- Constants for
Artin-like problems in Kummer and division fields (with Milad
Fakhari), submitted, 20 pages.

- Value-Distribution
of logarithmic derivatives of quadratic twists of automorphic
$L$-functions (with Alia Hamieh), submitted, 33 pages.

- Fourier coefficients of automorphic L-functions over primes in ray classes (with P.-J. Wong), submitted, 17 pages.
- 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, 13 pages.

- 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), 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), 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), Intern. Math. 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, J. Ramanujan Math. Soc., 14 (1999), 37-54.
- 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 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 direction of R. Zaare-Nahandi.

Lecture Notes

Thesis