynomials. Zbl 1289.11019 Kim, Taekyun; Kim, Dae San; Bayad, Abdelmejid; Rim, Seog-Hoon 4 2012 Arithmetic properties of \(q\)-Barnes polynomials. Zbl 1287.11027 Bayad, A.; Kim, Taekyun; Kim, W. J.; Lee, S. H. 4 2013 Reciprocity formulae for multiple Dedekind-Rademacher sums. Zbl 1230.11051 Bayad, Abdelmejid; Raouj, Abdelaziz 3 2011 Higher dimensional Dedekind sums in finite fields. Zbl 1271.11049 Bayad, Abdelmejid; Hamahata, Yoshinori 3 2012 Reciprocity theorems for Bettin-Conrey sums. Zbl 1422.11088 Auli, Juan S.; Bayad, Abdelmejid; Beck, Matthias 3 2017 Multiple Dedekind-Rademacher sums in finite fields. Zbl 1316.11030 Bayad, Abdelmejid; Hamahata, Yoshinori 3 2014 Polygon numbers associated with the sum of odd divisors function. Zbl 1429.11006 Kim, Daeyeoul; Bayad, Abdelmejid 3 2017 New characterization of Appell polynomials. Zbl 1366.33010 Bayad, Abdelmejid; Komatsu, Takao 3 2017 Reciprocity formulae for generalized Dedekind-Vasyunin-Cotangent sums. Zbl 1437.11059 Bayad, Abdelmejid; Goubi, Mouloud 3 2019 Hecke operators and generalized Bernoulli-Euler polynomials. Zbl 1221.11055 Bayad, Abdelmejid; Aygünes, Aykut Ahmet; Simsek, Yilmaz 3 2010 A comparative study of topological indices and molecular weight of some carbohydrates. Zbl 1310.92067 Shetty, B. Shwetha; Lokesha, V.; Bayad, A.; Ranjini, P. S. 3 2012 On values of Jacobi forms and elliptic Dedekind sums. Zbl 1215.11044 Bayad, Abdelmejid 2 2009 On extended Eulerian numbers. Zbl 1416.11036 Bayad, Abdelmejid; Hernane, Mohand Ouamar; Togbé, Alain 2 2016 Applications to elliptic Apostol-Dedekind-Zagier sums. (Applications aux sommes elliptiques d’Apostol-Dedekind-Zagier.) Zbl 1099.11025 Bayad, Abdelmejid 2 2004 Multiple Dedekind-Rademacher sums in function fields. Zbl 1303.11049 Bayad, Abdelmejid; Hamahata, Yoshinori 2 2014 Further expansion formulas for a class of generalized Hurwitz-Lerch zeta functions obtained by means of a new Leibniz rule for fractional derivatives. Zbl 1352.11083 Gaboury, S.; Bayad, A. 2 2015 Zeta functions interpolating the convolution of the Bernoulli polynomials. Zbl 1440.11024 Bayad, Abdelmejid; Komatsu, Takao 2 2018 Index, the prime ideal factorization in simplest quartic fields and counting their discriminants. Zbl 1499.11314 Bayad, Abdelmejid; Seddik, Mohammed 2 2020 Reciprocity formulae for general multiple Dedekind–Rademacher sums and enumeration of lattice points. Zbl 1252.11041 Bayad, Abdelmejid; Raouj, Abdelaziz 2 2010 Explicit and asymptotic formulae for Vasyunin-cotangent sums. Zbl 1499.11158 Goubi, Mouloud; Bayad, Abdelmejid; Hernane, Mohand Ouamar 2 2017 Algebraic properties and Fourier expansions of two-dimensional Apostol-Bernoulli and Apostol-Euler polynomials. Zbl 1410.33025 Bayad, Abdelmejid; Navas, Luis 2 2015 Relation connecting Zagreb co-indices on three graph operators. Zbl 1288.05108 Bindusree, A. R.; Lokesha, V.; Ranjini, P. S.; Bayad, A. 2 2013 Series representations at special values of generalized Hurwitz-Lerch zeta function. Zbl 1470.11229 Gaboury, S.; Bayad, A. 2 2013 Loi de réciprocité quadratique dans les corps quadratiques imaginaires. (Quadratic reciprocity law in imaginary quadratic number fields). Zbl 0843.11047 Bayad, Abdelmejid 1 1995 A note on the generalized Bernstein polynomials. Zbl 1228.60025 Dolgy, D. V.; Bayad, A.; Kim, T; Lee, S. H. 1 2011 On the symmetry properties of the generalized higher-order Euler polynomials. Zbl 1266.11036 Bayad, Abdelmejid; Kim, Taekyun; Choi, Jongsung; Kim, Young-Hee; Lee, Byungje 1 2011 On the extensibility of the \(D(4)\)-triple \(\{k-2,k+2,4k\}\) over Gaussian integers. Zbl 1397.11069 Bayad, Abdelmejid; Dossavi-Yovo, Appolinaire; Filipin, Alan; Togbé, Alain 1 2017 Jacobi form and distribution formulas. (Formes de Jacobi et formules de distribution.) Zbl 1073.11032 Bayad, Abdelmejid; Gómez Ayala, Jesús 1 2004 \(q\)-adic valuation and additive distribution relation for certain \(q\)-periodic functions. (Valuation \(q\)-adique et relation de distribution additive pour certaines fonctions \(q\)-périodiques.) Zbl 0924.11047 Bayad, Abdelmejid 1 1997 Convolution identities on the Apostol-Hermite base of two variables polynomials. Zbl 1296.33016 Bayad, Abdelmejid; Simsek, Yilmaz 1 2014 New means and its properties. Zbl 1218.26034 Lokesha, V.; Kumar B, Naveen; Nagaraja, K. M.; Bayad, Abdelmejid; Saraj, M. 1 2010 Möbius inversion formulas related to the Fourier expansions of two-dimensional Apostol-Bernoulli polynomials. Zbl 1404.11022 Bayad, Abdelmejid; Navas, Luis 1 2016 Denominators of algebraic numbers in a number field. Zbl 1331.11089 Ayad, Mohamed; Bayad, Abdelmejid; Kihel, Omar 1 2015 The Jacobi form \(D_L\), theta functions, and Eisenstein series. Zbl 1416.11064 Bayad, Abdelmejid; Robert, Gilles 1 2016 Iterated stable numbers and iterated amicable pairs. Zbl 1475.11006 Kim, Daeyeoul; Bayad, Abdelmejid; Park, Sang-Hoon 1 2021 Arithmetical properties of double Möbius-Bernoulli numbers. Zbl 1423.11046 Bayad, Abdelmejid; Kim, Daeyeoul; Li, Yan 1 2019 Mean values of products of \(L\)-functions and Bernoulli polynomials. Zbl 1425.11034 Bayad, Abdelmejid; Kim, Daeyeoul 1 2018 Some new congruences for \((s,t)\)-regular bipartition functions. Zbl 1474.11176 Adiga, Chandrashekar; Bayad, Abdelmejid; Dasappa, Ranganatha 1 2019 Generalized Dirichlet \(L\)-function of arbitrary order with applications. Zbl 1342.11076 Bayad, A.; Gaboury, S. 1 2013 Proof of the Möbius conjecture revisited. Zbl 1297.11004 Bayad, Abdelmejid; Goubi, M. 1 2013 Iterated stable numbers and iterated amicable pairs. Zbl 1475.11006 Kim, Daeyeoul; Bayad, Abdelmejid; Park, Sang-Hoon 1 2021 On the multidimensional zeta functions associated with theta functions, and the multidimensional Appell polynomials. Zbl 1469.11337 Bayad, Abdelmejid; Hajli, Mounir 5 2020 Index, the prime ideal factorization in simplest quartic fields and counting their discriminants. Zbl 1499.11314 Bayad, Abdelmejid; Seddik, Mohammed 2 2020 Reciprocity formulae for generalized Dedekind-Vasyunin-Cotangent sums. Zbl 1437.11059 Bayad, Abdelmejid; Goubi, Mouloud 3 2019 Arithmetical properties of double Möbius-Bernoulli numbers. Zbl 1423.11046 Bayad, Abdelmejid; Kim, Daeyeoul; Li, Yan 1 2019 Some new congruences for \((s,t)\)-regular bipartition functions. Zbl 1474.11176 Adiga, Chandrashekar; Bayad, Abdelmejid; Dasappa, Ranganatha 1 2019 Zeta functions interpolating the convolution of the Bernoulli polynomials. Zbl 1440.11024 Bayad, Abdelmejid; Komatsu, Takao 2 2018 Mean values of products of \(L\)-functions and Bernoulli polynomials. Zbl 1425.11034 Bayad, Abdelmejid; Kim, Daeyeoul 1 2018 \(k\)-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials. Zbl 1404.05010 Kucukoglu, Irem; Bayad, Abdelmejid; Simsek, Yilmaz 9 2017 Reciprocity theorems for Bettin-Conrey sums. Zbl 1422.11088 Auli, Juan S.; Bayad, Abdelmejid; Beck, Matthias 3 2017 Polygon numbers associated with the sum of odd divisors function. Zbl 1429.11006 Kim, Daeyeoul; Bayad, Abdelmejid 3 2017 New characterization of Appell polynomials. Zbl 1366.33010 Bayad, Abdelmejid; Komatsu, Takao 3 2017 Explicit and asymptotic formulae for Vasyunin-cotangent sums. Zbl 1499.11158 Goubi, Mouloud; Bayad, Abdelmejid; Hernane, Mohand Ouamar 2 2017 On the extensibility of the \(D(4)\)-triple \(\{k-2,k+2,4k\}\) over Gaussian integers. Zbl 1397.11069 Bayad, Abdelmejid; Dossavi-Yovo, Appolinaire; Filipin, Alan; Togbé, Alain 1 2017 Identities for Apostol-type Frobenius-Euler polynomials resulting from the study of a nonlinear operator. Zbl 1350.11029 Bayad, A.; Kim, T. 13 2016 Extension of a parametric family of Diophantine triples in Gaussian integers. Zbl 1374.11042 Bayad, A.; Filipin, A.; Togbé, A. 4 2016 On extended Eulerian numbers. Zbl 1416.11036 Bayad, Abdelmejid; Hernane, Mohand Ouamar; Togbé, Alain 2 2016 Möbius inversion formulas related to the Fourier expansions of two-dimensional Apostol-Bernoulli polynomials. Zbl 1404.11022 Bayad, Abdelmejid; Navas, Luis 1 2016 The Jacobi form \(D_L\), theta functions, and Eisenstein series. Zbl 1416.11064 Bayad, Abdelmejid; Robert, Gilles 1 2016 Further expansion formulas for a class of generalized Hurwitz-Lerch zeta functions obtained by means of a new Leibniz rule for fractional derivatives. Zbl 1352.11083 Gaboury, S.; Bayad, A. 2 2015 Algebraic properties and Fourier expansions of two-dimensional Apostol-Bernoulli and Apostol-Euler polynomials. Zbl 1410.33025 Bayad, Abdelmejid; Navas, Luis 2 2015 Denominators of algebraic numbers in a number field. Zbl 1331.11089 Ayad, Mohamed; Bayad, Abdelmejid; Kihel, Omar 1 2015 Some array type polynomials associated with special numbers and polynomials. Zbl 1335.33003 Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M. 18 2014 Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018 Bayad, Abdelmejid; Beck, Matthias 15 2014 Apostol-Euler polynomials and asymptotics for negative binomial reciprocals. Zbl 1317.11026 Bayad, A.; Chikhi, J. 12 2014 Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus. Zbl 1343.11078 Srivastava, Hari M.; Gaboury, Sébastien; Bayad, Abdelmejid 5 2014 Euler polynomials and combinatoric convolution sums of divisor functions with even indices. Zbl 1420.11012 Kim, Daeyeoul; Bayad, Abdelmejid; Park, Joongsoo 4 2014 Multiple Dedekind-Rademacher sums in finite fields. Zbl 1316.11030 Bayad, Abdelmejid; Hamahata, Yoshinori 3 2014 Multiple Dedekind-Rademacher sums in function fields. Zbl 1303.11049 Bayad, Abdelmejid; Hamahata, Yoshinori 2 2014 Convolution identities on the Apostol-Hermite base of two variables polynomials. Zbl 1296.33016 Bayad, Abdelmejid; Simsek, Yilmaz 1 2014 Convolution identities for twisted Eisenstein series and twisted divisor functions. Zbl 1367.11012 Kim, Daeyeoul; Bayad, Abdelmejid 12 2013 Reduction and duality of the generalized Hurwitz-Lerch zetas. Zbl 1293.11091 Bayad, Abdelmejid; Chikhi, Jamel 11 2013 Results on values of Barnes polynomials. Zbl 1345.11013 Bayad, Abdelmejid; Kim, Taekyun 7 2013 Möbius inversion formulae for Apostol-Bernoulli type polynomials and numbers. Zbl 1276.11029 Bayad, A.; Chikhi, J. 6 2013 Values of twisted Barnes zeta functions at negative integers. Zbl 1276.11145 Bayad, A.; Simsek, Y. 5 2013 Arithmetic properties of \(q\)-Barnes polynomials. Zbl 1287.11027 Bayad, A.; Kim, Taekyun; Kim, W. J.; Lee, S. H. 4 2013 Relation connecting Zagreb co-indices on three graph operators. Zbl 1288.05108 Bindusree, A. R.; Lokesha, V.; Ranjini, P. S.; Bayad, A. 2 2013 Series representations at special values of generalized Hurwitz-Lerch zeta function. Zbl 1470.11229 Gaboury, S.; Bayad, A. 2 2013 Generalized Dirichlet \(L\)-function of arbitrary order with applications. Zbl 1342.11076 Bayad, A.; Gaboury, S. 1 2013 Proof of the Möbius conjecture revisited. Zbl 1297.11004 Bayad, Abdelmejid; Goubi, M. 1 2013 \(q\)-Bernstein polynomials related to \(q\)-Frobenius-Euler polynomials, \(l\)-functions, and \(q\)-Stirling numbers. Zbl 1262.11039 Simsek, Yilmaz; Bayad, Abdelmejid; Lokesha, V. 18 2012 Higher recurrences for Apostol-Bernoulli-Euler numbers. Zbl 1248.11015 Bayad, A.; Kim, T. 16 2012 Higher dimensional Dedekind sums in function fields. Zbl 1301.11047 Bayad, Abdelmejid; Hamahata, Yoshinori 11 2012 Multiple polylogarithms and multi-poly-Bernoulli polynomials. Zbl 1333.11015 Bayad, Abdelmejid; Hamahata, Yoshinori 11 2012 Arithmetic of higher dimensional Dedekind-Rademacher sums. Zbl 1247.11058 Bayad, Abdelmejid; Raouj, Abdelaziz 10 2012 Mean values of \(L\)-functions and Dedekind sums. Zbl 1309.11032 Bayad, Abdelmejid; Raouj, Abdelaziz 8 2012 Non linear recurrences for Apostol-Bernoulli-Euler numbers of higher order. Zbl 1318.11025 Bayad, Abdelmejid; Chikhi, Jamel 6 2012 The minimal polynomial of \(2 \cos(\pi /q)\) and Dickson polynomials. Zbl 1270.11021 Bayad, Abdelmejid; Cangül, Ismail Naci 5 2012 Identities on the Bernoulli and the Euler numbers and polynomials. Zbl 1289.11019 Kim, Taekyun; Kim, Dae San; Bayad, Abdelmejid; Rim, Seog-Hoon 4 2012 Higher dimensional Dedekind sums in finite fields. Zbl 1271.11049 Bayad, Abdelmejid; Hamahata, Yoshinori 3 2012 A comparative study of topological indices and molecular weight of some carbohydrates. Zbl 1310.92067 Shetty, B. Shwetha; Lokesha, V.; Bayad, A.; Ranjini, P. S. 3 2012 Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials. Zbl 1256.11013 Bayad, A.; Kim, Taekyun 54 2011 Polylogarithms and poly-Bernoulli polynomials. Zbl 1268.11030 Bayad, Abdelmejid; Hamahata, Yoshinori 51 2011 Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. Zbl 1267.11016 Bayad, A. 21 2011 Arakawa-Kaneko \(L\)-functions and generalized poly-Bernoulli polynomials. Zbl 1262.11021 Bayad, Abdelmejid; Hamahata, Yoshinori 17 2011 A new construction on the \(q\)-Bernoulli polynomials. Zbl 1278.11025 Rim, Seog-Hoon; Bayad, Abdelmejid; Moon, Eun-Jung; Jin, Joung-Hee; Lee, Sun-Jung 8 2011 A study on the \(p\)-adic \(q\)-integral representation on \(\mathbb Z_{p}\) associated with the weighted \(q\)-Bernstein and \(q\)-Bernoulli polynomials. Zbl 1221.11230 Kim, T.; Bayad, A.; Kim, Y.-H. 6 2011 Dedekind sums involving Jacobi modular forms and special values of Barnes zeta functions. (Sommes de Dedekind liées aux formes modulaires de Jacobi et aux valeurs spéciales des fonctions zêta de Barnes.) Zbl 1279.11044 Bayad, Abdelmejid; Simsek, Yilmaz 6 2011 Some identities on Bernstein polynomials associated with \(q\)-Euler polynomials. Zbl 1234.11024 Bayad, A.; Kim, T.; Lee, B.; Rim, S.-H. 5 2011 Special values of Lerch zeta function and their Fourier expansions. Zbl 1243.11090 Bayad, Abdelmejid 4 2011 Reciprocity formulae for multiple Dedekind-Rademacher sums. Zbl 1230.11051 Bayad, Abdelmejid; Raouj, Abdelaziz 3 2011 A note on the generalized Bernstein polynomials. Zbl 1228.60025 Dolgy, D. V.; Bayad, A.; Kim, T; Lee, S. H. 1 2011 On the symmetry properties of the generalized higher-order Euler polynomials. Zbl 1266.11036 Bayad, Abdelmejid; Kim, Taekyun; Choi, Jongsung; Kim, Young-Hee; Lee, Byungje 1 2011 Modular properties of elliptic Bernoulli and Euler functions. Zbl 1278.11021 Bayad, Abdelmejid 29 2010 Identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials. Zbl 1209.11025 Bayad, Abdelmejid; Kim, Taekyun 24 2010 Arithmetical properties of elliptic Bernoulli and Euler numbers. Zbl 1247.11057 Bayad, Abdelmejid 10 2010 Hecke operators and generalized Bernoulli-Euler polynomials. Zbl 1221.11055 Bayad, Abdelmejid; Aygünes, Aykut Ahmet; Simsek, Yilmaz 3 2010 Reciprocity formulae for general multiple Dedekind–Rademacher sums and enumeration of lattice points. Zbl 1252.11041 Bayad, Abdelmejid; Raouj, Abdelaziz 2 2010 New means and its properties. Zbl 1218.26034 Lokesha, V.; Kumar B, Naveen; Nagaraja, K. M.; Bayad, Abdelmejid; Saraj, M. 1 2010 On values of Jacobi forms and elliptic Dedekind sums. Zbl 1215.11044 Bayad, Abdelmejid 2 2009 Multiple elliptic Apostol-Dedekind-Zagier sums. (Sommes elliptiques multiples d’Apostol-Dedekind-Zagier.) Zbl 1099.11026 Bayad, Abdelmejid 5 2004 Applications to elliptic Apostol-Dedekind-Zagier sums. (Applications aux sommes elliptiques d’Apostol-Dedekind-Zagier.) Zbl 1099.11025 Bayad, Abdelmejid 2 2004 Jacobi form and distribution formulas. (Formes de Jacobi et formules de distribution.) Zbl 1073.11032 Bayad, Abdelmejid; Gómez Ayala, Jesús 1 2004 Sommes de Dedekind elliptiques et formes de Jacobi. (Elliptic Dedekind sums and Jacobi forms). Zbl 1034.11030 Bayad, Abdelmejid 7 2001 Note on a meromorphic Jacobi form. (Note sur une forme de Jacobi méromorphe.) Zbl 0885.11035 Bayad, Abdelmejid; Robert, Gilles 7 1997 Improvement of a congruence for certain quadratic Stickelberger elements. (Amélioration d’une congruence pour certains éléments de Stickelberger quadratiques.) Zbl 0895.11021 Bayad, Abdelmejid; Robert, Gilles 5 1997 \(q\)-adic valuation and additive distribution relation for certain \(q\)-periodic functions. (Valuation \(q\)-adique et relation de distribution additive pour certaines fonctions \(q\)-périodiques.) Zbl 0924.11047 Bayad, Abdelmejid 1 1997 Arithmetic sums and Stickelberger elements. (Sommes arithmétiques et éléments de Stickelberger.) Zbl 0863.11074 Bayad, A.; Bley, W.; Cassou-Noguès, Ph. 4 1996 Loi de réciprocité quadratique dans les corps quadratiques imaginaires. (Quadratic reciprocity law in imaginary quadratic number fields). Zbl 0843.11047 Bayad, Abdelmejid 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 280 Authors 102 Kim, Taekyun 80 Kim, Dae San 38 Bayad, Abdelmejid 31 Simsek, Yilmaz 23 Rim, Seog-Hoon 22 Dolgiĭ, Dmitriĭ Viktorovich 20 Kim, Daeyeoul 18 Jang, Lee-Chae 18 Ryoo, Cheon Seoung 16 Hamahata, Yoshinori 16 Komatsu, Takao 14 Kwon, JongKyum 12 Araci, Serkan 12 Lee, Sang Hun 11 Kim, Minsoo 11 Srivastava, Hari Mohan 10 Park, Jin Woo 9 Acikgoz, Mehmet 9 Jang, Gwan-Woo 8 Jung, Nam Soon 8 Kim, Hyekyung 8 Kucukoglu, Irem 8 Lee, Jeong-Gon 8 Seo, Jongjin 7 Kwon, Hyuck In 7 Navas, Luis M. 6 Corcino, Roberto Bagsarsa 6 Gaboury, Sébastien 6 Jeong, Joohee 6 Kim, Hanyoung 6 Lee, Hyunseok 6 Varona Malumbres, Juan Luis 5 He, Yuan 5 Hu, Su 5 Kilar, Neslihan 5 Kim, Byungmoon 5 Mansour, Toufik 5 Ramírez, José Luis 5 Ruiz, Francisco J. 4 Bényi, Beáta 4 İkikardes, Nazli Yildiz 4 Kim, Young Hee 4 Lee, Hui Young 4 Lokesha, V. 4 Ma, Yuankui 4 Maslov, Viktor Pavlovich 3 Cho, Bumkyu 3 Choi, Sangki 3 Cimpoeaş, Mircea 3 Corcino, Cristina Bordaje 3 Duran, Ugur 3 Franušić, Zrinka 3 Goubi, Mouloud 3 Hajli, Mounir 3 Hernane, Mohand-Ouamar 3 Jolany, Hassan 3 Khan, Subuhi 3 Khan, Waseem Ahmad 3 Kurt, Burak 3 Kurt, Veli 3 Lim, Dongkyu 3 Louboutin, Stéphane R. 3 Milovanović, Gradimir V. 3 Ozarslan, Mehmet Ali 3 Pyo, Sung-Soo 3 Raouj, Abdelaziz 3 Riyasat, Mumtaz 3 Tassaddiq, Asifa 3 Xu, Ce 2 Adžaga, Nikola 2 Belbachir, Hacene 2 Birol, Furkan 2 Cangul, Ismail Naci 2 Cenkci, Mehmet 2 Darses, Sébastien 2 Dehestani, Haniye 2 Do, Younghae 2 Ghanim, Firas 2 Hadj-Brahim, Slimane 2 Hillion, Erwan 2 Hwang, Jihyun 2 Kang, Jung-Yoog 2 Kargin, Levent 2 Kchit, Omar 2 Kim, Wonjoo 2 Kim, Yunjae 2 Koruoglu, Ozden 2 Lee, Byungje 2 Li, Yan 2 Masjed-Jamei, Mohammad 2 Matsusaka, Toshiki 2 Ordokhani, Yadollah 2 Ranjini, P. S. 2 Razzaghi, Mohsen 2 Robert, Gilles F. 2 Sasaki, Yoshitaka 2 Sirvent, Víctor F. 2 Tsumura, Hirofumi 2 Urieles, Alejandro 2 Vignat, Christophe ...and 180 more Authors all top 5 Cited in 112 Serials 57 Advances in Difference Equations 21 Journal of Inequalities and Applications 19 Journal of Number Theory 17 Abstract and Applied Analysis 12 Applied Mathematics and Computation 12 International Journal of Mathematics and Mathematical Sciences 10 Russian Journal of Mathematical Physics 10 Filomat 10 The Ramanujan Journal 10 International Journal of Number Theory 10 Journal of Applied Mathematics & Informatics 8 Journal of Mathematical Analysis and Applications 8 Journal of Nonlinear Science and Applications 8 Symmetry 8 Open Mathematics 7 Discrete Dynamics in Nature and Society 7 Applicable Analysis and Discrete Mathematics 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Mathematical Methods in the Applied Sciences 5 Integral Transforms and Special Functions 4 Rocky Mountain Journal of Mathematics 4 Functiones et Approximatio. Commentarii Mathematici 4 Monatshefte für Mathematik 4 Mediterranean Journal of Mathematics 4 Axioms 3 Mathematical Notes 3 Mathematics of Computation 3 Annales de l’Institut Fourier 3 Demonstratio Mathematica 3 Proceedings of the American Mathematical Society 3 Aequationes Mathematicae 3 Journal de Théorie des Nombres de Bordeaux 3 Turkish Journal of Mathematics 3 Honam Mathematical Journal 3 Integers 3 Journal of Applied Mathematics 3 Fixed Point Theory and Applications 2 Communications in Algebra 2 Indian Journal of Pure & Applied Mathematics 2 Lithuanian Mathematical Journal 2 Acta Arithmetica 2 Journal of the Korean Mathematical Society 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 Georgian Mathematical Journal 2 Finite Fields and their Applications 2 Journal of Integer Sequences 2 Kragujevac Journal of Mathematics 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Tbilisi Mathematical Journal 2 Science China. Mathematics 2 ISRN Applied Mathematics 2 Journal of Classical Analysis 2 Mathematics 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archivum Mathematicum 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Mathematica Slovaca 1 Nagoya Mathematical Journal 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 Tôhoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Indagationes Mathematicae. New Series 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 Journal of the Egyptian Mathematical Society 1 Fractals 1 ETNA. Electronic Transactions on Numerical Analysis 1 The Electronic Journal of Combinatorics 1 Bulletin des Sciences Mathématiques 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Mathematica Moravica 1 Communications of the Korean Mathematical Society 1 Applied Mathematics E-Notes 1 JP Journal of Algebra, Number Theory and Applications 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 AKCE International Journal of Graphs and Combinatorics 1 Journal of Physics A: Mathematical and Theoretical 1 International Electronic Journal of Algebra (IEJA) 1 Discrete Mathematics, Algorithms and Applications 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 TWMS Journal of Pure and Applied Mathematics 1 Functional Analysis, Approximation and Computation 1 Journal of Mathematics and Computer Science. JMCS ...and 12 more Serials all top 5 Cited in 35 Fields 376 Number theory (11-XX) 125 Combinatorics (05-XX) 63 Special functions (33-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 12 Numerical analysis (65-XX) 11 Real functions (26-XX) 11 Ordinary differential equations (34-XX) 9 Functions of a complex variable (30-XX) 9 Approximations and expansions (41-XX) 8 Computer science (68-XX) 5 Field theory and polynomials (12-XX) 4 Integral transforms, operational calculus (44-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Sequences, series, summability (40-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) Citations by Year