Non-vanishing of high derivatives of automorphic $L$-functions at the center of the critical strip

By Emmanuel Kowalski, P. Michel, Jeffrey M. Vanderkam. 2000

62 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Artificial Intelligence, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/dd4a4695637da0b93c126ae34b102cd893a21362

How researchers see this paper

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In Algebra and Number Theory

1. J. Brian Conrey
2. N. Snaith
3. Neil O'Connell
4. Siegfred Baluyot
5. Kannan Soundararajan
6. M. Young
7. Alexandra Florea
8. Persi Diaconis

In Mathematical Physics

1. J. Brian Conrey
2. N. Snaith
3. Neil O'Connell
4. Kannan Soundararajan
5. Siegfred Baluyot
6. Alexandra Florea
7. M. Young
8. Jon P Keating

Citations in the corpus

• Applications of the L‐functions ratios conjectures (2005, background): “1)Q′1 (1) P2(1)Q2(1) +θP˜2(1)Q′2 (1) +θ Q′ 1(0)Q2(0) Z1 0 P˜ 1(t)P′ 2(t)dt+Q1(0)Q′2 (0) Z1 0 P′ 1(t)P˜2(t)dt . Examples of second moment mollifying in an orthogonal family occur in [IS2] and [KMV]; in [KMV1] a fourth moment mollification is performed. 6. Mollifying the kth moment of ζ(s) Chris Hu”