⌘+K

Pulse Explore Communities Researchers Journals

Home Communities Explore

June 8, 2012International Journal of Number Theory

Non-Vanishing of Dirichlet L-Functions at the Central Point

View at Publisher

Ask AI

Bookmark

Share

Abstract

Let χ be a primitive Dirichlet character modulo q and L(s, χ) be the Dirichlet L-function associated to χ. Using a new two-piece mollifier we show that L(½, χ) ≠ 0 for at least 34% of the characters in the family.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Hung M. Bui (2012) studied this question.

synapsesocial.com/papers/69daaf6785037e71b2684940 https://doi.org/10.1142/s1793042112501060

View at Publisher

Ask AI

Bookmark

Share

Keep reading

Synapse has enriched 5 related papers. Consider them for comparative context:

1Autocorrelation of ratios of $L$-functionsOriginal Research · 2008 · 124 citations
2Applications of the<i>L</i>-functions ratios conjecturesOriginal Research · 2007 · 135 citations
3Mean‐values of the Riemann zeta‐functionReview · 1995 · 109 citations
4Nonvanishing of Quadratic Dirichlet L-Functions at S = &#189Original Research · 2000 · 142 citations
5On the Values of a Polynomial Associated with Quadratic Residues at Roots of UnityInternational Journal of Number Theory · Thu,

More from International Journal of Number Theory

On the quadratic twist of elliptic curves with full 2-torsionFri,
Some q -supercongruences related to the (A.3) and (D.3) conjectures of SwisherFri,
On the ring of endomorphisms of a certain class of quasi-Abelian varieties arising from non-totally real number fieldsFri,
On The Structure Of Prime-Detecting Quasimodular Forms In Higher LevelsWed,
Difference of the sum of diverse parts of some colored partitionsWed,