Uniform distribution of polynomially-defined additive functions to varying moduli

Συγγραφείς: Agbolade Akande

Πηγή: International Journal of Number Theory. 21:959-973

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, uniform distribution, additive function, residue classes, Mathematics - Number Theory, 11A25 (Primary) 11N64, 11N36 (Secondary), Arithmetic functions, related numbers, inversion formulas, exponential sums

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2401.04199
https://zbmath.org/8014156
https://doi.org/10.1142/s1793042125500484

Research problems in number theory

Συγγραφείς: Kátai, I.

Πηγή: Publicationes Mathematicae Debrecen. 24:263-276

Θεματικοί όροι: Distribution functions associated with additive and positive multiplicative functions, Other results on the distribution of values or the characterization of arithmetic functions, characterization of additive functions, Arithmetic functions in probabilistic number theory, conjectures, local behaviour of number-theoretical functions, Research exposition (monographs, survey articles) pertaining to number theory, values of multiplicative functions on special sequences, distribution of additive functions, additive representation of natural numbers, 0101 mathematics, iteration of multiplicative functions, 01 natural sciences

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Characterization of pairs of additive functions with some regularity property

Συγγραφείς: Daróczy, Z., Kátai, I.

Πηγή: Publicationes Mathematicae Debrecen. 37:217-221

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, Arithmetic functions in probabilistic number theory, regularity, compact metrizable groups, limit, additive arithmetic functions, 0101 mathematics, 01 natural sciences

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Σύνδεσμος πρόσβασης: https://zbmath.org/9556

On the difference of integer-valued additive functions

Συγγραφείς: Ruzsa, I. Z., Tijdeman, R.

Πηγή: Publicationes Mathematicae Debrecen. 39:353-358

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, additive functions on topological groups, completely additive function, nullpotent additive functions, lower estimates of logarithms of algebraic numbers, 0101 mathematics, 01 natural sciences, characterization of the logarithm as additive function

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Σύνδεσμος πρόσβασης: https://zbmath.org/61532

On additive arithmetical functions with values in topological groups. II: On additive arithmetical functions with values in topological groups. I, II

Συγγραφείς: Daróczy, Z., Kátai, I.

Πηγή: Publicationes Mathematicae Debrecen. 34:65-68

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, Arithmetic functions in probabilistic number theory, completely additive function, metrically compact abelian topological group, translation invariant metric

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Σύνδεσμος πρόσβασης: https://zbmath.org/4055723

Characterization of additive functions with values in a compact Abelian group

Συγγραφείς: Bui Minh Phong

Πηγή: Publicationes Mathematicae Debrecen. 40:273-278

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, compact Abelian topological group, Asymptotic results on arithmetic functions, completely additive functions, 0101 mathematics, 01 natural sciences

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Σύνδεσμος πρόσβασης: https://zbmath.org/40454

Note on a conjecture of P. Erdős

Συγγραφείς: Benthem Jutting, van, L.S.

Πηγή: Publicationes Mathematicae Debrecen. 17:75-76

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, Asymptotic results on arithmetic functions, 0101 mathematics, 01 natural sciences

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Σύνδεσμος πρόσβασης: https://zbmath.org/3353388
https://research.tue.nl/en/publications/f5a36881-4117-4f5b-898d-338c51474840

The Distribution of Totients: The distribution of totients

Συγγραφείς: Kevin Ford

Πηγή: Developments in Mathematics ISBN: 9781441950581

Θεματικοί όροι: normal number of prime factors, sum of divisors function, prime \(k\)-tuples conjecture, Mathematics - Number Theory, multiplicities, Arithmetic functions, related numbers, inversion formulas, Sierpiński's conjecture, 0102 computer and information sciences, 01 natural sciences, Other results on the distribution of values or the characterization of arithmetic functions, Sierpinski's conjecture, Euler's function, totients, FOS: Mathematics, Asymptotic results on arithmetic functions, Number Theory (math.NT), 0101 mathematics, multiplicative arithmetic functions, Carmichael's conjecture

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/1104.3264
https://zbmath.org/1149588
https://doi.org/10.1090/s1079-6762-98-00043-2
https://link.springer.com/article/10.1023/A:1009761909132
https://experts.illinois.edu/en/publications/the-distribution-of-totients

A Mean-Value Theorem for Multiplicative Functions on the Set of Shifted Primes: A mean-value theorem for multiplicative functions on the set of shifted primes

Συγγραφείς: Nikolai M. Timofeev, Karl-Heinz Indlekofer

Πηγή: Developments in Mathematics ISBN: 9781441950581

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, mean-values on the set of additively shifted primes, Arithmetic functions in probabilistic number theory, Besicovich norm, mean-values of complex-valued multiplicative functions, Asymptotic results on arithmetic functions, application of the theorem of Daboussi-Elliott-Indlekofer

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Σύνδεσμος πρόσβασης: https://zbmath.org/1203260
https://doi.org/10.1023/a:1009766010041
https://link.springer.com/chapter/10.1007/978-1-4757-4507-8_9
https://rd.springer.com/chapter/10.1007/978-1-4757-4507-8_9

A characterization of some additive arithmetical functions. V

Συγγραφείς: Jean-Loup Mauclaire

Πηγή: Acta Mathematica Hungarica. 96:327-340

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, characterization of the logarithm, 4. Education, 0103 physical sciences, Arithmetic functions, related numbers, inversion formulas, logarithm, real-valued additive arithmetical functions, 0101 mathematics, 01 natural sciences, \(G\)-valued additive arithmetical function, additive arithmetical function

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.impan.pl/shop/publication/transaction/download/product/110806?download.pdf
https://zbmath.org/1446751
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-aav91i3p229bwm
http://matwbn.icm.edu.pl/ksiazki//aa/aa91/aa9134.pdf
https://link.springer.com/content/pdf/10.1023/A:1019708917098.pdf
https://link.springer.com/article/10.1023/A%3A1019708917098

ON SOME PAIRS OF MULTIPLICATIVE FUNCTIONS CORRELATED BY AN EQUATION: On some pairs of multiplicative functions correlated by an equation. II

Συγγραφείς: Bui Minh Phong, Imre Kátai

Πηγή: Aequationes Mathematicae. 59:287-297

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, Arithmetic functions in probabilistic number theory, multiplicative functions, Arithmetic functions, related numbers, inversion formulas, Mersenne primes, 0101 mathematics, 01 natural sciences, pairs of multiplicative functions

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Σύνδεσμος πρόσβασης: https://zbmath.org/1496060
https://doi.org/10.1007/s000100050128
https://link.springer.com/article/10.1007/s000100050128

The mean values of multiplicative functions. II: The mean values of multiplicative functions. I

Συγγραφείς: Gediminas Stepanauskas

Πηγή: Lithuanian Mathematical Journal. 37:162-170

Θεματικοί όροι: asymptotic uniform distribution modulo 1, distribution functions, sums of multiplicative functions, additive functions, 01 natural sciences, mean values of multiplicative functions, Other results on the distribution of values or the characterization of arithmetic functions, Distribution functions associated with additive and positive multiplicative functions, Arithmetic functions in probabilistic number theory, multiplicative functions, distribution, mean values, mean value, Rate of growth of arithmetic functions, Asymptotic results on arithmetic functions, 0101 mathematics

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Σύνδεσμος πρόσβασης: https://zbmath.org/1446753
https://zbmath.org/1261180
https://link.springer.com/article/10.1007/BF02465889

Average order in cyclic groups

Συγγραφείς: Florian Luca, Lutz G. Lucht, Arnold Knopfmacher, Igor E. Shparlinski, Joachim von zur Gathen

Πηγή: Journal de théorie des nombres de Bordeaux. 16:107-123

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, 0301 basic medicine, 03 medical and health sciences, Asymptotic results on counting functions for algebraic and topological structures, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://jtnb.centre-mersenne.org/item/10.5802/jtnb.436.pdf
http://www.numdam.org/item/10.5802/jtnb.436.pdf
https://jtnb.centre-mersenne.org/item/10.5802/jtnb.436.pdf
http://www.numdam.org/item/JTNB_2004__16_1_107_0/
http://www.numdam.org/item?id=JTNB_2004__16_1_107_0
http://jtnb.cedram.org/item?id=JTNB_2004__16_1_107_0
http://almira.math.u-bordeaux1.fr/jtnb/2004-1/GathenKnopfmacherLucaLuchtSchparlinsky.pdf

Compositions with the euler and carmichael functions: Compositions with the Euler and Carmichael functions

Συγγραφείς: William D. Banks, F. Saidak, nicĂ, P. StĂ, Florian Luca

Πηγή: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 75:215-244

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, Euler function, Carmichael function, positive integers, composition of Euler function and Carmichael function, 4. Education, normal order, 0101 mathematics, Distribution of integers with specified multiplicative constraints, 01 natural sciences

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Σύνδεσμος πρόσβασης: http://www.uncg.edu/%7Ef_saidak/hamburg.pdf
https://zbmath.org/2245677
https://doi.org/10.1007/bf02942044
https://faculty.missouri.edu/~bankswd/papers/2005_compose_phi_lambda.pdf
https://sakai.wfu.edu/access/content/group/26f503c9-bec7-4bb7-bdab-82ed8fda9d39/publications/saidak/hamburg.pdf
https://mospace.umsystem.edu/xmlui/handle/10355/10838
http://www.crm.umontreal.ca/anatomie06/pdf/luca.pdf
https://faculty.nps.edu/pstanica/research/philambdalambdaphi.pdf
https://link.springer.com/article/10.1007/BF02942044

Around Pelikán’s conjecture on very odd sequences: Around Pelikán's conjecture on very odd sequences

Συγγραφείς: Moree, P., Solé, P.

Πηγή: manuscripta mathematica. 117:219-238

Θεματικοί όροι: Mathematics - Number Theory, 94B15, 0102 computer and information sciences, 01 natural sciences, Other results on the distribution of values or the characterization of arithmetic functions, 11N37, 11N64, FOS: Mathematics, Mathematics - Combinatorics, Asymptotic results on arithmetic functions, Number Theory (math.NT), Combinatorics (math.CO), 0101 mathematics, Cyclic codes

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/math/0407084
http://arxiv.org/abs/math/0407084
https://www.narcis.nl/publication/RecordID/oai%3Adare.uva.nl%3Apublications%2F28c30084-416d-471e-82c4-76964d0009f7
https://www.arxiv-vanity.com/papers/math/0407084/
https://link.springer.com/article/10.1007/s00229-005-0554-5
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3124471
https://link.springer.com/content/pdf/10.1007%2Fs00229-005-0554-5.pdf
https://core.ac.uk/display/21925842
https://arxiv.org/abs/math/0407084
https://arxiv.org/pdf/math/0407084.pdf

On the distribution of the orders of 2(mod u) for odd u: On the distribution of the orders of \(2\pmod u\) for odd \(u\)

Συγγραφείς: Helmut Müller

Πηγή: Archiv der Mathematik. 84:412-420

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, Asymptotic results on arithmetic functions, Rate of growth of arithmetic functions, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2173765
https://doi.org/10.1007/s00013-004-1211-z
https://link.springer.com/article/10.1007/s00013-004-1211-z

Values of the Euler Function in Various Sequences: Values of the Euler function in various sequences

Συγγραφείς: B.A.N.K.S. W. D, FORD K, LUCA F, PAPPALARDI, FRANCESCO, SHPARLINSKI I. E.

Πηγή: Monatshefte für Mathematik. 146:1-19

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, Euler function, Carmichael function, primes, polynomials, 0101 mathematics, Distribution of integers with specified multiplicative constraints, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://mospace.umsystem.edu/xmlui/bitstream/10355/10673/1/ValuesEulerFunction.pdf
https://mospace.umsystem.edu/xmlui/handle/10355/10673
https://link.springer.com/article/10.1007/s00605-005-0302-7
https://core.ac.uk/display/53903198
https://faculty.missouri.edu/~bankswd/papers/2005_Euler_funct_various_seqs.pdf
https://experts.illinois.edu/en/publications/values-of-the-euler-function-in-various-sequences
https://link.springer.com/content/pdf/10.1007%2Fs00605-005-0302-7.pdf
http://www.springerlink.com/content/wg5013p74m9ru5l8/
https://doi.org/10.1007/s00605-005-0302-7
https://hdl.handle.net/11590/158234

On the Distribution in Residue Classes of Integers with a Fixed Sum of Digits: On the distribution in residue classes of integers with a fixed sum of digits

Συγγραφείς: Carl Pomerance, Christian Mauduit, András Sárközy

Πηγή: The Ramanujan Journal. 9:45-62

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, sum-of-digits function, 0102 computer and information sciences, 0101 mathematics, Radix representation, digital problems, 01 natural sciences, Niven numbers

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007/s11139-005-0824-6

On the asymptotic behavior of some counting functions, II: On the asymptotic behavior of some counting functions. II

Συγγραφείς: Radziejewski, Maciej, Schmid, Wolfgang A.

Πηγή: Colloquium Mathematicum. 102:197-216

Θεματικοί όροι: Extremal problems in graph theory, Finite abelian groups, edge disjoint cycles, 4. Education, Exact enumeration problems, generating functions, block monoid, 0102 computer and information sciences, factorizations of distinct lengths, Units and factorization, 01 natural sciences, factorizations, Other results on the distribution of values or the characterization of arithmetic functions, half-factorial, Other analytic theory, 0101 mathematics, zero-sum sequence

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.impan.pl/shop/publication/transaction/download/product/87349?download.pdf
https://www.impan.pl/shop/publication/transaction/download/product/87348?download.pdf
https://zbmath.org/2170030
https://doi.org/10.4064/cm102-2-3
https://eudml.org/doc/284286
http://www.uni-graz.at/%7Ewschmid/personal/schmid_6.pdf
http://journals.impan.pl/cgi-bin/doi?cm102-2-2
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-2-3
https://www.uni-graz.at/%7ewschmid/personal/schmid_7.pdf

Shifted B-numbers as a set of uniqueness for additive and multiplicative functions: Shifted \(B\)-numbers as a set of uniqueness for additive and multiplicative functions

Συγγραφείς: N. M. Timofeev, K.-H. Indlekofer

Πηγή: Acta Arithmetica. 116:295-313

Θεματικοί όροι: Other results on the distribution of values or the characterization of arithmetic functions, additive and multiplicative functions, lower sieve estimates, Applications of sieve methods, binary quadratic forms, 0101 mathematics, Sums of squares and representations by other particular quadratic forms, sets of uniqueness, 01 natural sciences, sums of two squares

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.impan.pl/shop/publication/transaction/download/product/82628?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-aa116-4-1
http://ui.adsabs.harvard.edu/abs/2005AcAri.116..295I/abstract
https://www.impan.pl/shop/publication/transaction/download/product/82628?download.pdf
https://eudml.org/doc/278207
https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all/116/4/82628/shifted-b-numbers-as-a-set-of-uniqueness-for-additive-and-multiplicative-functions