Mathematical and Physical Sciences

Profile: Professor Pramath Anamby's research is primarily in Number Theory, with particular interests in Modular Forms and Analytic Number Theory. His doctoral research focused on Fourier coefficients of modular forms and pullbacks of Saito-Kurokawa lifts. Post PhD, Professor Anamby joined Harish-Chandra Research Institute as a Postdoctoral Fellow. Subsequently, he joined the Indian Institute of Science Education and Research (IISER) Pune as a Postdoctoral Fellow before joining Ahmedabad University.

Professor Anamby’s current research focuses on the interplay between Jacobi forms, Saito-Kurokawa lifts, and Siegel modular forms, emphasising understanding their supnorms. He is also interested in the analytic aspects of these objects.

• Anamby, P. & Pal, R. (2024). Determination of a pair of newforms from the product of their twisted central values. Forum Mathematicum.
• Anamby, P. (2024). Theta components of Jacobi forms with level and an application. International Journal of Number Theory, 20(2), 549–564.
• Anamby, P. & Das, S. (2023). Jacobi forms, Saito–Kurokawa lifts, their pullbacks and sup-norms on average. Research in the Mathematical Sciences, 10(1), 14.
• Anamby, P., Das, S., & Pal, R. (2020). Large Hecke eigenvalues and an Omega result for non Saito–Kurokawa lifts. The Ramanujan Journal, 1, 1–13.
• Anamby, P. & Das, S. (2019). Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients. Publicacions Matemàtiques, 63(1), 307–341.
• Anamby, P. & Das, S. (2019). Hecke–Siegel type threshold for square-free Fourier coefficients: An improvement. In Analytic and Arithmetic Theory of Automorphic Forms (Vol. 2100, RIMS Kokyuroku, pp. 35–42).
• Anamby, P. & Das, S. (2018). Bounds for the Petersson norms of the pullbacks of Saito–Kurokawa lifts. Journal of Number Theory, 191, 351–367.
• Anamby, P. & Das, S. (2017). Sturm-like bound for square-free Fourier coefficients. In L-Functions and Automorphic Forms (pp. 1–7). Springer.