Research
Research Interest:
Number Theory. In particular,
Automorphic forms and L-functions: Elliptic modular forms, Jacobi & Siegel modular forms
Publications/Preprints:
(with B. Ramakrishnan) On a correspondence between Jacobi cusp forms and elliptic cusp forms, Int. J. Number Theory 9 (2013), 917--937.
(with B. Ramakrishnan) On the restriction map for Jacobi forms, Abh. Math. Semin. Univ. Hambg. 83 (2013), 163--174.
(with J. Meher, G. K. Viswanadham) A short note on sign changes, Proc. Ind. Acad. Sci. (Math. Sci.) 123 (2013), 315--320.
(with B. Ramakrishnan) Non-vanishing of L-functions associated to cusp forms of half-integral weight, Automorphic Forms, Springer Proc. Math. Stat. 115 (2014), 223--231.
(with J. Meher, S. Pujahari) Sign changes of coefficients of certain Dirichlet series, Funct. Approx. Comment. Math. 52 (2015), 117--126.
(with J. Meher) Asymptotic formulas for the coefficients of certain automorphic functions, Acta Arithmetica 169 (2015), 59--76.
On the non-vanishing of Jacobi Poincare series, Ramanujan Journal 43 (2017), 1--14.
(with J. Meher, G. K. Viswanadham) On the Fourier coefficients of symmetric power L-functions, Int. J. Number Theory 14 (2018), 813--824.
(with K. Balasubramanian, M. R. Murty) Finite order elements in the integral symplectic group, J. Ramanujan Math. Soc. 33 (2018), 427--433.
(with M. Manickam) An Eichler- Zagier map for Jacobi cusp forms on $H X C^{(g,1)}$, J. Number Theory 194 (2019), 319--334.
(with A. Bhand) On Dirichlet series attached to quasimodular forms, J. Number Theory 202 (2019), 91--106.
(with W. Kohnen, Y. Martin) A converse theorem for Jacobi cusp forms of degree two, Acta Arithmetica 189 (2019), 223--262.
(with J. Meher, S. Pujahari) Zeros of L-functions attached to cusp forms of half integral weight, Proc. Amer. Math. Soc. 147 (2019), 131--143.
(with A. Kumar, J. Meher) Strong multiplicity one for Siegel cusp forms of degree two, Forum Math. 33 (2021), 1157--1167.
(with R. K. Singh) An analogue of Weil’s converse theorem for harmonic Maass forms of polynomial growth, Res. Number Theory 8 (2022), 1--27.
(with M. Charan, J. Meher, R. K. Singh) A converse theorem for quasimodular forms, Forum Math. 34 (2022), 547--564.
(with A. Kumar, J. Meher) On signs of Hecke eigenvalues of Siegel eigenforms, Mathematika 68 (2022), 1030--1044.
(with A. Bhand, R. K. Singh) Maass lifts of half-integral weight Eisenstein series and theta powers, Pacific J. Math. 321 (2022), 1--43.
(with P. Tiwari) On sign changes of primitive Fourier coefficients of Siegel cusp forms, Functiones et Approximatio 68.2 (2023), 257--274.
(with J. Meher, M. K. Pandey) Koecher-Maass series have infinitely many critical zeros, Bull. Lond. Math. Soc. 55 (2023), 2224--2232.
(with B. Kumar, M. Manickam) Simultaneous nonvanishing of central L-values with large level, Forum Math. (2024), 12 pages.
(with M. Manickam, V. Srivatsa) Hecke eigenvalues and Fourier-Jacobi coefficients of Siegel cusp forms of degree 2 (submitted).