Abhishek Juyal

Hemwati Nandan Bahuguna Garhwal University — India

Mathematics · Physical Sciences

4h-index49citations21works0.32yr avg
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Research Topics

Analytic Number Theory Research(11), Algebraic Geometry and Number Theory(8), Advanced Mathematical Identities(6), Advanced Algebra and Geometry(6), Mathematics and Applications(5)

Publications21 total

On ranks of quadratic twists of elliptic curve $$\varvec{y^2{\,=\,}(x{\,+\,}1)}$$ $$\varvec{(x^2{\,+\,}1)}$$
Proceedings - Mathematical Sciences·2025
On 2-Selmer Rank of the Legendre Curves and Congruent Numbers
Results in Mathematics·2025
Rank-zero quadratic twists in families of elliptic curves with one rational parameter over $$\mathbb {Q}$$
Annales mathématiques du Québec·2025
A note on tangential quadrilaterals
Quaestiones Mathematicae·2024
An asymptotic expansion for a Lambert series associated with Siegel cusp forms
The Ramanujan Journal·2024· 2 cited
On products of Fourier coefficients of half-integral weight cusp forms
Combinatorics and Number Theory·2024
An asymptotic expansion for a Lambert series associated to Siegel cusp forms
Research Square (Research Square)·2023Open Access
An asymptotic expansion for a Lambert series associated to Siegel cusp forms
arXiv (Cornell University)·2023Open Access
An asymptotic expansion for a Lambert series associated to the symmetric square L-function
International Journal of Number Theory·2022· 5 cited
On ranks of quadratic twists of a Mordell curve
The Ramanujan Journal·2022· 3 cited
Pairs of Heron and right triangles with a common area and a common perimeter
Publicationes Mathematicae Debrecen·2022· 1 cited
An asymptotic expansion for a Lambert series associated to the symmetric square $L$-function
arXiv (Cornell University)·2021Open Access
The Mordell-Weil bases for the elliptic curve $y^2=x^3-m^2x+m^2$
Czechoslovak Mathematical Journal·2021· 1 cited
On the Family of Elliptic Curves X+1/X+Y+1/Y-t=0
PubMed·2021Open Access
An exact formula for a Lambert series associated to a cusp form and the Möbius function
The Ramanujan Journal·2021· 9 cited
On Simultaneous Non-Vanishing Of Twisted L-Fnctions Associated to Newforms on Γ0(N)
Journal of the Ramanujan Mathematical Society·2019
Elliptic Curves Arising From the Triangular Numbers
PubMed·2019· 1 citedOpen Access
On the family of elliptic curves $$\varvec{y^2=x^3-m^2x+p^2}$$ y 2 = x 3 - m 2 x + p 2
Proceedings - Mathematical Sciences·2018· 2 cited
An asymptotic expansion of a Lambert series associated to cusp forms
International Journal of Number Theory·2017· 11 cited
Integral isosceles triangle–parallelogram and Heron triangle–rhombus pairs with a common area and common perimeter
Journal of Number Theory·2017· 11 citedOpen Access
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Frequent Co-authors

Bibekananda Maji(7), Dustin Moody(6), Abhash Kumar Jha(4), Shiv Datt Kumar(3), Sumukha Sathyanarayana(3), Pradeep Das(2), Babita Babita(2), Mansi Tyagi(2), Manish Kumar Pandey(2), Kalyan Chakraborty(1), Ajai Choudhry(1), Bidisha Roy(1), Sudhansu Sekhar Rout(1), Priyanka Gairola(1), Babita Shakya(1)