Results 11 to 20 of about 257 (49)
Doubling constructions and tensor product L-functions: coverings of the symplectic group
Forum of Mathematics, SigmaIn this work, we develop an integral representation for the partial L-function of a pair $\pi \times \tau $ of genuine irreducible cuspidal automorphic representations, $\pi $ of the m-fold covering of Matsumoto of the symplectic group $
Eyal Kaplan
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Quasi-polynomial representations of double affine Hecke algebras
Forum of Mathematics, SigmaWe introduce an explicit family of representations of the double affine Hecke algebra $\mathbb {H}$ acting on spaces of quasi-polynomials, defined in terms of truncated Demazure-Lusztig type operators.
Siddhartha Sahi +2 more
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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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Forum of Mathematics, SigmaThis article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological ...
A. Raghuram
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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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The circle method and bounds for $L$-functions - I [PDF]
, 2012 Let $f$ be a Hecke-Maass or holomorphic primitive cusp form of arbitrary level and nebentypus, and let $\chi$ be a primitive character of conductor $M$. For the twisted $L$-function $L(s,f\otimes \chi)$ we establish the hybrid subconvex bound $$ L(1/2+it,
Munshi, Ritabrata
core
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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Subconvex bounds on GL(3) via degeneration to frequency zero
, 2018 For a fixed cusp form $\pi$ on $\operatorname{GL}_3(\mathbb{Z})$ and a varying Dirichlet character $\chi$ of prime conductor $q$, we prove that the subconvex bound \[ L(\pi \otimes \chi, \tfrac{1}{2}) \ll q^{3/4 - \delta} \] holds for any $\delta < 1/36$.
Holowinsky, Roman, Nelson, Paul D.
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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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Non-vanishing of $L$-functions associated to cusp forms of half-integral weight
, 2013 In this article, we prove non-vanishing results for $L$-functions associated to holomorphic cusp forms of half-integral weight on average (over an orthogonal basis of Hecke eigenforms). This extends a result of W.
G. Shimura +7 more
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