Prabhat Kumar Mishra

collaborators

3 papers

math.NT2026

Determining newforms via arithmetic relations among Fourier coefficients

Arvind Kumar, Moni Kumari, Prabhat Kumar Mishra

We investigate the distribution of primes satisfying arithmetic inequalities involving the Fourier coefficients of two non-CM newforms at prime powers. More precisely, we establish…

math.NT2026

Effective Joint Sato-Tate Distribution and Sign Change of Symmetric Power Coefficients

Arvind Kumar, Moni Kumari, Prabhat Kumar Mishra

We prove an unconditional, effective joint Sato--Tate distribution for the Fourier coefficients of two twist-inequivalent, non-CM newforms $f$ and $f^{'}$ . Our result generalises a re…

math.NT2026

On Lower Bounds for sums of Fourier Coefficients of Twist-Inequivalent Newforms

Moni Kumari, Prabhat Kumar Mishra, Jyotirmoy Sengupta

In this article, we address the lower bounds for the sums $a_{f} (p) + a_{g} (p)$ of the $p$ -th Fourier coefficients of two twist-inequivalent, non-CM normalized newforms $f$ and $g$ . Our…