Published papers
Ajai Choudhry and Abhishek Juyal, "Rational points in arithmetic progressions on the unit circle", Journal of Integer Sequences 2016, Vol. 19, Article 16.7.4.
Pradeep Das, Abhishek Juyal, and Dustin Moody, “Integral Isosceles Triangle- Parallelogram and Heron triangle-Rhombus Pairs with a Common Area and Common Perimeter”, Journal of Number theory, 180 (2017), 208-218.\
Abhishek Juyal, Shiv Datt Kumar, “On the family of elliptic curve y^2 = x^3- m^2x + p^2", Proc. Indian Acad. Sci. (Math. Sci.) (2018) 128:54.
Kalyan Chakraborty, Abhishek Juyal, Shiv Datt Kumar, and Bibekananda Maji, "An asymptotic expansion of a Lambert series associated to a cusp form”, International Journal of Number Theory", 14 (2018), 289-299.
Abhash Kumar, Abhishek Juyal, Manish Pandey, “On simultaneous non-vanishing of twisted L-functions associated to newforms on Gamma(N)", Journal of the Ramanujan Mathematical Society, 34, N0. 2 (2019) 245-252.
Abhishek Juyal, Shiv Datt Kumar, and Dustin Moody, “Elliptic curves arising from triangular numbers”, INTEGERS, 2019 Paper No. A10, 11 pp.
Mithun Kumar Das, Abhishek Juyal, "Trigonometric sums, higher dimensional Dedekind sums and twisted mean values of Dirichlet L-series", Journal of the Ramanujan Mathematical Society. 35, N0. 4 (2020) 327-340.
Abhishek Juyal, Dustin Moody, On the family of elliptic curves X + 1/X + Y +1/Y + t = 0, INTEGERS, 2021, Paper No. A18, 13 pp.
Abhishek Juyal, Sudhansu Sekhar Rout, "Mordell-Weil bases for the elliptic y^2 = x^3-m^2x + m^2", Czechoslovak Mathematical Journal, 71, (146), 1133-1147, (2021).
Abhishek Juyal, Bibekanand Maji, Sumukha S, "An exact formula for a Lambert series associated to a cusp form and the Möbius function", Ramanujan Journal, 57, 769-784, (2022).
Abhishek Juyal, Dustin Moody, “Pairs of Heron and right triangles with a common area and a common perimeter", Publicationes Mathematicae Debrecen, 100/3-4, (2022), 449-460.
Abhishek Juyal, Dustin Moody, Bidisha Roy, “On ranks of quadratic twists of a Mordell curve", Ramanujan Journal 59, 31–50 (2022).
Abhishek Juyal, Bibekananda Maji, Sumukha Sathyanarayana, “An asymptotic expansion for a Lambert series associated to the symmetric square L-function”, International journal of number theory 19, No. 3, 553-567, 2023.
Babita, Abhash Kumar Jha, Abhishek Juyal, Bibekananda Maji, “An asymptotic expansion for a Lambert series associated to Siegel cusp forms", to appear in the Ramanujan Journal.
Abhishek Juyal, Manish Kumar Pandey, ''On products of Fourier coefficients of half-integral weight cusp forms", Combinatorics and Number Theory, Vol. 13 (2024), No. 2, 93-101.
Abhishek Juyal, Ankan Pal, Bidisha Roy, ``A note on elliptic curves and Gaussian hypergeometric series", to appear in the Rockey Mountain Journal of Mathematics.