Skip to main content

Fourier Series and Gauss Sums

  • Chapter
  • First Online:
Excursions in Number Theory, Algebra, and Analysis

Part of the book series: Undergraduate Texts in Mathematics ((READINMATH))

  • 1096 Accesses

Abstract

The basic functions that we will be concerned with in this chapter are for \(n = 0,1,2,3,\dotsc \). The elements of the vector spaces over \(\mathbb {R}\) spanned by these functions are called Thus a finite trigonometric series of degree at most n is a function of the form.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 59.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Al Cuoco .

Rights and permissions

Reprints and permissions

Copyright information

© 2023 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Ireland, K., Cuoco, A. (2023). Fourier Series and Gauss Sums. In: Excursions in Number Theory, Algebra, and Analysis. Undergraduate Texts in Mathematics(). Springer, Cham. https://doi.org/10.1007/978-3-031-13017-5_6

Download citation

Publish with us

Policies and ethics