NONVANISHING OF QUADRATIC TWISTS OF MODULAR L-FUNCTIONS AND APPLICATIONS TO ELLIPTIC CURVES

By Ken Ichi Ono. 2001

50 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Artificial Intelligence, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/6a3d002dc8995a73bf94de9590d5449cb6b8ca85

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. Kathrin Bringmann
2. Jeremy Lovejoy
3. Ken Ichi Ono
4. Robert Osburn
5. Frank G. Garvan
6. Karl Mahlburg
7. George E. Andrews
8. Robert C. Rhoades

In Artificial Intelligence

1. Kathrin Bringmann
2. Jeremy Lovejoy
3. Ken Ichi Ono

In Geometry and Topology

1. Kathrin Bringmann
2. Jeremy Lovejoy
3. Ken Ichi Ono
4. Dermot McCarthy
5. Robert Osburn
6. T. Kilbourn

Citations in the corpus

• RANK AND CONGRUENCES FOR OVERPARTITION PAIRS (2008, background): “From work of Ono [ 30, Theorem 2.2 ] and the classical decomposition of Sk( 1(N)), it follows that for any finite set of holomorphic integer weight cusp forms fi(z) on 1(Ni) with algebraic integer coefficients, a positive proportion of the primesp satisfy”
• Dyson’s ranks and Maass forms (2010, methodology): “Theorem 2.2 of [ 26 ] ensures that the set of such primes L has positive Frobenius density provided that a single such prime L - lcm(4,Q,N1,...,Ns) exists.”