Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Sinha, Kaneenika"'
Let $F $ be a totally real number field and $r=[F :\mathbb{Q}].$ Let $A_k(\mathfrak{N},\omega) $ be the space of holomorphic Hilbert cusp forms with respect to $K_1(\mathfrak{N})$, weight $k=(k_1,\,...\,,k_r)$ with $k_j>2,$ for all $j$ and central He
Externí odkaz:
http://arxiv.org/abs/2307.16736
Autor:
Mahajan, Jewel, Sinha, Kaneenika
In \cite{BS}, Balasubramanyam and the second named author derived the first moment of the pair correlation function for Hecke angles lying in small subintervals of $[0,1]$ upon averaging over large families of Hecke newforms of weight $k$ with respec
Externí odkaz:
http://arxiv.org/abs/2206.01911
Autor:
Mahajan, Jewel, Sinha, Kaneenika
Publikováno v:
In Journal of Number Theory April 2024 257:24-97
The objectives of this article are three-fold. Firstly, we present for the first time explicit constructions of an infinite family of \textit{unbalanced} Ramanujan bigraphs. Secondly, we revisit some of the known methods for constructing Ramanujan gr
Externí odkaz:
http://arxiv.org/abs/1910.03937
The second and third-named authors (arXiv:1705.04115) established a Central Limit Theorem for the error term in the Sato-Tate law for families of modular forms. This method was adapted to families of elliptic curves in by the first and second-named a
Externí odkaz:
http://arxiv.org/abs/1906.06982
We investigate the pair correlation statistics for sequences arising from Hecke eigenvalues with respect to spaces of primitive modular cusp forms. We derive the average pair correlation function of Hecke angles lying in small subintervals of $[0,1]$
Externí odkaz:
http://arxiv.org/abs/1809.10863
Autor:
Prabhu, Neha, Sinha, Kaneenika
We study fluctuations in the distribution of families of $p$-th Fourier coefficients $a_f(p)$ of normalised holomorphic Hecke eigenforms $f$ of weight $k$ with respect to $SL_2(\mathbb{Z})$ as $k \to \infty$ and primes $p \to \infty.$ These families
Externí odkaz:
http://arxiv.org/abs/1705.04115
Publikováno v:
In Journal of Number Theory September 2019 202:107-140
We study the distribution of the zeroes of the zeta functions of the family of Artin-Schreier covers of the projective line over $\mathbb{F}_q$ when $q$ is fixed and the genus goes to infinity. We consider both the global and the mesoscopic regimes,
Externí odkaz:
http://arxiv.org/abs/1111.4701
Autor:
Lalín, Matilde, Sinha, Kaneenika
The $k$-higher Mahler measure of a nonzero polynomial $P$ is the integral of $\log^k|P|$ on the unit circle. In this note, we consider Lehmer's question (which is a long-standing open problem for $k=1$) for $k>1$ and find some interesting formulae fo
Externí odkaz:
http://arxiv.org/abs/1106.1304