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)
Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions. (English) Zbl 1173.11064

The author continues his long series of papers around Bernoulli numbers and polynomials, Riemann’s and Hurwitz’s zeta function and Dirichlet’s L-functions, in particular their twisted and q-twisted versions. (Here q denotes either a complex or a p-adic number satisfying certain conditions.) The main purpose of the present article is, as the author says in the abstract, to study generating functions of twisted and q-twisted Bernoulli numbers and polynomials. The functions mentioned above are constructed from these by using the Mellin transform. The article seems to be partly of a survey type with numerous references to previous results, and it is not always clear what is new.

There are many lapses and some confusing statements showing that the author should have checked his text more carefully.


MSC:
11S40Zeta functions and L-functions of local number fields
11B68Bernoulli and Euler numbers and polynomials
11S80Other analytic theory of local fields
44A20Integral transforms of special functions