Skip to main content

Universality

  • Chapter
  • 1105 Accesses

Part of the Lecture Notes in Mathematics book series (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).

Keywords

  • Compact Subset
  • Random Element
  • Dirichlet Series
  • Exponential Type
  • Convergent Series

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   59.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   79.95
Price excludes VAT (Canada)
  • 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