ABC implies no “Siegel zeros” for L-functions of characters with negative discriminant

By Andrew Granville, H. Stark. 2000

49 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/f0bddc3ade693f86110bd30ecd983fa7dc584166

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. Habegger
2. J. Brian Conrey
3. Jonathan Pila
4. Henryk Iwaniec
5. Kannan Soundararajan
6. M. Young
7. Stephen D. Miller
8. W. Schmid

In Artificial Intelligence

1. Jonathan Pila
2. P. Habegger
3. Henryk Iwaniec
4. Jacob Tsimerman
5. Martin Widmer
6. Fabrizio Barroero

In Mathematical Physics

1. J. Brian Conrey
2. P. Habegger
3. Jonathan Pila
4. Henryk Iwaniec
5. Stephen D. Miller
6. W. Schmid
7. Kannan Soundararajan
8. Ziyang Gao

Citations in the corpus

• Spacing of zeros of Hecke L-functions and the class number problem (2001, background): “Moreover if L(s, χ) does have an exceptional zero s = β satisfying (1.8), then we have quite precise relations between β and h (see [GSc], [G1], [ GS ]).”
• Some unlikely intersections beyond André–Oort (2011, background): “By Remark 1 on page 515 [21] we have”