B. Pandey

activity

20202023

collaborators

4 papers

math.NT2023

Biases among classes of rank-crank partitions $(mod 11)$

Kathrin Bringmann, Badri Vishal Pandey

In this paper, we prove inequalities for ranks, cranks, and partitions among different classes modulo 11. These were conjectured by Borozenets.

math.NT2023

Linear congruence relations for exponents of Borcherds products

Andreas Mono, Badri Vishal Pandey

For all positive powers of primes $p \geq 5$ , we prove the existence of infinitely many linear congruences between the exponents of twisted Borcherds products arising from a suitabl…

math.NT2022

Inversion Formulas for the $j$ -function Around Elliptic Points

Alejandro De Las Penas Castano, Badri Vishal Pandey

Recently, Hong, Mertens, Ono and Zhang proved a conjecture of Căldăraru, He, and Huang that expresses the Taylor series of the modular $j$ -function around the elliptic points $i$ a…

math.NT2020

Modular forms and ellipsoidal T-designs

Badri Vishal Pandey

In recent work, Miezaki introduced the notion of a $s p h er i c a l$ $T$ -d $es i g n$ in $R^{2}$ , where $T$ is a potentially infinite set. As an example, he offered the $Z^{2}$ …

Biases among classes of rank-crank partitions(mod11)

Linear congruence relations for exponents of Borcherds products

Inversion Formulas for the j-function Around Elliptic Points

Modular forms and ellipsoidal T-designs

Biases among classes of rank-crank partitions $(mod 11)$

Inversion Formulas for the $j$ -function Around Elliptic Points