Publications and preprints
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Rankin–Selberg L-functions and "beyond endoscopy” II, with Ramdin Mawia, to appear in J. Ramanujan Mathematical Society, 2022.
Zero-Free Regions for spectral averages of Hecke L-functions, with E.M. Sandeep (submitted)
A modular analogue of a problem of Vinogradov, with R. Acharya, S. Drappeau, O. Ramare (submitted)
Singular Gauss sums and a non-abelian Polya-Vinogradov inequality, with C. S. Rajan, Math. Annalen, May 2022.
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Coprimality of Fourier coefficients of eigenforms, with Arvind Kumar and Moni Kumari, Acta Arithmetica, appeared online, 2022.
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A note on standard zero-free regions for Rankin-Selberg L-functions, with Ramdin Mawia, Acta Arithmetica, published online, 2020.
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Sums of products of Kloosterman sums modulo $p^2$, with E. Fouvry, Acta Arithmetica, 2020.
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Rankin–Selberg L-functions and "beyond endoscopy”, with Ramdin Mawia, Math. Zeit., volume 296, 2020.
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A note on small gaps between nonzero Fourier coefficients of cusp forms, with S. Das, Proceedings of the American Mathematical Society, Volume 144, Number 6, 2016.
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Strong orthogonality between the Mobius function, additive characters, and Fourier coefficients of cusp forms, with E. Fouvry, Compositio Mathematica, Volume 150, Issue 05, 2014.
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Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions, with E. Fouvry, E. Kowalski, and P. Michel, Commentarii Mathematici Helvetici, Volume 89, Issue 04, 2014.
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Gaps between nonzero Fourier coefficients of cusp forms, with S. Das, Proceedings of the American Mathematical Society, Volume 142, Number 11, 2014.
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Nonvanishing of Poincare series on average, with S. Das, International Journal of Number Theory, Vol 09, Issue 01, February, 2013.
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Linear relations among Poincare series, with S. Das, a Bull. Lond. Math. Soc. 44 (2012), no. 5, 988-1000.
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Sums of Kloosterman Sums Over Arithmetic Progressions, with J. Sengupta, IMRN (Int. Math. Res. Notices), Vol. 2012, 137-165, 2012.
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Corrigendum to “Sums of Kloosterman Sums over Arithmetic Progressions”, with J. Sengupta, IMRN (Int. Math. Res. Notices), February, 2020.
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Nonvanishing of central values of convolution L-functions, with A. Mukhopadhyay (unpublished).
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Determining modular forms on SL (2, Z) by central values of convolution L-functions, with J. Hoffstein and J. Sengupta, Mathematische Annalen, Volume 345, Number 4, December, 2009.
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Integers without large prime factors in short intervals: Conditional results, with G. Pal, Proceedings - Mathematical Sciences published by the Indian Academy of Sciences, Volume. 120, Number 5, November 2010.
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On the dimension of the space of cusp forms of octahedral type, International Journal of Number Theory, Volume: 6, Issue: 4 (2010).
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Large sieves and cusp forms of weight one, Number Theory and Applications, Proceedings of the International Conferences on Number Theory and Cryptography, Edited by S.D. Adhikari and B. Ramakrishnan, Hindustan Book Agency, 2009, xii, 278 p, ISBN : 8185931975.
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