Dr Manish Kumar Pandey, Assistant Professor, Department of Mathematics, has published a paper titled, “Koecher–Maass series have infinitely many critical zeros” in the journal Bull. London Math. Soc. having an Impact Factor of 2.396.
The article studies the zeros of the Koecher-Maass series associated with a Siegel cusp form of degree 2. It is proved that the Koecher-Maass series associated with a Siegel cusp form has infinitely many zeros on the critical line.
It is well known that zeros of the Riemann zeta function have connections with prime numbers. In a similar fashion, one can state the behaviour of the coefficients of such series at primes. These are results of pure mathematical flavour and their immediate application will take time.
- Dr Jaban Meher, National Institute of Science Education and Research (NISER), Bhubaneshwar
- Dr Karamdeo Shankhadhar, Indian Institutes of Science Education and Research (IISER), Bhopal