[Fwd (from Labos Elemer): Re: A suggestion concerning the future of OEIS.]

Antti Karttunen karttu at megabaud.fi
Wed Aug 1 13:23:31 CEST 2001

Labos Elemer asked me to forward this reply of his (to my
message) to SeqFan-list, as he accidentally sent it privately
only to me. I have taken the liberty to delete most of the longish
quotation of my original message.

-------- Original Message --------
Subject: Re: A suggestion concerning the future of OEIS.
Date: Wed, 1 Aug 2001 12:55:43 GMT+100
From: "Labos Elemer" <LABOS at ana1.sote.hu>
To: karttu at megabaud.fi

> PS. Here's the AMS section 11-XX = Number theory as a sample
> from http://www.ams.org/msc/11-XX.html
>      11Axx Elementary number theory {For analogues in number fields, see 11R04} 
>      11Bxx Sequences and sets 
>      11Cxx Polynomials and matrices 
>      11Dxx Diophantine equations [See also 11Gxx, 14Gxx] 
>      11Exx Forms and linear algebraic groups [See also 19Gxx] {For quadratic forms in linear algebra, see 15A63} 
>      11Fxx Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} 
>      11Gxx Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14-XX, 14Gxx, 14Kxx] 
>      11Hxx Geometry of numbers {For applications in coding theory, see 94B75} 
>      11Jxx Diophantine approximation, transcendental number theory [See also 11K60] 
>      11Kxx Probabilistic theory: distribution modulo $1$; metric theory of algorithms 
>      11Lxx Exponential sums and character sums {For finite fields, see 11Txx} 
>      11Mxx Zeta and $L$-functions: analytic theory 
>      11Nxx Multiplicative number theory 
>      11Pxx Additive number theory; partitions 
>      11Rxx Algebraic number theory: global fields {For complex multiplication, see 11G15} 
>      11Sxx Algebraic number theory: local and $p$-adic fields 
>      11Txx Finite fields and commutative rings (number-theoretic aspects) 
>      11Uxx Connections with logic 
>      11Yxx Computational number theory [See also 11-04] 
>      11Z05 Miscellaneous applications of number theory 
> And 11Axx: from http://www.ams.org/msc/11Axx.html
> 11Axx
>  Elementary number theory
>  {For analogues in number fields, see 11R04} 
> 11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors
> 11A07 Congruences; primitive roots; residue systems
> 11A15 Power residues, reciprocity
> 11A25 Arithmetic functions; related numbers; inversion formulas
> 11A41 Primes
> 11A51 Factorization; primality
> 11A55 Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15]
> 11A63 Radix representation; digital problems {For metric results, see 11K16}
> 11A67 Other representations
> 11A99 None of the above, but in this section
> I guess the section 11A63 means our beloved base-sequences.
> And 11Bxx = Sequences and sets from http://www.ams.org/msc/11Bxx.html
> 11B05 Density, gaps, topology
> 11B13 Additive bases [See also 05B10]
> 11B25 Arithmetic progressions [See also 11N13]
> 11B34 Representation functions
> 11B37 Recurrences {For applications to special functions, see 33-XX}
> 11B39 Fibonacci and Lucas numbers and polynomials and generalizations
> 11B50 Sequences (mod $m$)
> 11B57 Farey sequences; the sequences ${1^k, 2^k, \cdots}$
> 11B65 Binomial coefficients; factorials; $q$-identities [See also 05A10, 05A30]
> 11B68 Bernoulli and Euler numbers and polynomials
> 11B73 Bell and Stirling numbers
> 11B75 Other combinatorial number theory
> 11B83 Special sequences and polynomials
> 11B85 Automata sequences
> 11B99 None of the above, but in this section

A kind of well codable classification is required. As a good start
this is promizing. 
Keep alive NJAS (e.g. send vitamins him), he has a lot to do. 
Hardy and Wright gone without leaving Contents or Index to their 
classical book.
Somewhere on Net an ambitious classification of the whole mathematics 
is available.
The growing rate of EIS is about :
   its size is doubled in 3 years
In 12 years 1 millions may be reached.
Another issue:
I did not find in EIS the Empty-Sequence,
only its characteristic sequence..
What to do?
Labos E.

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