Subconvexity for twisted L-functions on GL(3)

By V. Blomer. 2012

102 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/55397480f907f6e794a1507942614335d81ca493

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. P. Michel
2. Emmanuel Kowalski
3. R. Munshi
4. 'Etienne Fouvry
5. Akshay Venkatesh
6. V. Blomer
7. Gergely Harcos
8. Shou-wu Zhang

In Discrete Mathematics and Combinatorics

1. P. Michel
2. Emmanuel Kowalski
3. 'Etienne Fouvry
4. R. Munshi

In Mathematical Physics

1. P. Michel
2. Emmanuel Kowalski
3. R. Munshi
4. 'Etienne Fouvry
5. V. Blomer
6. Akshay Venkatesh
7. M. Young
8. Gergely Harcos

Citations in the corpus

• The circle method and bounds for L-functions---II: Subconvexity for twists of GL(3) L-functions (2012, background): “withU a compactly supported smooth bump function on (0,∞) satisfying U(y)= 1 for y ∈ [1,2] and U (j)(y) j 1, and B(n1,n2,m,q) := S(M2mM1,n2M1; q̂) ⎡ ⎣ ∑ bmodM1 χ̄1(M2m− b)S(bq̂,n2 ̄̂ q;M1) ⎤ ⎦ .”
• Algebraic trace functions over the primes (2012, methodology): “[1]; we could use similar methods, but at the expense of expressing our sums in terms of L-functions, and instead we use them directly, and resort to an iterative argument.”
• THE CIRCLE METHOD AND BOUNDS FOR L-FUNCTIONS - III: t-ASPECT SUBCONVEXITY FOR GL(3) L-FUNCTIONS (2013, methodology): “where t < K < t is a parameter which will be chosen optimally later, and U is a smooth function supported in [1/2, 5/2], with U(x) = 1 for x ∈ [1, 2] and U (j) j 1.”