Visit our Christmas Gift Finder
Click & Collect from 2 Hours
Last Christmas Delivery Dates
Free UK Standard Delivery on orders £20 and over Order in time for Christmas 18th December 2nd Class | 19th December 1st Class Free Click & Collect to shops From 2 hours of your order*
Density of Prime Divisors of Linear Recurrences - Memoirs of the American Mathematical Society (Paperback)
  • Density of Prime Divisors of Linear Recurrences - Memoirs of the American Mathematical Society (Paperback)
zoom

Density of Prime Divisors of Linear Recurrences - Memoirs of the American Mathematical Society (Paperback)

£41.95
Paperback 102 Pages / Published: 30/05/1995
  • Not available

This product is currently unavailable.

  • This item has been added to your basket
A result due to Hasse says that, on average, 17 out of 24 consecutive primes will divide a number in the sequence $U_n = 2^n+1$. There are few sequences of integers for which this relative density can be computed exactly. In this work, Ballot links Hasse's method to the concept of the group associated with the set of second-order recurring sequences having the same characteristic polynomial and to the concept of the rank of prime division in a Lucas sequence. This combination of methods and ideas allows the establishment of new density results. Ballot also shows that this synthesis can be generalized to recurring sequences of any order, for which he also obtains new density results. All the results can be shown to be in close agreement with the densities computed using only a small set of primes. This well-written book is fairly elementary in nature and requires only some background in Galois theory and algebraic number theory.

Publisher: American Mathematical Society
ISBN: 9780821826102
Number of pages: 102
Weight: 227 g
Dimensions: 255 x 180 mm

You may also be interested in...

Single Digits
Added to basket
£21.00
Hardback
Number Theory
Added to basket
£11.99
Paperback
The Higher Arithmetic
Added to basket
The Theory of Algebraic Numbers
Added to basket
An Introduction to the Theory of Numbers
Added to basket
Elementary Number Theory
Added to basket
The Man of Numbers
Added to basket
£12.99
Paperback
A Comprehensive Course in Number Theory
Added to basket
As Easy As Pi
Added to basket
£6.99
Paperback
104 Number Theory Problems
Added to basket
Euclid's Elements
Added to basket
£21.99
Paperback
Introduction to Complex Analysis
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.