Complex B-splines and Hurwitz zeta functions

B. Forster; R. Garunkštis; P. Massopust; J. Steuding

doi:10.1112/S146115701300003X

Complex B-splines and Hurwitz zeta functions

B. Forster
, R. Garunkštis
, P. Massopust
, J. Steuding

Universität Passau
Helmholtz Zentrum München German Research Center for Environmental Health
Vilnius University
Technical University of Munich
University of Würzburg

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We characterize nonempty open subsets of the complex plane where the sum [Equation not available: see fulltext.] of Hurwitz zeta functions has no zeros in s for all ≤ α ≤ 1. This problem is motivated by the construction of fundamental cardinal splines of complex order s.

Original language	English
Pages (from-to)	61-77
Number of pages	17
Journal	LMS Journal of Computation and Mathematics
Volume	16
DOIs	https://doi.org/10.1112/S146115701300003X
State	Published - Jun 2013
Externally published	Yes

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title = "Complex B-splines and Hurwitz zeta functions",

abstract = "We characterize nonempty open subsets of the complex plane where the sum [Equation not available: see fulltext.] of Hurwitz zeta functions has no zeros in s for all ≤ α ≤ 1. This problem is motivated by the construction of fundamental cardinal splines of complex order s.",

author = "B. Forster and R. Garunk{\v s}tis and P. Massopust and J. Steuding",

year = "2013",

month = jun,

doi = "10.1112/S146115701300003X",

language = "English",

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T1 - Complex B-splines and Hurwitz zeta functions

AU - Forster, B.

AU - Garunkštis, R.

AU - Massopust, P.

AU - Steuding, J.

PY - 2013/6

Y1 - 2013/6

N2 - We characterize nonempty open subsets of the complex plane where the sum [Equation not available: see fulltext.] of Hurwitz zeta functions has no zeros in s for all ≤ α ≤ 1. This problem is motivated by the construction of fundamental cardinal splines of complex order s.

AB - We characterize nonempty open subsets of the complex plane where the sum [Equation not available: see fulltext.] of Hurwitz zeta functions has no zeros in s for all ≤ α ≤ 1. This problem is motivated by the construction of fundamental cardinal splines of complex order s.

UR - https://www.scopus.com/pages/publications/84880234805

U2 - 10.1112/S146115701300003X

DO - 10.1112/S146115701300003X

M3 - Article

AN - SCOPUS:84880234805

SN - 1461-1570

VL - 16

SP - 61

EP - 77

JO - LMS Journal of Computation and Mathematics

JF - LMS Journal of Computation and Mathematics

ER -

Complex B-splines and Hurwitz zeta functions

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