Trigonometric Sums and Their Applications

  • Andrei Raigorodskii
  • Michael Th. Rassias

Table of contents

  1. Front Matter
    Pages i-x
  2. Nikita Derevyanko, Kirill Kovalenko, Maksim Zhukovskii
    Pages 1-28
  3. Horst Alzer, Man Kam Kwong
    Pages 71-84
  4. Horst Alzer, Omran Kouba
    Pages 85-96
  5. Helmut Maier, Michael Th. Rassias, Andrei Raigorodskii
    Pages 149-158
  6. Branko Malešević, Tatjana Lutovac, Marija Rašajski, Bojan Banjac
    Pages 159-167
  7. Maxim A. Korolev, Andrei V. Shubin
    Pages 169-182
  8. Gradimir V. Milovanović, Yilmaz Simsek
    Pages 183-228
  9. I. D. Shkredov
    Pages 261-272
  10. Back Matter
    Pages 307-311

About this book


This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific disciplines. Graduate students and researchers will find within this book numerous examples and a plethora of results related to trigonometric sums through pure and applied research along with open problems and new directions for future research.


Trigonometric Sums approximation theory analytic number theory problem solving applications special functions Trigonometric Series

Editors and affiliations

  • Andrei Raigorodskii
    • 1
  • Michael Th. Rassias
    • 2
  1. 1.Moscow Institute of Physics and Technology, Dolgoprudny, Russia, Moscow state University, Moscow, Russia, Buryat State University, Ulan-Ude, RussiaCaucasus Mathematical Center, Adyghe State UniversityMaykopRussia
  2. 2.Institute of Mathematics, University of Zurich, Zurich, Switzerland, Moscow Institute of Physics and Technology, Dolgoprudny, RussiaInstitute for Advanced Study Program in Interdisciplinary StudiesPrincetonUSA

Bibliographic information