Lectures on P-Adic L-Functions

Lectures on P-Adic L-Functions

Kenkichi Iwasawa / Kinkichi Iwasawa

90,88 €
IVA incluido
Disponible
Editorial:
Princeton University Press
Año de edición:
1972
ISBN:
9780691081120
90,88 €
IVA incluido
Disponible

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)
Sobre IBD

An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet.Professor Iwasawa reviews the classical results on Dirichlet’s L-functions and sketches a proof for some of them. Next he defines generalized Bernoulli numbers and discusses some of their fundamental properties. Continuing, he defines p-adic L-functions, proves their existence and uniqueness, and treats p-adic logarithms and p-adic regulators. He proves a formula of Leopoldt for the values of p-adic L-functions at s=1. The formula was announced in 1964, but a proof has never before been published. Finally, he discusses some applications, especially the strong relationship with cyclotomic fields.

Artículos relacionados

  • Fearless Symmetry
    Avner Ash / Robert Gross
    Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them. Hidden symmetri...
    Disponible

    45,64 €

  • The Gross-Zagier Formula on Shimura Curves
    Shou-Wu Zhang / Wei Zhang / Xinyi Yuan
    This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation of the Gross-Zagier formula in ter...
  • Prime-Detecting Sieves (LMS-33)
    Glyn Harman
    This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre’s form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably...
  • Prime-Detecting Sieves (LMS-33)
    Glyn Harman
    This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre’s form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably...
    Disponible

    114,46 €

  • Non-abelian Fundamental Groups and Iwasawa Theory
    ...
    Disponible

    109,19 €

  • The largest known prime number
    Philipi Schneider
    Note: This is no longer the largest known prime number. The Mersenne project announced the discovery of a larger prime number on October 21, 2024. We have already published a new edition with the newly discovered number.A prime number is a natural number greater than 1 with no divisors other than 1 and itself. According to Euclid’s theorem there are infinitely many prime number...
    Disponible

    35,81 €