
Vinkkaa tuotetta kavereillesi:
Congruences for L-functions - Mathematics and Its Applications 1st Ed. Softcover of Orig. Ed. 2000 edition
Jerzy Urbanowicz
Tilattu etävarastosta
Löytyy myös muodossa:
Congruences for L-functions - Mathematics and Its Applications 1st Ed. Softcover of Orig. Ed. 2000 edition
Jerzy Urbanowicz
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
256 pages, biography
Media | Kirjat Paperback Book (Kirja pehmeillä kansilla ja liimatulla selällä) |
Julkaisupäivämäärä | keskiviikko 15. joulukuuta 2010 |
ISBN13 | 9789048154906 |
Tuottaja | Springer |
Sivujen määrä | 256 |
Mitta | 156 × 234 × 14 mm · 385 g |
Kieli | English |
Katso kaikki joka sisältää Jerzy Urbanowicz ( Esim. Hardcover Book Ja Paperback Book )