BOOKS

• An introduction to the circle method, M. Ram Murty and Kaneenika Sinha, Vol. 104, Student Mathematical Library (STML) series of the American Mathematical Society.

      RESEARCH ARTICLES

• Multiple Hurwitz zeta functions, M. Ram Murty and Kaneenika Sinha, Multiple Dirichlet series, automorphic forms, and analytic number theory, Proceedings of Symposia in Pure Mathematics, Vol. 75 (2006), 135-156.


• Average orders of certain arithmetical functions, Kaneenika Sinha, Journal of the Ramanujan Mathematical Society, Vol. 21, No. 3 (2006), 267-277, Corrigendum.


• Effective equidistribution of eigenvalues of Hecke operators, M. Ram Murty and Kaneenika Sinha, Journal of Number Theory, Vol. 129 (2009), 681-714.


• Factoring newparts of Jacobians of certain modular curves, M. Ram Murty and Kaneenika Sinha, Proceedings of the American Mathematical Society, Vol. 138 (2010), 3481-3494.


• Higher Mahler measure for cyclotomic polynomials and Lehmer’s question, Matilde Lalín and Kaneenika Sinha, Ramanujan Journal, Vol. 26, No. 2 (2011), 257-294.


• Distribution of zeta zeroes of Artin-Schreier curves, Alina Bucur, Chantal David, Brooke Feigon, Matilde Lalín, and Kaneenika Sinha,  Mathematical Research Letters,Vol. 19, No. 6 (2012), 1329-1356. 


• The generalized Dedekind determinant, M. Ram Murty and Kaneenika Sinha, SCHOLAR (a Scientific Celebration Highlighting Open Lines of Arithmetic Research), Contemporary Mathematics, Vol. 655 (2015), 153-164


• Fluctuations in the distribution of Hecke eigenvalues about the Sato-Tate measure, Neha Prabhu and Kaneenika Sinha, International Mathematics Research Notices, Vol. 2019, Issue 12, 3768-3811.


• Pair correlation statistics for Sato-Tate sequences, Baskar Balasubramanyam and Kaneenika Sinha, Journal of Number Theory, Vol. 202 (September, 2019), 107-140.


• Central limit theorems for elliptic curves and modular forms with smooth weight functions, Stephan Baier, Neha Prabhu and Kaneenika Sinha, Journal of Mathematical Analysis and Applications, Vol. 485, Issue 1 (May, 2020).


• New and explicit constructions of unbalanced Ramanujan bipartite graphs, Shantanu Prasad Burnwal, Kaneenika Sinha and Mathukumalli Vidyasagar, The Ramanujan Journal, Vol. 57, no. 3 (2022), 1043–1069.


• Higher moments of the pair correlation function for Sato-Tate sequences, Jewel Mahajan and Kaneenika Sinha, Journal of Number Theory, Vol. 257, April 2024, 24–97.


• A discrepancy result for Hilbert modular forms, Baskar Balasubramanyam, Jishu Das and Kaneenika Sinha, submitted.