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Research Interest: Number Theory and Automorphic forms


Publications and Preprints

Strong orthogonality between the Mobius function, additive characters, and Fourier coefficients of cusp forms, with  E. Fouvry
 to appear in Compositio Mathematica.

Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions, with E. Fouvry, E. Kowalski, and P. Michel to appear in Commentarii Mathematici Helvetici.

Gaps between nonzero Fourier coefficients of cusp forms on SL (2, Z), with S. Das, to appear in Proceedings of the American Mathematical Society.

Nonvanishing of Poincare series on average, with S. Dasappeared in International Journal of Number Theory, Vol 09, Issue 01, February, 2013.

Linear relations among Poincare series, with S. Dasappeared in Bull. Lond. Math. Soc. 44 (2012), no. 5, 988-1000.

Sums of Kloosterman Sums Over Arithmetic Progressions, with J. Senguptaappeared in Int. Math. Res. Notices, Vol. 2012, 137-165, 2012.

Nonvanishing of central values of convolution L-functions, with A. Mukhopadhyay,  preprint. 

Determining modular forms on  SL (2, Z) by central values of convolution L-functions, with  J. Hoffstein and J. Senguptaappeared in Mathematische Annalen, Volume 345, Number 4, December, 2009.

Integers without large prime factors in short intervals: Conditional results, with G. Pal, appeared in Proceedings - Mathematical Sciences published by the Indian Academy of Sciences, Volume. 120, Number 5, November 2010.

On the dimension of the space of cusp forms of octahedral typeappeared in International Journal of Number Theory, Volume: 6, Issue: 4 (2010).

Large sieves and cusp forms of weight oneNumber Theory and Applications : Proceedings of the International Conferences on Number Theory and CryptographyEdited by S.D. Adhikari and B. Ramakrishnan, Hindustan Book Agency, 2009, xii, 278 p, ISBN : 8185931975.


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