2 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 and . Our result generalises a re…