Science & Math | Mathematics
Congruences for L-Functions
by J. Urbanowicz 2020-05-30 07:48:03
image1
COMPARE PRICE
In [Hardy and Williams, 1986] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary quadratic fields modulo a certain power of 2. Their congruence provided a unified setting for many congruences p... Read more
In [Hardy and Williams, 1986] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary quadratic fields modulo a certain power of 2. Their congruence provided a unified setting for many congruences proved previously by other authors using various means. The Hardy-Williams idea was as follows. Let d be the discriminant of a quadratic field. Suppose that d is odd and let d = PIP2- . . Pn be its unique decomposition into prime discriminants. Then, for any positive integer k coprime with d, the congruence holds trivially as each Legendre-Jacobi-Kronecker symbol (<) has the value + 1 or -1. Expanding this product gives < eld e:=l (mod4) where e runs through the positive and negative divisors of d and v (e) denotes the number of distinct prime factors of e. Summing this congruence for o < k < Idl/8, gcd(k, d) = 1, gives < (-It(e) < (<) =:O(mod2n). eld o Less
  • File size
  • Print pages
  • Publisher
  • Publication date
  • Language
  • ISBN
  • 23.4 X 15.6 X 0 in
  • 256
  • Kluwer Boston Inc.
  • June 30, 2000
  • English
  • 9789401595421
autor-image
J. Urbanowicz
Author
...
Compare Prices
image
Buy USD 31.33
image
Hard Cover
Buy CAD 165.95
image
Buy CAD 164.51
image
Buy GBP 137.25
Available Discount
12 % OFF
12% off Academic Book Titles (ebooks.com)
Show Coupon Code

See More Details

Description: Back to School Promotion at eBooks.com. 12% off Academic book titles. Landing page is on our academics category page. Static image.

10 % OFF
Save 10% OFF on Student Text Books (ebooks.com)
Show Coupon Code

See More Details

Description: Purchase textbooks at student discounts!

20 % OFF
20% Off on selected Categories
Show Coupon Code

See More Details

Description: 20% Off these Categories- Body Mind & Spirit, Family & Relationships, Foreign Language Study, History, Sports & Recreation. Offer Lasts all through January.

Related Books
view all
image1
Analyzing Longitudinal Clinical Trial Data:
image1
Introduction to Mathematical Philosophy:
image1
Applied Linear Algebra:
image1
College Algebra:
image1
Solutions Manual to accompany Fundamentals of Matrix Analysis with Applications:
image1
99 Variations on a Proof:
image1
Deductive Logic:
image1
A Treatise on Probability:
image1
Bayesian Inference for Stochastic Processes:
image1
Solving Problems in Geometry:
image1
Orthogonal Polynomials and Painlevé Equations:
image1
The King of Infinite Space : Euclid and His Elements:
image1
The philosophy of mathematics:
image1
Time Series Analysis with Long Memory in View:
image1
Set Theory An Introduction To Independence Proofs:
image1
Probability:
image1
An Introduction to Generalized Linear Models:
image1
Intermediate Algebra & Analytic Geometry:
image1
Trigonometry Essentials Practice Workbook with Answers:
image1
Topics in Computational Number Theory Inspired by Peter L. Montgomery:
image1
The Earliest Arithmetics in English:
image1
College Placement Math Success in 20 Minutes a Day:
image1
Introduction to Lie Groups and Lie Algebra, 51:
image1
Mathematical Modeling and Applied Calculus:
image1
How to Think Like a Mathematician:

Stay in touch.

© 2024 AMPLE READS