Results 21 to 30 of about 264 (42)
Dirichlet polynomials, Majorization, and Trumping
, 2013 Majorization and trumping are two partial orders which have proved useful in quantum information theory. We show some relations between these two partial orders and generalized Dirichlet polynomials, Mellin transforms, and completely monotone functions ...
Pereira, Rajesh, Plosker, Sarah
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On the spinor L-function of Miyawaki-Ikeda lifts
, 2013 We consider lifts from two elliptic modular forms to Siegel modular forms of odd degrees which are special cases of Miyawaki-Ikeda lifts. Assuming non-vanishing of these Miyawaki-Ikeda lifts, we show that the spinor L-functions of these Miyawaki-Ikeda ...
Hayashida, Shuichi
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Evaluating $L$-functions with few known coefficients
, 2013 We address the problem of evaluating an $L$-function when only a small number of its Dirichlet coefficients are known. We use the approximate functional equation in a new way and find that is possible to evaluate the $L$-function more precisely than one ...
Farmer, David W., Ryan, Nathan C.
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Bounds for twisted symmetric square $L$-functions - III
, 2012 Let $f$ be a newform, and let $\chi$ be a primitive character of conductor $q^{\ell}$. Assume that $q$ is an odd prime. In this paper we prove the subconvex bound $$ L(\t1/2,\Sym f\otimes\chi)\ll_{f,q,\varepsilon} q^{3\ell(1/4-1/36+\varepsilon)} $$ for ...
Blomer +8 more
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Shifted convolution sums for $GL(3)\times GL(2)$
, 2012 For the shifted convolution sum $$ D_h(X)=\sum_{m=1}^\infty\lambda_1(1,m)\lambda_2(m+h)V(\frac{m}{X}) $$ where $\lambda_1(1,m)$ are the Fourier coefficients of a $SL(3,\mathbb Z)$ Maass form $\pi_1$, and $\lambda_2(m)$ are those of a $SL(2,\mathbb Z ...
Munshi, Ritabrata
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Bounds for twisted symmetric square $L$-functions
, 2012 Let $f\in S_k(N,\psi)$ be a newform, and let $\chi$ be a primitive character of conductor $q^{\ell}$. Assume that $q$ is a prime and $\ell>1$. In this paper we describe a method to establish convexity breaking bounds of the form $$ L(\tfrac{1}{2},\Sym f ...
Munshi, Ritabrata
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Regulator proofs for Boyd's identities on genus 2 curves
, 2018 We use the elliptic regulator to recover some identities between Mahler measures involving certain families of genus 2 curves that were conjectured by Boyd and proven by Bertin and Zudilin by differentiating the Mahler measures and using hypergeometric ...
Lalín, Matilde, Wu, Gang
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Varieties via their L-functions
, 2018 We describe a procedure for determining the existence, or non-existence, of an algebraic variety of a given conductor via an analytic calculation involving L-functions.
Farmer, David W. +2 more
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Simultaneous nonvanishing of Dirichlet $L$-functions and twists of Hecke-Maass L-functions
, 2014 We prove that given a Hecke-Maass form $f$ for $\text{SL}(2, \mathbb{Z})$ and a sufficiently large prime $q$, there exists a primitive Dirichlet character $\chi$ of conductor $q$ such that the $L$-values $L(\tfrac{1}{2}, f \otimes \chi)$ and $L(\tfrac{1}{
Das, Soumya, Khan, Rizwanur
core
Applications of the Kuznetsov formula on GL(3). [PDF]
Invent Math, 2013 Blomer V.
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