Normal number and Khinchin's constant.

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Can the continued fraction of a number which is not normal result in Khinchin's constant? If so, can you give an example of such a number?







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  • Near duplicate: math.stackexchange.com/questions/1918636/…
    – David G. Stork
    Aug 9 at 21:28










  • ams.org/journals/proc/2008-136-03/S0002-9939-07-09202-7 proves the constructions in ams.org/journals/mcom/1997-66-217/S0025-5718-97-00800-4
    – Will Jagy
    Aug 9 at 22:38










  • That is not a duplicate by any means.
    – Shalop
    Aug 9 at 22:39










  • as a pdf ams.org/journals/mcom/1997-66-217/S0025-5718-97-00800-4/… with proofs in ams.org/journals/proc/2008-136-03/S0002-9939-07-09202-7/…
    – Will Jagy
    Aug 9 at 22:45














up vote
0
down vote

favorite












Can the continued fraction of a number which is not normal result in Khinchin's constant? If so, can you give an example of such a number?







share|cite|improve this question




















  • Near duplicate: math.stackexchange.com/questions/1918636/…
    – David G. Stork
    Aug 9 at 21:28










  • ams.org/journals/proc/2008-136-03/S0002-9939-07-09202-7 proves the constructions in ams.org/journals/mcom/1997-66-217/S0025-5718-97-00800-4
    – Will Jagy
    Aug 9 at 22:38










  • That is not a duplicate by any means.
    – Shalop
    Aug 9 at 22:39










  • as a pdf ams.org/journals/mcom/1997-66-217/S0025-5718-97-00800-4/… with proofs in ams.org/journals/proc/2008-136-03/S0002-9939-07-09202-7/…
    – Will Jagy
    Aug 9 at 22:45












up vote
0
down vote

favorite









up vote
0
down vote

favorite











Can the continued fraction of a number which is not normal result in Khinchin's constant? If so, can you give an example of such a number?







share|cite|improve this question












Can the continued fraction of a number which is not normal result in Khinchin's constant? If so, can you give an example of such a number?









share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Aug 9 at 21:18









user575696

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  • Near duplicate: math.stackexchange.com/questions/1918636/…
    – David G. Stork
    Aug 9 at 21:28










  • ams.org/journals/proc/2008-136-03/S0002-9939-07-09202-7 proves the constructions in ams.org/journals/mcom/1997-66-217/S0025-5718-97-00800-4
    – Will Jagy
    Aug 9 at 22:38










  • That is not a duplicate by any means.
    – Shalop
    Aug 9 at 22:39










  • as a pdf ams.org/journals/mcom/1997-66-217/S0025-5718-97-00800-4/… with proofs in ams.org/journals/proc/2008-136-03/S0002-9939-07-09202-7/…
    – Will Jagy
    Aug 9 at 22:45
















  • Near duplicate: math.stackexchange.com/questions/1918636/…
    – David G. Stork
    Aug 9 at 21:28










  • ams.org/journals/proc/2008-136-03/S0002-9939-07-09202-7 proves the constructions in ams.org/journals/mcom/1997-66-217/S0025-5718-97-00800-4
    – Will Jagy
    Aug 9 at 22:38










  • That is not a duplicate by any means.
    – Shalop
    Aug 9 at 22:39










  • as a pdf ams.org/journals/mcom/1997-66-217/S0025-5718-97-00800-4/… with proofs in ams.org/journals/proc/2008-136-03/S0002-9939-07-09202-7/…
    – Will Jagy
    Aug 9 at 22:45















Near duplicate: math.stackexchange.com/questions/1918636/…
– David G. Stork
Aug 9 at 21:28




Near duplicate: math.stackexchange.com/questions/1918636/…
– David G. Stork
Aug 9 at 21:28












ams.org/journals/proc/2008-136-03/S0002-9939-07-09202-7 proves the constructions in ams.org/journals/mcom/1997-66-217/S0025-5718-97-00800-4
– Will Jagy
Aug 9 at 22:38




ams.org/journals/proc/2008-136-03/S0002-9939-07-09202-7 proves the constructions in ams.org/journals/mcom/1997-66-217/S0025-5718-97-00800-4
– Will Jagy
Aug 9 at 22:38












That is not a duplicate by any means.
– Shalop
Aug 9 at 22:39




That is not a duplicate by any means.
– Shalop
Aug 9 at 22:39












as a pdf ams.org/journals/mcom/1997-66-217/S0025-5718-97-00800-4/… with proofs in ams.org/journals/proc/2008-136-03/S0002-9939-07-09202-7/…
– Will Jagy
Aug 9 at 22:45




as a pdf ams.org/journals/mcom/1997-66-217/S0025-5718-97-00800-4/… with proofs in ams.org/journals/proc/2008-136-03/S0002-9939-07-09202-7/…
– Will Jagy
Aug 9 at 22:45















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