Ramanujan’s Theta Functions

Ramanujan’s Theta Functions

Shaun Cooper

204,37 €
IVA incluido
Consulta disponibilidad
Editorial:
Springer Nature B.V.
Año de edición:
2017
ISBN:
9783319561714

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)
¡Pregúntanos!
Sobre IBD

Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan’s results and extends them to a general theory. The author’s treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12.  Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research.Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.

Artículos relacionados

  • ZETA FUNCTIONS OF REDUCTIVE GROUPS AND THEIR ZEROS
    LIN WENG / WENG LIN
    This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology t...
  • The Norm Residue Theorem in Motivic Cohomology
    Charles A. Weibel / Christian Haesemeyer
    This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups.Although the proof relies on the work of several people, it is credited...
    Disponible

    114,75 €

  • Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions
    Anantharam Raghuram / Günter Harder
    This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of t...
  • Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions
    Anantharam Raghuram / Günter Harder
    This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of t...
    Disponible

    108,21 €

  • TOPOLOGY - HAWAII (P/H)
    K H DOVERMANN
    The articles in the proceedings are closely related to the lectures presented at the topology conference held at the University of Hawaii, August 12-18, 1990. These cover recent results in algebraic topology, algebraic transformation groups, real algebraic geometry, low-dimensional topology, and Nielsen Fixed Point Theory. ...
  • Computational Aspects of Modular Forms and Galois Representations
    Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan’s tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known algorithms for computing these Fourier coefficients took exponential time, excep...
    Disponible

    129,39 €