Number Theory, L-functions, Analytic problems for elliptic curves, Polynomials over finite fields
Number fields with large Polya groups (with Abbas Maarefparvar), arXiv:2508.11125, 25 pages.
Quadratic Euler-Kronecker constants in positive characteristic (with Felix Baril Boudreau), arXiv:2503.00288, 30 pages.
Binary quadratic forms of odd class number (with Yash Totani), arXiv:2408.00184, 15 pages.
Fourier coefficients of automorphic L-functions over primes in ray classes (with P.-J. Wong), Journal of the Ramanujan Mathematical Society. 39 (2024), no.3, 265-280.
Value-Distribution of logarithmic derivatives of quadratic twists of automorphic $L$-functions (with Alia Hamieh), The Quarterly Journal of Mathematics. 75 (2024), no. 1, 97-137.
Constants for Artin-like problems in Kummer and division fields (with Milad Fakhari), Research in Number Theory. 10 (2024), no.2, paper No. 22, 25pp.
Bounds for order of zeros of a class of Eisenstein series and their applications on dual pair of eta quotients (with Z. S. Aygin), Proceedings of the American Mathematical Society, 151 (2023), 4565-4578.
Ambiguous solutions of a Pell equation (with F.J. Francis), Involve, 16 (2023), 13-25.
Sums of triangular numbers and sums of squares (with Z. S. Aygin), Journal of Mathematical Analysis and Applications, 517 (2023), 26 pages.
Two dimensional value-distribution of cubic Hecke L-functions (with A. Hamieh), Proceedings of the American Mathematical Society, 149 (2021), 4669-4684.
On the moments of torsion points modulo primes and their applications (with P.-J. Wong), International Journal of Number Theory, 17 (2021), 1029-1045.
Euler's function on products of primes in progressions (with F. J. Francis), Mathematics of Computation, 89 (2020), 993-1026.
Value-distribution of cubic Hecke L-functions (with A. Hamieh), Journal of Number Theory, 206 (2020), 81-122.
On the Lang-Trotter conjecture for two elliptic curves (with J. Parks), The Ramanujan Journal, 49 (2019), 585-623.
On the average value of a function of the residual index (with A. T. Felix), GANITA, Springer Proc. Math. Stat., 251 (2018), 19-37.
The largest known Wieferich numbers (with S. Siavashi), Integers, 18 (2018) #A3, 5 pages.
The signs in elliptic nets (with M. Kumar and S. Yazdani), New York Journal of Mathematics, 23 (2017), 1237-1264.
On the greatest prime factor of some divisibility sequences (with S. Yazdani), Contemporary Mathematics, 655, Centre Rech. Math. Proc. (volume in honor of 60th birthday of M. Ram Murty), 2015.
On symmetries of elliptic nets and valuations of net polynomials (with J. Bleaney and S. Yazdani), Journal of Number Theory, 158 (2016), 185-216.
On invariants of elliptic curves on average (with A. T. Felix), Acta Arithmetica, 168 (2015), 31-70.
A log-free zero-density estimate and small gaps in coefficients of L-functions (with T. S. Trudgian), International Mathematics Research Notices, link.
Limiting distributions of the classical error terms of prime number theory (with N. Ng and M. Shahabi), The Quarterly Journal of Mathematics, link.
A variant of the Bombieri-Vinogradov theorem with explicit constants and applications (with K. Hambrook), Mathematics of Computation (Electronically published in December 2014), link.
Artin prime producing polynomials (with K. Scholten), Mathematics of Computation (Electronically Published in December 2014), link. Database.
A geometric variant of Titchmarsh divisor problem (with D. Ghioca), International Journal of Number Theory, 8 (1) (2012), 53-69.
Lower bounds for power moments of L-functions (with B. Fodden), Acta Arithmetica, 151 (2012), 11-38.
On constructing permutations of finite fields (with D. Ghioca and Q. Wang), Finite Fields and Their Applications, 17 (2011), 51-67.
Reductions of points on elliptic curves (with D. Ghioca and K. Murty), Mathematische Annalen, 347 (2010), 365-394.
An analogue of the Siegel-Walfisz theorem for the cyclicity of CM wlliptic curves mod p (with K. Murty), Indian Journal of Pure and Applied Mathematics, 41 (1) (2010), 25-37.
Periods of orbits modulo primes (with D. Ghioca), Journal of Number Theory, 129 (2009), 2831--2842.
On permutation polynomials of prescribed shape (with D. Ghioca and Q. Wang), Finite Fields and Their Application, 15 (2009), 195-206.
On the greatest prime divisor of N_p, J. Ramanujan Math. Soc., 23 (3) (2008), 259-282.
Superabundant numbers and the Riemann hypothesis (with Z. Friggstad), The American Mathematical Monthly, 116 (3) (2009), 273-275 .
Reduction mod p of subgroups of the Mordell-Weil group of an elliptic curve (with K. Murty), International Journal of Number Theory, 5 (3)(2009), 465-487.
On polynomials of the form x^r f(x^{(q-1)/l}) (with Q. Wang), International Journal of Mathematics and Mathematical Sciences, 2007, Article ID 23408, 7 pages.
Uniform distribution of zeros of Dirichlet series (with R. Murty), The Anatomy of Integers, CRM, Montreal, 2008, 143-158.
Explicit upper bounds for \prod_{p\leq p_\omega(n)} \frac{p}{p-1} (with Z. Friggstad and R. Juricevic), Contributions to Discrete Mathematics, 2 (2)(2007), 153-160.
On some classes of permutation polynomials (with S. Alaric and Q. Wang), International Journal of Number Theory, 4 (1)(2008), 121-133.
On L^{r+1}(\pi,1/2), C. R. Math. Rep. Acad. Sci. Canada, 28 (2) (2006), 33-38.
Simultaneous non-vanishing of twists, Proceeding of the American Mathematical Society, 134 (11) (2006), 3143-3151.
A generalized Lucas sequence and permutation binomials (with Q. Wang), Proceeding of the American Mathematical Society, 134 (1) (2006), 15-22.
On some permutation polynomials over finite fields (with Q. Wang), International Journal of Mathematics and Mathematical Sciences, 2005:16 (2005), 2631-2640.
On non-vanishing of convolution of Dirichlet series (with S. Shahabi), Canadian Mathematical Bulletin, 48 (3) (2005), 321-332.
On non-vanishing of symmetric square L-functions (with S. Shahabi), International Mathematical Journal, 5 (2) (2004), 169-181.
Average distributions and product of special values of L-series (with C. David and R. Juricevic), Acta Arithmetica, 111 (2004), 239-268.
Descending rational points on elliptic curves to smaller fields (with K. Murty), Canadian Journal of Mathematics, 53 (3) (2001), 449-469.
Average values of symmetric square L-functions at Re(s)=2, C. R. Math. Rep. Acad. Sci. Canada, 22 (3) (2000), 97-104.
Non-vanishing of modular L-functions on a disc, Acta Arithmetica, 92 (2000), 303-318.
Non-vanishing of weight k modular L-functions with large level, Journal of the Ramanujan Mathematical Society, 14 (1999), 37-54.
Overview of the work of Kumar Murty (With S. Gun and M. R. Murty), GANITA, Springer Proceedings in Mathematics & Statistics, 251 (2018), 1-18.
A special issue of the Bulletin of the Iranian Mathematical Society in honor of Professor Freydoon Shahidi on the occasion of his seventieth birthday (With J. Arthur, M. Asgari, J. Cogdell, D. Ramakrishnan, and R. Takloo-Bighash), Bull. Iranian Math. Soc. 43 (4) (2017), 1-2.
Geometry, Algebra, Number Theory, and Their Information Technology Applications (GANITA) (With S. Gun), Toronto, Canada, June 2016, and Kozhikode, India, August 2016, Springer Proceedings in Mathematics & Statistics, Volume 251 (2018), 528 pages.
A special issue of the Bulletin of the Iranian Mathematical Society in honor of Professor Freydoon Shahidi on the occasion of his seventieth birthday (With J. Arthur, M. Asgari, J. Cogdell, D. Ramakrishnan, and R. Takloo-Bighash), Volume 43 (4) (2017), 433 pages.
Analytic problems for number fields and elliptic curves, WAMS Research School in "Topics in Analytic and Transcendental Number Theory", Zanjan, Iran, July 2017.
Lectures on classical analytic theory of L-functions, IPM, Tehran, Iran, May 2006.
Non-vanishing of modular L-functions with large level, Ph.D. thesis, Dept. of Math., University of Toronto, 1997, Under the direction of V. K. Murty.
Algebraic curves and Luroth semi-group, M.Sc. thesis, Dept. of Math. and Computer Science, University of Tehran, 1991, Under the direction of R. Zaare-Nahandi.
Galois number fields with a fixed Polya index, April 28, 2025.
Sums of triangular numbers and sums of squares, March 8, 2021.
The Euler-Kronecker constants of number fields, May 12, 2019.
On the greatest prime factor of some divisibility sequences, June 14, 2015.
Limiting Distributions of the Error Terms, May 12, 2013.