
FACTORING WITH CONTINUED FRACTIONS, THE PELL
... from the squares of the numerators of the convergents to N , then one can work with weighted mediants of the convergents additionally. Thus we add to the CFRAC algorithm of the Section 3 as fourth step: if√the full period did not lead to a factorization of N , compute for 1 6 j 6 `( N ) and coprime ...
... from the squares of the numerators of the convergents to N , then one can work with weighted mediants of the convergents additionally. Thus we add to the CFRAC algorithm of the Section 3 as fourth step: if√the full period did not lead to a factorization of N , compute for 1 6 j 6 `( N ) and coprime ...
Lecture 5 11 5 Conjectures and open problems
... Partial results are known (see § 2.3.5 and 3.3.3). Large transcendence degree results deal, more generally, with the values of the usual exponential function at products xi yj , when x1 , . . . , xd and y1 , . . . , y` are Q-linearly independent complex (or p-adic) numbers. The six exponentials Theo ...
... Partial results are known (see § 2.3.5 and 3.3.3). Large transcendence degree results deal, more generally, with the values of the usual exponential function at products xi yj , when x1 , . . . , xd and y1 , . . . , y` are Q-linearly independent complex (or p-adic) numbers. The six exponentials Theo ...
REPRESENTATIONS OF THE REAL NUMBERS
... for w e W(•) and k • ~. Hence, 6L~(A) e 1: for any open subset A ~_ U:. Therefore z is the final topology of 6Lv. It is easy to show that 6Lv is admissible. [] The representation 6Lv is admissible (whatever v is chosen). Right-cut representations 6R~ can be defined correspondingly. In a recent paper ...
... for w e W(•) and k • ~. Hence, 6L~(A) e 1: for any open subset A ~_ U:. Therefore z is the final topology of 6Lv. It is easy to show that 6Lv is admissible. [] The representation 6Lv is admissible (whatever v is chosen). Right-cut representations 6R~ can be defined correspondingly. In a recent paper ...
Full text
... To conclude this section, we make a few comments about radix product "fractions" base q, that is, radix products of the form 0 * ccia^a-^ . . . , 0 < a^ < q - I. It is clear from the above algorithms that any 1 < A < 2 has a representation as a fractional radix product. (To obtain a product expansio ...
... To conclude this section, we make a few comments about radix product "fractions" base q, that is, radix products of the form 0 * ccia^a-^ . . . , 0 < a^ < q - I. It is clear from the above algorithms that any 1 < A < 2 has a representation as a fractional radix product. (To obtain a product expansio ...
40(1)
... Articles should be submitted using the format of articles in any current issues of THE FIBONACCI QUARTERLY. They should be typewritten or reproduced typewritten copies, that are clearly readable, double spaced with wide margins and on only one side of the paper. The full name and address of the auth ...
... Articles should be submitted using the format of articles in any current issues of THE FIBONACCI QUARTERLY. They should be typewritten or reproduced typewritten copies, that are clearly readable, double spaced with wide margins and on only one side of the paper. The full name and address of the auth ...