Skip to main content

Universality

  • Chapter
  • 1179 Accesses

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1877))

Now we shall apply the limit theorem from Chap. 4 to derive information on the value-distribution of L-functions. Our approach follows Bagchi [9], respectively, the refinements of Laurinčikas [186]. Using the so-called positive density method, introduced by Laurinčikas and Matsumoto [200], we prove a universality theorem for functionsL ∈ S. Here, we shall make use of axiom (v). This result is essentially due to Steuding [345] (under slightly more restrictive conditions).

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(2007). Universality. In: Value-Distribution of L-Functions. Lecture Notes in Mathematics, vol 1877. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44822-8_5

Download citation

Publish with us

Policies and ethics