zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Congruences for the q-secant numbers. (English) Zbl 0455.10006

MSC:
11B39Fibonacci and Lucas numbers, etc.
11A07Congruences; primitive roots; residue systems
05A15Exact enumeration problems, generating functions
WorldCat.org
Full Text: DOI
References:
[1] André, D.: Sur LES permutations alternées. J. math. Pures appl. 7, 167-184 (1881) · Zbl 13.0152.02
[2] Andrews, G. E.: The theory of partitions. (1976) · Zbl 0371.10001
[3] Andrews, G. E.; Gessel, I.: Divisibility properties of the q-tangent numbers. Proc. amer. Math. soc. 68, 380-384 (1978) · Zbl 0401.10020
[4] Gessel, I.: Generating functions and enumeration of sequences, ph.d. Thesis. (1977)
[5] Jackson, F. H.: A basic-sine and cosine with symbolical solutions of certain differential equations. Proc. Edinburgh math. Soc. 22, 28-39 (1904) · Zbl 35.0445.01
[6] Nielsen, N.: Traité élémentaire des nombres de Bernoulli. (1923) · Zbl 50.0170.04
[7] D. Rawlings, Generalized Worpitzky identities, with applications to permutation enumeration, European J. Combin., to appear. · Zbl 0471.05006
[8] Schützenberger, M. P.: Oral communication. (1975)
[9] Stanley, R. P.: Binomial posets. Möbius inversion and permutation enumeration, J. Combin. theory ser. A 20, 336-356 (1976) · Zbl 0331.05004