THE EULER BINARY PARTITION FUNCTION AND SUBDIVISION SCHEMES

Συγγραφείς: PROTASOV, VLADIMIR YU.

Πηγή: Mathematics of Computation, 2017 May 01. 86(305), 1499-1524.

Σύνδεσμος πρόσβασης: https://www.jstor.org/stable/90002135

Arithmetic properties of coefficients of power series expansion of $$\prod _{n=0}^{\infty }\left( 1-x^{2^{n}}\right) ^{t}$$ ∏ n = 0 ∞ 1 - x 2 n t (with an appendix by Andrzej Schinzel)

Συγγραφείς: Gawron, Maciej, Miska, Piotr, Ulas, Maciej

Συνεισφορές: Schinzel, Andrzej

Πηγή: Monatshefte für Mathematik. 185:307-360

Θεματικοί όροι: Mathematics(all), Mathematics - Number Theory, binary partition function, 01 natural sciences, identities, 3. Good health, Prouhet-Thue-Morse sequence, FOS: Mathematics, convolution, Mathematics - Combinatorics, 11P81, 11P83, 11B50, Number Theory (math.NT), Combinatorics (math.CO), 0101 mathematics

Σύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1007%2Fs00605-017-1041-2.pdf
http://arxiv.org/abs/1703.01955
https://paperity.org/p/79483788/arithmetic-properties-of-coefficients-of-power-series-expansion-of-prod-n-0-infty-left-1
https://link.springer.com/content/pdf/10.1007%2Fs00605-017-1041-2.pdf
https://link.springer.com/article/10.1007/s00605-017-1041-2
https://link.springer.com/article/10.1007/s00605-017-1041-2/fulltext.html
https://ruj.uj.edu.pl/xmlui/handle/item/50145

The Euler binary partition function and subdivision schemes

Συγγραφείς: PROTASOV, Vladimir

Πηγή: Mathematics of Computation. 86:1499-1524

Θεματικοί όροι: Asymptotics, Binary expansion, Binary partition function, Cyclotomic polynomial, Positive matrix, Refinement equation, Subdivision scheme, Algebra and Number Theory, Computational Mathematics, Applied Mathematics, 0101 mathematics, 01 natural sciences

Σύνδεσμος πρόσβασης: https://hdl.handle.net/11697/111814
https://doi.org/10.1090/mcom/3128
http://www.ams.org/journals/mcom/2017-86-305/S0025-5718-2016-03128-2/S0025-5718-2016-03128-2.pdf

On the Asymptotics of the Binary Partition Function: On the asymptotics of the binary partition function

Συγγραφείς: Protasov, Vladimir

Πηγή: Mathematical Notes. 76:144-149

Θεματικοί όροι: Combinatorial aspects of partitions of integers, asymptotics, binary partition function, binary expansion, Mathematics (all), Analytic theory of partitions, Rate of growth of arithmetic functions, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2121453
https://doi.org/10.1023/b:matn.0000036752.47140.98
https://link.springer.com/article/10.1023/B:MATN.0000036752.47140.98
https://link.springer.com/content/pdf/10.1023/B:MATN.0000036752.47140.98.pdf

Annals of Combinatorics On m-Ary Overpartitions

Συγγραφείς: Øystein J. Rødseth, James A. Sellers

Συνεισφορές: The Pennsylvania State University CiteSeerX Archives

Πηγή: http://www.combinatorics.net/new/Annals/Abstract/pdf/9_3_345.pdf.

Θεματικοί όροι: overpartition, m-ary overpartition, generating function, partition References 1. R.F. Churchhouse, Congruence properties of the binary partition function, Proc. Cambridge

Περιγραφή αρχείου: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.571.7449; http://www.combinatorics.net/new/Annals/Abstract/pdf/9_3_345.pdf

Διαθεσιμότητα: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.571.7449
http://www.combinatorics.net/new/Annals/Abstract/pdf/9_3_345.pdf

Congruence properties of the binary partition function

Συγγραφείς: R. F. Churchhouse

Πηγή: Mathematical Proceedings of the Cambridge Philosophical Society. 66:371-376

Θεματικοί όροι: Partitions, congruences and congruential restrictions, binary partition function, congruences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3289585
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/congruence-properties-of-the-binary-partition-function/EA6F709626F45238ACBEDEDF0E115ED3
https://ui.adsabs.harvard.edu/abs/1969PCPS...66..371C/abstract