Welcome to my homepage
Contact:
Department of Mathematics, Indian Institute of Science Education and Research, Pune, India -- 411008.
Email:
pramath.anamby [at] gmail [dot] com.
pramath.anamby [at] acads [dot] iiserpune [dot] ac [dot] in.
Links:
I'm currently a Postdoctoral Fellow at the Department of Mathematics, Indian Institute of Science Education and Research, Pune, India. I completed my Ph.D. (2014--2019) from Indian Institute of Science, Bengaluru, under the guidance of Prof. Soumya Das.
Ph.D. Thesis: Fourier coefficients of modular forms and mass of pullbacks of Saito--Kurokawa lifts.
Research Interests: Modular forms, analytic aspects of modular forms and analytic number theory.
Publications:
Theta components of Jacobi forms with level and an application. In: International Journal of Number Theory 2024 20:02, 549-564. (arxiv)
Jacobi forms, Saito--Kurokawa lifts, their Pullbacks and sup-norms on average. In: Research in the Mathematical Sciences, 2023, 10(1), 14. (with S. Das). (arxiv)
Large Hecke eigenvalues and an Omega result for non Saito--Kurokawa lifts. In: The Ramanujan Journal, 2020, 1--13. (with S. Das and R. Pal). (PDF)
Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients. In: Publicacions Matemàtiques, 63.1, 2019, 307–-341. (with S. Das). (PDF)
Hecke--Siegel type threshold for square-free Fourier coefficients: an improvement. In: Analytic and Arithmetic Theory of Automorphic Forms. Vol. 2100. RIMS Kokyuroku, 2019, pp. 35--42 (with S. Das). (PDF)
Bounds for the Petersson norms of the pullbacks of Saito--Kurokawa lifts. In: Journal of Number Theory, 191, 2018, 351--367. (with S. Das). (PDF)
Sturm-like bound for square-free Fourier coefficients. In: L-Functions and Automorphic Forms, Springer, 2017, pp. 1--7. (with S. Das). (PDF)
Preprints:
New and old Saito-Kurokawa lifts classically via $L^2$ norms and bounds on their supnorms: level aspect. (with S. Das). Preprint. (arxiv) (SAGE codes)
Determination of a pair of newforms from the product of their twisted central values. (with R. Pal). Submitted. (arxiv)