Hybrid subconvexity bounds for twisted L-functions on GL(3)

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Weyl-type Hybrid Subconvexity Bounds for Twisted L-functions and Heegner Points on Shrinking Sets

Let q be odd and squarefree, and let χq be the quadratic Dirichlet character of conductor q. Let uj be a Hecke-Maass cusp form on Γ0(q) with spectral parameter tj . By an extension of work of Conrey and Iwaniec, we show L(uj ×χq, 1/2) ≪ε (q(1 + |tj |))1/3+ε, uniformly in both q and tj . A similar bound holds for twists of a holomorphic Hecke cusp form of large weight k. Furthermore, we show tha...

متن کامل

Subconvexity for Twisted L-functions on Gl(3)

Let q be a large prime and χ the quadratic character modulo q. Let φ be a self-dual cuspidal Hecke eigenform for SL(3,Z), and f a Hecke-Maaß cusp form for Γ0(q) ⊆ SL2(Z). We consider the twisted L-functions L(s, φ × f × χ) and L(s, φ × χ) on GL(3) × GL(2) and GL(3) with conductors q6 and q3, respectively. We prove the subconvexity bounds L(1/2, φ× f × χ) φ,f,ε q, L(1/2 + it, φ× χ) φ,t,ε q for a...

متن کامل

Subconvexity Bounds for Automorphic L–functions

We break the convexity bound in the t–aspect for L–functions attached to cuspforms f for GL2(k) over arbitrary number fields k. The argument uses asymptotics with error term with a power saving, for second integral moments over spectral families of twists L(s, f ⊗χ) by grossencharacters χ, from our previous paper [Di-Ga]. §0. Introduction In many instances, for cuspidal automorphic forms f on r...

متن کامل

Subconvexity Bounds for Triple L-functions and Representation Theory

We describe a new method to estimate the trilinear period on automorphic representations of PGL2(R). Such a period gives rise to a special value of the triple L-function. We prove a bound for the triple period which amounts to a subconvexity bound for the corresponding special value of the triple L-function. Our method is based on the study of the analytic structure of the corresponding unique ...

متن کامل

A Twisted Motohashi Formula and Weyl-subconvexity for L-functions of Weight Two Cusp Forms

We derive a Motohashi-type formula for the cubic moment of central values of L-functions of level q cusp forms twisted by quadratic characters of conductor q, previously studied by Conrey and Iwaniec and Young. Corollaries of this formula include Weylsubconvex bounds for L-functions of weight two cusp forms twisted by quadratic characters, and estimates towards the Ramanujan-Petersson conjectur...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Science China Mathematics

سال: 2019

ISSN: 1674-7283,1869-1862

DOI: 10.1007/s11425-017-9428-6