Browse by IITH Authors

Article

Kumar, Narasimha (2023) The structure of Drinfeld modular forms of level Γ0(T) and applications. Journal of Algebra, 619. pp. 778-798. ISSN 0021-8693

Kumar, Narasimha and Sahoo, Satyabrat (2022) On generation of the coefficient field of a primitive Hilbert modular form by a single Fourier coefficient. Canadian Mathematical Bulletin. pp. 1-12. ISSN 0008-4395

Dalal, Tarun and Kumar, Narasimha (2021) On mod p congruences for Drinfeld modular forms of level pm. Journal of Number Theory, 228. pp. 253-275. ISSN 0022-314X

Kaushik, Surjeet and Kumar, Narasimha (2019) Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms. Archiv der Mathematik, 112 (3). pp. 241-248. ISSN 0003-889X

Aribam, Chandrakant and Kumar, Narasimha (2019) p-Adic Analogues of the BSD Conjecture and the $$\mathcal {L}$$ -Invariant. The Computational and Theoretical Aspects of Elliptic Curves. pp. 31-44. ISSN 2197-4209

Kumar, Narasimha (2019) A variant of multiplicity one theorems for half-integral weight modular forms. arXiv.org.

Kaushik, S and Kumar, Narasimha and N, Tanabe (2018) Equidistribution of signs for Hilbert modular forms of half-integral weight. Research in Number Theory, 4 (13). ISSN 2363-9555

Kumar, Narasimha and Dalal, Tarun (2018) On non-vanishing and sign changes of the Fourier coefficients of Hilbert cusp forms. arXiv.org.

Kaushik, S and Kumar, Narasimha (2018) On the gaps between nonzero Fourier coefficients of eigenforms with CM. International Journal of Number Theory, 14 (01). pp. 95-101. ISSN 1793-0421

Kumar, Narasimha (2016) On the gaps between non-zero Fourier coefficients of cusp forms of higher weight. Ramanujan Journal. pp. 1-14. ISSN 1382-4090 (In Press)

Kumar, Narasimha (2015) Remarks on q-exponents of generalized modular functions. Functiones et Approximatio Commentarii Mathematici, 53 (2). pp. 177-188. ISSN 0208-6573

Kumar, Narasimha (2014) Non-vanishing of derivatives of certain modular L-functions. Functiones et Approximatio, 51. pp. 121-132.

Kumar, Narasimha (2013) A 2-Adic Control Theorem for Modular Curves. International Journal of Number Theory, 9 (6). pp. 1605-1618. ISSN 1793-0421

Gun, S and Kumar, Narasimha (2013) A note on Fourier-Jacobi coefficients of Siegel modular forms. Archiv der Mathematik, 101 (6). pp. 519-524. ISSN 0003-889X

Conference or Workshop Item

Dalal, Tarun and Kumar, Narasimha (2017) ON NON-VANISHING AND SIGN CHANGES OF THE FOURIER COEFFICIENTS OF HILBERT CUSP FORMS. In: Proceedings of the Ropar Conference on ‘Number theory: Arithmetic, Diophantine and Transcendence, 22-25 December 2017, Punjab, India.

Thesis

Das, Arkabrata and Kumar, Narasimha (2019) A study on the coefficients of Eisenstein elements of prime square level. Masters thesis, Indian institute of technology Hyderabad.

Sinha, Saloni and Kumar, Narasimha (2018) A Brief Theory of Elliptic Curves. Masters thesis, Indian Institute of Technology, Hyderabad.

Mishra, shubham and Kumar, Narasimha (2018) Rational Points on Elliptic Curves. Masters thesis, Indian Institute of Technology Hyderabad.

Kaushik, S and Kumar, Narasimha (2018) Some topics on the Fourier coefficients of modular forms. PhD thesis, Indian institute of technology Hyderabad.

Chhillar, Pankaj and Kumar, Narasimha (2017) Representation Theory of finite groups (Reciprocity Laws). Masters thesis, Indian Institute of Technology Hyderabad.

Tankaria, Hardik and Kumar, Narasimha (2016) Hasse- Minkowski principle for Quadratic forms over Q. Masters thesis, Indian Institute of Technology Hyderabad.

Mishra, Pradeep Kumar and Kumar, Narasimha (2015) Rational points on elliptic curve & computation of rank of elliptic curve. Masters thesis, Indian Institute of Technology Hyderabad.