Additive functions on the Gaussian integers

Authors: Van Rossum-Wijsmuller, Marijke

Source: Publicationes Mathematicae Debrecen. 38:255-262

Subject Terms: Gaussian integers, Arithmetic functions, related numbers, inversion formulas, completely additive functions, integer-valued functions, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/22001

Integer-valued functions, Hurwitz functions, and related topics: A survey

Authors: Waldschmidt, Michel

Contributors: Waldschmidt, Michel

Source: Number Theory ISBN: 9783110761115

Subject Terms: 30D15 11J81 13F20, Mathematics - Number Theory, Laplace transform, Mathematics - Complex Variables, [MATH] Mathematics [math], Abel interpolation, 01 natural sciences, interpolation, FOS: Mathematics, Hurwitz functions, Number Theory (math.NT), transcendental number theory, integer-valued functions, 0101 mathematics, Complex Variables (math.CV), utterly integer-valued functions

File Description: application/pdf

Access URL: http://arxiv.org/pdf/2002.01223
http://arxiv.org/abs/2002.01223
https://hal.science/hal-04025063v1
https://hal.science/hal-04025063v1/document
https://doi.org/10.1515/9783110761115-005

Invariant Decomposition of Functions with Respect to Commuting Invertible Transformations

Authors: Farkas, Bálint, Harangi, Viktor, Keleti, Tamás, Révész, Szilárd György

Source: Proceedings of the American Mathematical Society, 2008 Apr 01. 136(4), 1325-1336.

Access URL: https://www.jstor.org/stable/20535299

A new function space and applications

Authors: Bourgain, Jean, Brezis, Haïm, Mironescu, Petru

Contributors: Institute for Advanced Study Princeton (IAS), Department of Mathematics - Rutgers School of Arts and Sciences, Rutgers, The State University of New Jersey New Brunswick (RU), Rutgers University System (Rutgers)-Rutgers University System (Rutgers), Department of Mathematics (TECHNION), Technion - Israel Institute of Technology Haifa, Équations aux dérivées partielles, analyse (EDPA), Institut Camille Jordan (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), ANR-10-LABX-0070,MILYON,Community of mathematics and fundamental computer science in Lyon(2010), ANR-12-BS01-0013,HAB,Aux frontières de l'analyse Harmonique(2012)

Source: Journal of the European Mathematical Society. 17:2083-2101

Subject Terms: MSC 46E35, Sobolev spaces, BV, integer-valued functions, VMO, constant function, 0101 mathematics, isoperimetric inequality, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], 01 natural sciences, BMO, 3. Good health

Access URL: https://hal.archives-ouvertes.fr/hal-00992422/file/b_space_20140511.pdf
https://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=17&iss=9&rank=1
https://hal.archives-ouvertes.fr/hal-00992422
https://www.researchwithrutgers.com/en/publications/a-new-function-space-and-applications
https://hal.archives-ouvertes.fr/hal-00992422/document
https://www.ems-ph.org/journals/show_pdf.php?issn=1435-9855&vol=17&iss=9&rank=1

Periodic decomposition of measurable integer valued functions

Authors: Tamás Keleti

Source: Journal of Mathematical Analysis and Applications. 337:1394-1403

Subject Terms: Periodic functions, Integer valued functions, Almost everywhere integer valued functions, Decomposition property, Applied Mathematics, Measurable functions, Real valued functions, 0101 mathematics, Difference operator, 01 natural sciences, Periodic decomposition, Analysis

Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X07004374
https://core.ac.uk/display/82400176
https://ui.adsabs.harvard.edu/abs/2008JMAA..337.1394K/abstract
http://www.sciencedirect.com/science/article/pii/S0022247X07004374

On theorems of Gelfond and Selberg concerning integral-valued entire functions

Authors: Bundschuh, Peter, Zudilin, W.

Contributors: Faculty of Science & Information Technology, School of Mathematical and Physical Sciences

Source: Journal of Approximation Theory. 130:164-178

Subject Terms: Mathematics(all), Numerical Analysis, polynomial interpolation, Applied Mathematics, entire function, Transcendence (general theory), Special classes of entire functions of one complex variable and growth estimates, Group-structure arithmetic method, Selberg integral, 01 natural sciences, Polynomial interpolation, Entire function, Integer-valued function, A.O. Gelfond, group structure arithmetic method, A. Selberg, Rhin-Viola group-structure arithmetic method, Entire functions, integer-valued functions, 0101 mathematics, G. Polya, integer valued function, Analysis

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Orthogonal factorizations of graphs

Authors: Gang Yu, Guojun Li, Chuanping Chen

Source: Discrete Mathematics. 245:173-194

Subject Terms: Spanning subgraph, integer-valued function, orthogonal, Orthogonal factorization, 0102 computer and information sciences, Integer-valued functions, (g,f)-factor, partition, 01 natural sciences, Theoretical Computer Science, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), factorization, Discrete Mathematics and Combinatorics, 0101 mathematics, \((g,f)\)-factor

File Description: application/xml

Concerning maximal ℓ -ideals of rings of continuous integer-valued functions

Authors: Dube, Themba

Source: Algebra universalis. December 2014 72(4):359-370

Auxiliary functions in transcendental number theory

Authors: Waldschmidt, Michel

Source: The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. December 2009 20(3):341-373

Auxiliary functions in transcendence proofs

Authors: Waldschmidt, Michel

Contributors: Institut de Mathématiques de Jussieu (IMJ), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)

Source: https://hal.science/hal-00405120 ; 2009.

Subject Terms: Transcendental Number Theory, Auxiliary functions, exponential function, Padé approximation, Lagrange interpolation, integer valued functions, interpolation determinants, six exponentials theorem, modular functions, Liouville, Hermite, Weierstrass, Thue, Siegel, Gel'fond, Schneider, Mahler, Baker, 11J81 30B70 30D20 32A15 33C60 41A05, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]

Availability: https://hal.science/hal-00405120
https://hal.science/hal-00405120v1/document
https://hal.science/hal-00405120v1/file/AuxiliaryFnsHAL072009.pdf

Cjelobrojne funkcije i primjene ; Integer - valued Functions and Applications

Authors: Piškorjanac, Marina

Contributors: Soldo, Ivan

Subject Terms: cjelobrojne funkcije, karakteristična funkcija, stepenaste funkcije, funkcije pod i strop, aritmetičke funkcije, cjelobrojni polinomi, integer-valued functions, characteristic function, step functions, floor and ceiling functions, arithmetic functions, integer-valued polynomials, PRIRODNE ZNANOSTI. Matematika. Algebra, NATURAL SCIENCES. Mathematics. Algebra

File Description: application/pdf

Relation: https://repozitorij.unios.hr/islandora/object/mathos:301; https://urn.nsk.hr/urn:nbn:hr:126:217656; https://repozitorij.unios.hr/islandora/object/mathos:301/datastream/PDF

Availability: https://repozitorij.unios.hr/islandora/object/mathos:301
https://urn.nsk.hr/urn:nbn:hr:126:217656
https://repozitorij.unios.hr/islandora/object/mathos:301/datastream/PDF

On a class of integer-valued functions

Authors: Ulrich Rausch

Source: Archiv der Mathematik. 48:63-67

Subject Terms: Arithmetic functions, related numbers, inversion formulas, divisibility, integer-valued functions, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/BF01196356

Eine Bemerkung über fast-ganzwertige Funktionen

Authors: Schwarz, Wolfgang

Source: Monatshefte für Mathematik. 67:129-136

Subject Terms: 510.mathematics, Entire functions of one complex variable (general theory), almost integer-valued functions, Article

File Description: application/xml; image/jpeg; application/pdf

Access URL: https://link.springer.com/article/10.1007/BF01298943
https://eudml-prod.vls.icm.edu.pl/doc/177208

On pseudo‐polynomials: On pseudo-polynomials

Authors: R. R. Hall

Source: Mathematika. 18:71-77

Subject Terms: Integral domains, Special sequences and polynomials, Arithmetic functions, related numbers, inversion formulas, Arithmetic rings and other special commutative rings, 0101 mathematics, 01 natural sciences, universal integer-valued functions, Polynomials in number theory

File Description: application/xml

Access URL: https://zbmath.org/3358553
https://doi.org/10.1112/s002557930000838x
https://www.cambridge.org/core/journals/mathematika/article/on-pseudopolynomials/4902915DDA7921F721810C97344BDC26
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S002557930000838X
http://journals.cambridge.org/abstract_S002557930000838X

Loose Bernoullicity is preserved under exponentiation by integrable functions

Authors: Daniel J. Rudolph, Maurice Rahe

Source: Ergodic Theory and Dynamical Systems. 7:263-265

Subject Terms: loose Bernoullicity, integrable integer-valued functions, loosely Bernoulli transformation, 0101 mathematics, Measure-preserving transformations, 01 natural sciences

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F26C938BD8C36AC63E5514A685A1B901/S0143385700003990a.pdf/div-class-title-loose-bernoullicity-is-preserved-under-exponentiation-by-integrable-functions-div.pdf
https://zbmath.org/3971111
https://doi.org/10.1017/s0143385700003990
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/loose-bernoullicity-is-preserved-under-exponentiation-by-integrable-functions/F26C938BD8C36AC63E5514A685A1B901
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F26C938BD8C36AC63E5514A685A1B901/S0143385700003990a.pdf/div-class-title-loose-bernoullicity-is-preserved-under-exponentiation-by-integrable-functions-div.pdf

\((g,f)\)-factorizations 2-orthogonal to a path in a graph

Authors: Wang, Changping

Subject Terms: factor, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), factorization, path, integer-valued functions

File Description: application/xml

Access URL: https://zbmath.org/1375381

On a kind of uniform distribution for systems of multiplicative functions

Authors: Narkiewicz, W.

Subject Terms: Other results on the distribution of values or the characterization of arithmetic functions, Arithmetic functions in probabilistic number theory, systems of integer- valued functions, distribution of values, Distribution of integers in special residue classes, systems of polynomial-like multiplicative functions, uniformly distributed in reduced residue classes, weakly uniformly distributed

File Description: application/xml

Access URL: https://zbmath.org/3781273

Le théorème des idempotents dans B(G). (The theorem of idempotents in B(G))

Authors: Host, B.

Subject Terms: Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, integer valued functions, idempotents, locally compact group, homomorphisms, \(L^p\)-spaces and other function spaces on groups, semigroups, etc, Fourier-Stieltjes algebra, Homomorphisms and multipliers of function spaces on groups, semigroups, etc

File Description: application/xml

Access URL: https://zbmath.org/3979739

Some new results on \((g,f)\)-factorizations of graphs

Authors: Guiying, Yan

Subject Terms: \((g, f)\)-factorizations, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), \((f, g)\)-factorable, integer-valued functions, \((g, f)\)-graph, factorizations, \((g, f)\)-factor

File Description: application/xml

Access URL: https://zbmath.org/1420729
https://zbmath.org/1425019
https://zbmath.org/798653

Über \(\lambda\)-Ringstrukturen auf dem Burnside-Ring

Authors: tom Dieck, Tammo

Subject Terms: Ordinary representations and characters, integer valued functions, Finite nilpotent groups, \(p\)-groups, Burnside ring, Finite transformation groups, \(K\)-theory operations and generalized cohomology operations in algebraic topology, special \(\lambda \) -ring, p-group, \(\psi \) -structure, conjugacy classes

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Access URL: https://zbmath.org/3884361