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Theabc–conjecture for Algebraic Numbers

✍ Scribed by Jerzy Browkin

Book ID
106277816
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
224 KB
Volume
22
Category
Article
ISSN
1439-7617

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📜 SIMILAR VOLUMES

On Grimm's conjecture in algebraic numbe
On Grimm's conjecture in algebraic number fields. II
✍ Neela S Sukthankar (Rege) 📂 Article 📅 1975 🏛 Elsevier Science ⚖ 513 KB

Let k be an algebraic number field of degree n over &, n =rl+ 2rs and let WI, . . . . Wn be a fixed basis of the ring of integers o over 2. For z E k, z= zB1 qwt, at E (1, c(z, R) will denote the disc {c E k, c= 2 biwi, bt E Q, ~i1~-bt12=zfi} and ~(0, R) will be the disc (CE k, 5= zbtiwr, xb; (log ]

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✍ Neela S Sukthankar (REGE) 📂 Article 📅 1977 🏛 Elsevier Science ⚖ 299 KB

Let 2 be the ring of rational integers. For n E Z, w(n) denotes the number of distinct prime factors of n. In [4] Ramachandra, Shorey and Tijdeman proved that if 1 k, where c > 0 is an effectively computable constant. In this paper, we will generalise this problem to the case of imaginary quadratic