Shifted convolution sums and subconvexity bounds for automorphic L-functions

By V. Blomer. 2004

96 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f89a0ee32b3d29f15e5c115d1a7f9d4ebcffc887

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. V. Blomer
2. Y. Lau
3. Jianya Liu
4. Yangbo Ye
5. Djordje Milićević
6. P. Michel
7. R. Munshi
8. M. Young

In Geometry and Topology

1. Y. Lau
2. Jianya Liu
3. Yangbo Ye
4. Djordje Milićević
5. V. Blomer
6. M. Young
7. Ian Petrow

Citations in the corpus

• On moments of twisted L-functions (2014, unknown): “In[1] := Maximize[{Min[(m + n)/2 - 1, Max[(n - m - 1)/2, (n - m - 1)/4], (m + nstar - 1)/ 2, (m + nstar - 1)/2 + Max[-nstar/2, 11/64 - 3 (m + nstar)/16]], 0 = m, m = n, m + n = 2, nstar == 2 - n}, {m, n, nstar}] Out[1] := { − 1 144 , { m → 73 144 , n → 71 48 , nstar → 25 48 }} Section 7.3.”
• The Second Moment of Twisted Modular L-Functions (2014, result): “6= m λ1(m)λ2(n)V1 m M V2 n N . Correspondingly, the definition of D(ℓ1,ℓ2,h,N,M) in (3.7) is changed into (14.1) D(ℓ1,ℓ2,h,N,M) = X ℓ1n∓ℓ2m=h λ1(m)λ2(n)V1 ℓ2m M V2 ℓ1n N . As remarked in [Bl1], the results in this paper hold for Maaß forms as well, and they are also insensitive to a change of s”
• A new bound K2/3+ɛ for Rankin-Selberg ℒ-functions for Hecke congruence subgroups (2010, methodology): “b2≤X1+ε/2/Y 1 b V ( y Y b2 X ) = Qf⊗gk H(y) where H(·) is smooth function of compact support in [1, 2] and its rth derivative is Or,ε(1).”