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## Akbary, Amir

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 Author ID: akbary.amir Published as: Akbary, Amir External Links: MGP
 Documents Indexed: 39 Publications since 1999, including 1 Book
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#### Co-Authors

 6 single-authored 6 Wang, Qiang (Steven) 5 Ghioca, Dragos 4 Murty, Vijaya Kumar 3 Yazdani, Soroosh 2 Friggstad, Zachary 2 Juricevic, Robert 2 Shahabi, Shahab 1 Alaric, Sean 1 Arthur, James Greig 1 Asgari, Mahdi 1 Bleaney, Jeff 1 Cogdell, James W. 1 David, Chantal 1 Felix, Adam Tyler 1 Fodden, Brandon 1 Francis, Forrest J. 1 Gun, Sanoli 1 Hambrook, Kyle 1 Hamieh, Alia 1 Murty, Maruti Ram 1 Ng, Nathan C. 1 Parks, James M. 1 Ramakrishnan, Dinakar 1 Scholten, Keilan 1 Shahabi, Majid 1 Siavashi, Sahar 1 Takloo-Bighash, Ramin 1 Trudgian, Timothy S. 1 Yadav, Manoj Kumar
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#### Serials

 4 Acta Arithmetica 3 Mathematics of Computation 3 Journal of Number Theory 3 International Journal of Number Theory 2 International Journal of Mathematics and Mathematical Sciences 2 Proceedings of the American Mathematical Society 2 Comptes Rendus Mathématiques de l’Académie des Sciences 2 Journal of the Ramanujan Mathematical Society 2 Finite Fields and their Applications 1 American Mathematical Monthly 1 Indian Journal of Pure & Applied Mathematics 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Mathematische Annalen 1 Bulletin of the Iranian Mathematical Society 1 IMRN. International Mathematics Research Notices 1 The New York Journal of Mathematics 1 The Ramanujan Journal 1 The Quarterly Journal of Mathematics 1 Integers 1 International Mathematical Journal 1 Contributions to Discrete Mathematics 1 Springer Proceedings in Mathematics & Statistics
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#### Fields

 38 Number theory (11-XX) 2 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 230 times in 176 Documents Cited by Year
On constructing permutations of finite fields. Zbl 1281.11102
Akbary, Amir; Ghioca, Dragos; Wang, Qiang
2011
On polynomials of the form $$x^{r}f(x^{(q - 1)/l})$$. Zbl 1135.11341
Akbary, Amir; Wang, Qiang
2007
A generalized Lucas sequence and permutation binomials. Zbl 1137.11355
Akbary, Amir; Wang, Qiang
2006
On permutation polynomials of prescribed shape. Zbl 1220.11145
Akbary, Amir; Ghioca, Dragos; Wang, Qiang
2009
A geometric variant of Titchmarsh divisor problem. Zbl 1282.11068
Akbary, Amir; Ghioca, Dragos
2012
On some classes of permutation polynomials. Zbl 1218.11108
Akbary, Amir; Alaric, Sean; Wang, Qiang
2008
Limiting distributions of the classical error terms of prime number theory. Zbl 1302.11071
Akbary, Amir; Ng, Nathan; Shahabi, Majid
2014
Uniform distribution of zeros of Dirichlet series. Zbl 1179.11028
Akbary, Amir; Murty, M. Ram
2008
An analogue of the Siegel-Walfisz theorem for the cyclicity of CM elliptic curves mod $$p$$. Zbl 1205.11061
Akbary, Amir; Murty, V. Kumar
2010
On some permutation polynomials over finite fields. Zbl 1092.11046
Akbary, Amir; Wang, Qiang
2005
Reductions of points on elliptic curves. Zbl 1262.11071
Akbary, Amir; Ghioca, Dragos; Murty, V. Kumar
2010
Periods of orbits modulo primes. Zbl 1254.37065
Akbary, Amir; Ghioca, Dragos
2009
Non-vanishing of weight $$k$$ modular $$L$$-functions with large level. Zbl 1059.11038
Akbary, Amir
1999
On invariants of elliptic curves on average. Zbl 1335.11039
2015
Lower bounds for power moments of $$L$$-functions. Zbl 1336.11065
Akbary, Amir; Fodden, Brandon
2012
Simultaneous non-vanishing of twists. Zbl 1173.11327
Akbary, Amir
2006
Average distributions and products of special values of $$L$$-series. Zbl 1087.11035
Akbary, Amir; David, Chantal; Juricevic, Robert
2004
A variant of the Bombieri-Vinogradov theorem with explicit constants and applications. Zbl 1341.11053
Akbary, Amir; Hambrook, Kyle
2015
Reduction mod $$p$$ of subgroups of the Mordell-Weil group of an elliptic curve. Zbl 1188.11032
Akbary, Amir; Murty, V. Kumar
2009
A log-free zero-density estimate and small gaps in coefficients of $$L$$-functions. Zbl 1385.11026
Akbary, Amir; Trudgian, Timothy S.
2015
On the greatest prime divisor of $$N_p$$. Zbl 1162.11030
Akbary, Amir
2008
Explicit upper bounds for $$f(n)=\prod_{p_{\omega(n)}} \frac{p}{p-1}$$. Zbl 1242.11069
Akbary, Amir; Friggstad, Zachary; Juricevic, Robert
2007
Average values of symmetric square $$L$$-functions at $$\text{Re}(s) = 2$$. Zbl 1027.11033
Akbary, Amir
2000
The largest known Wieferich numbers. Zbl 1439.11008
Akbary, Amir; Siavashi, Sahar
2018
On symmetries of elliptic nets and valuations of net polynomials. Zbl 1400.11109
Akbary, Amir; Bleaney, Jeff; Yazdani, Soroosh
2016
On the greatest prime factor of some divisibility sequences. Zbl 1394.11079
Akbary, Amir; Yazdani, Soroosh
2015
Artin prime producing polynomials. Zbl 1333.11005
Akbary, Amir; Scholten, Keilan
2015
Non-vanishing of modular $$L$$-functions on a disc. Zbl 0973.11055
Akbary, Amir
2000
The largest known Wieferich numbers. Zbl 1439.11008
Akbary, Amir; Siavashi, Sahar
2018
On symmetries of elliptic nets and valuations of net polynomials. Zbl 1400.11109
Akbary, Amir; Bleaney, Jeff; Yazdani, Soroosh
2016
On invariants of elliptic curves on average. Zbl 1335.11039
2015
A variant of the Bombieri-Vinogradov theorem with explicit constants and applications. Zbl 1341.11053
Akbary, Amir; Hambrook, Kyle
2015
A log-free zero-density estimate and small gaps in coefficients of $$L$$-functions. Zbl 1385.11026
Akbary, Amir; Trudgian, Timothy S.
2015
On the greatest prime factor of some divisibility sequences. Zbl 1394.11079
Akbary, Amir; Yazdani, Soroosh
2015
Artin prime producing polynomials. Zbl 1333.11005
Akbary, Amir; Scholten, Keilan
2015
Limiting distributions of the classical error terms of prime number theory. Zbl 1302.11071
Akbary, Amir; Ng, Nathan; Shahabi, Majid
2014
A geometric variant of Titchmarsh divisor problem. Zbl 1282.11068
Akbary, Amir; Ghioca, Dragos
2012
Lower bounds for power moments of $$L$$-functions. Zbl 1336.11065
Akbary, Amir; Fodden, Brandon
2012
On constructing permutations of finite fields. Zbl 1281.11102
Akbary, Amir; Ghioca, Dragos; Wang, Qiang
2011
An analogue of the Siegel-Walfisz theorem for the cyclicity of CM elliptic curves mod $$p$$. Zbl 1205.11061
Akbary, Amir; Murty, V. Kumar
2010
Reductions of points on elliptic curves. Zbl 1262.11071
Akbary, Amir; Ghioca, Dragos; Murty, V. Kumar
2010
On permutation polynomials of prescribed shape. Zbl 1220.11145
Akbary, Amir; Ghioca, Dragos; Wang, Qiang
2009
Periods of orbits modulo primes. Zbl 1254.37065
Akbary, Amir; Ghioca, Dragos
2009
Reduction mod $$p$$ of subgroups of the Mordell-Weil group of an elliptic curve. Zbl 1188.11032
Akbary, Amir; Murty, V. Kumar
2009
On some classes of permutation polynomials. Zbl 1218.11108
Akbary, Amir; Alaric, Sean; Wang, Qiang
2008
Uniform distribution of zeros of Dirichlet series. Zbl 1179.11028
Akbary, Amir; Murty, M. Ram
2008
On the greatest prime divisor of $$N_p$$. Zbl 1162.11030
Akbary, Amir
2008
On polynomials of the form $$x^{r}f(x^{(q - 1)/l})$$. Zbl 1135.11341
Akbary, Amir; Wang, Qiang
2007
Explicit upper bounds for $$f(n)=\prod_{p_{\omega(n)}} \frac{p}{p-1}$$. Zbl 1242.11069
Akbary, Amir; Friggstad, Zachary; Juricevic, Robert
2007
A generalized Lucas sequence and permutation binomials. Zbl 1137.11355
Akbary, Amir; Wang, Qiang
2006
Simultaneous non-vanishing of twists. Zbl 1173.11327
Akbary, Amir
2006
On some permutation polynomials over finite fields. Zbl 1092.11046
Akbary, Amir; Wang, Qiang
2005
Average distributions and products of special values of $$L$$-series. Zbl 1087.11035
Akbary, Amir; David, Chantal; Juricevic, Robert
2004
Average values of symmetric square $$L$$-functions at $$\text{Re}(s) = 2$$. Zbl 1027.11033
Akbary, Amir
2000
Non-vanishing of modular $$L$$-functions on a disc. Zbl 0973.11055
Akbary, Amir
2000
Non-vanishing of weight $$k$$ modular $$L$$-functions with large level. Zbl 1059.11038
Akbary, Amir
1999
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#### Cited by 220 Authors

 15 Wang, Qiang (Steven) 13 Zeng, Xiangyong 10 Akbary, Amir 9 Hou, Xiang-Dong 9 Shparlinski, Igor E. 8 Hu, Lei 8 Tu, Ziran 7 Zha, Zhengbang 6 Li, Kangquan 6 Qu, Longjiang 6 Yuan, Pingzhi 5 Bartoli, Daniele 5 Cao, Xiwang 5 Fernando, Neranga 5 Ghioca, Dragos 4 Ding, Cunsheng 4 Helleseth, Tor 4 Kim, Sungjin 4 Martin, Greg 4 Virdol, Cristian 3 Cojocaru, Alina Carmen 3 Feng, Xiutao 3 Lappano, Stephen D. 3 Li, Lisha 3 Li, Nian 3 Lin, Dongdai 3 Pasalic, Enes 3 Wong, Peng-Jie 3 Zheng, Yanbin 2 Balkanova, Ol’ga Germanovna 2 Benedetto, Robert L. 2 Cepak, Nastja 2 Chen, Xi 2 D’Andrea, Carlos 2 Kan, Haibin 2 Li, Chaoyun 2 Li, Chunlei 2 Marcos, José E. 2 Mazhouda, Kamel 2 Murty, Vijaya Kumar 2 Ostafe, Alina 2 Pankowski, Łukasz 2 Pei, Dingyi 2 Peng, Jie 2 Pollack, Paul 2 Smajlović, Lejla 2 Sombra, Martín 2 Sono, Keiju 2 Steuding, Jörn 2 Troupe, Lee 2 Tucker, Thomas John 2 Tuxanidy, Aleksandr 2 Wu, Baofeng 2 Wu, Jie 2 Zhang, Weiguo 2 Zhang, Zhizheng 2 Zheng, Dabin 2 Zheng, Lijing 2 Zieve, Michael E. 1 Aistleitner, Christoph 1 Alaric, Sean 1 Axler, Christian 1 Baker, Roger C. 1 Banks, William D. 1 Bell, Renee 1 Bhattacharya, Srimanta 1 Blakestad, Clifford 1 Blomer, Valentin 1 Bunyawat, Aunyarat 1 Calderini, Marco 1 Chang, Mei-Chu 1 Charpin, Pascale 1 Chen, Zhen 1 Chen, Zhixiong 1 Cherubini, Giacomo 1 Cowan, Alexander 1 Deveci, Ömür 1 Devin, Lucile 1 Euvrard, Charlotte 1 Felix, Adam Tyler 1 Feng, Tao 1 Fiorilli, Daniel 1 Fité, Francesc 1 Frolenkov, Dmitriĭ Andreevich 1 Fu, Shihui 1 Gallot, Yves 1 Gao, Zhicheng 1 Garefalakis, Theodoulos 1 Garunkštis, Ramūnas 1 Ge, Gennian 1 Gehrmann, Lennart 1 Gierszewski, Karol 1 Giesbrecht, Mark W. 1 Giri, Sumit 1 Guitart, Xavier 1 Heap, Winston P. 1 Hertlein, Alexander 1 Hu, Bin 1 Humphries, Peter J. 1 Hutz, Benjamin ...and 120 more Authors
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#### Cited in 51 Serials

 54 Finite Fields and their Applications 16 Journal of Number Theory 10 Proceedings of the American Mathematical Society 10 International Journal of Number Theory 8 Designs, Codes and Cryptography 8 Cryptography and Communications 5 Transactions of the American Mathematical Society 4 Discrete Applied Mathematics 4 Journal de Théorie des Nombres de Bordeaux 3 Discrete Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Arithmetica 3 Mathematische Annalen 3 Forum Mathematicum 3 Applicable Algebra in Engineering, Communication and Computing 2 Functiones et Approximatio. Commentarii Mathematici 2 International Journal of Mathematics and Mathematical Sciences 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Lithuanian Mathematical Journal 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematika 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Journal of Symbolic Computation 1 Revista Matemática Iberoamericana 1 SIAM Journal on Discrete Mathematics 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 New Zealand Journal of Mathematics 1 Journal of Mathematical Sciences (New York) 1 Complexity 1 Documenta Mathematica 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 The Ramanujan Journal 1 Integers 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics 1 Journal of Algebra and its Applications 1 Research in Number Theory 1 Prikladnaya Diskretnaya Matematika
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#### Cited in 16 Fields

 169 Number theory (11-XX) 23 Combinatorics (05-XX) 9 Algebraic geometry (14-XX) 7 Information and communication theory, circuits (94-XX) 6 Field theory and polynomials (12-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Commutative algebra (13-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Geometry (51-XX)