Výsledky vyhledávání - Number theory Additive number theory; partitions*

On a problem of Evelyn--Linfoot and Page in additive number theory: On a problem of Evelyn-Linfoot and Page in additive number theory

Autoři: Pomerance, Carl Suryanarayana, D.

Zdroj: Publicationes Mathematicae Debrecen. 26:237-244

Témata: k-free integers, Additive number theory, partitions, Distribution of primes, Primes in congruence classes, Asymptotic results on arithmetic functions, 0101 mathematics, 01 natural sciences, number of representations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3523687

The Proof of a Conjecture of Additive Number Theory: The proof of a conjecture of additive number theory

Autoři: Alexandru Gica

Zdroj: Journal of Number Theory. 94:80-89

Témata: Quadratic extensions, Algebra and Number Theory, Additive number theory, partitions, Representation problems, parity, Class numbers, class groups, discriminants, number of prime divisors counted with multiplicities, 0101 mathematics, 01 natural sciences, representation problems

Popis souboru: application/xml

Přístupová URL adresa: http://www.sciencedirect.com/science/article/pii/S0022314X01927313
https://core.ac.uk/display/82120620
https://www.sciencedirect.com/science/article/pii/S0022314X01927313

Partition Problems in Additive Number Theory: Partition problems in additive number theory

Autoři: Béla Bollobás Guoping Jin

Zdroj: Journal of Number Theory. 56:167-187

Témata: Algebra and Number Theory, Partitions of sets, Special sequences and polynomials, Other combinatorial number theory, partitions of sets, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/82497398
https://www.sciencedirect.com/science/article/pii/S0022314X96900098

A lattice point problem and additive number theory

Autoři: Moshe Dubiner Noga Alon

Zdroj: Combinatorica. 15:301-309

Témata: Additive number theory, partitions, Other combinatorial number theory, eigenvalues of Cayley graphs, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, lattice points

Popis souboru: application/xml

Přístupová URL adresa: http://www.math.tau.ac.il/~nogaa/PDFS/centroid.pdf
https://dblp.uni-trier.de/db/journals/combinatorica/combinatorica15.html#AlonD95
https://doi.org/10.1007/BF01299737
https://collaborate.princeton.edu/en/publications/a-lattice-point-problem-and-additive-number-theory
https://link.springer.com/content/pdf/10.1007/BF01299737.pdf

On representation problems in the additive number theory

Autoři: Norbert Hegyvári

Zdroj: Acta Mathematica Hungarica. 72:35-44

Témata: sums of distinct terms, Additive number theory, partitions, Other combinatorial number theory, Special sequences and polynomials, Density, gaps, topology, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/923732
https://doi.org/10.1007/bf00053695
https://link.springer.com/content/pdf/10.1007/BF00053695.pdf
https://link.springer.com/article/10.1007/BF00053695

Hardy's legacy to number theory

Autoři: Robert C. Vaughan

Zdroj: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 65:238-266

Témata: History of mathematics in the 20th century, sieve, Waring's problem, 01 natural sciences, Sieves, Biographies, obituaries, personalia, bibliographies, Applications of the Hardy-Littlewood method, zeta function, Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\), Riemann and other hypotheses, Analytic theory of partitions, Waring's problem and variants, additive number theory, multiplicative number theory, 0101 mathematics, Holomorphic modular forms of integral weight, Goldbach-type theorems, other additive questions involving primes

Popis souboru: application/xml

Přístupová URL adresa: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B4EC068F70EBCBA86E5F536F75444DCE/S1446788700034984a.pdf/div-class-title-hardy-s-legacy-to-number-theory-div.pdf
https://zbmath.org/1267871
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/hardys-legacy-to-number-theory/B4EC068F70EBCBA86E5F536F75444DCE
http://www.austms.org.au/Publ/Jamsa/V65P2/pdf/c40.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B4EC068F70EBCBA86E5F536F75444DCE/S1446788700034984a.pdf/div-class-title-hardy-s-legacy-to-number-theory-div.pdf
https://pennstate.pure.elsevier.com/en/publications/hardys-legacy-to-number-theory
http://www.journals.cambridge.org/abstract_S1446788700034984

Counterexamples to a conjecture of Dombi in additive number theory.

Autoři: Bell, J. P. Shallit, J.

Zdroj: Acta Mathematica Hungarica; Apr2023, Vol. 169 Issue 2, p562-565, 4p

Témata: LOGICAL prediction, ADDITIVE number theory

Integer partitions detect the primes.

Autoři: Craig, William van Ittersum, Jan-Willem Ono, Ken

Zdroj: Proceedings of the National Academy of Sciences of the United States of America; 9/24/2024, Vol. 121 Issue 39, p1-11, 11p

Témata: PRIME numbers, PARTITION functions, NUMBER theory, INTEGERS, EQUATIONS

A class of codes for asymmetric channels and a problem from the additive theory of numbers: A class of codes for symmetric channels and a problem from the additive theory of numbers

Autoři: R. Varshamov

Zdroj: IEEE Transactions on Information Theory. 19:92-95

Témata: Additive number theory, partitions, 0202 electrical engineering, electronic engineering, information engineering, Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.), 0102 computer and information sciences, 02 engineering and technology, Theory of error-correcting codes and error-detecting codes, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3412518
https://doi.org/10.1109/tit.1973.1054954
http://ieeexplore.ieee.org/xpl/abstractAuthors.jsp?reload=true&arnumber=1054954
https://dblp.uni-trier.de/db/journals/tit/tit19.html#Varshamov73
https://ieeexplore.ieee.org/document/1054954/

Exact order of subsets of asymptotic bases in additive number theory

Autoři: Xingde Jia

Zdroj: Journal of Number Theory. 28:205-218

Témata: asymptotic basis of order h, Additive bases, including sumsets, Algebra and Number Theory, Additive number theory, partitions, 0102 computer and information sciences, exact order, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/0022314X88900662

An asymptotic formula in additive number theory

Autoři: D. Ismoilov

Zdroj: Mathematical Notes of the Academy of Sciences of the USSR. 39:257-266

Témata: asymptotic formula, Additive number theory, partitions, Linear Diophantine equations, generalized divisor problems, Weil's estimate of Kloosterman sums, Asymptotic results on arithmetic functions, 0101 mathematics, sums of fractional parts, 01 natural sciences, Estimates on character sums

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007%2FBF01157994

Every integer can be written as a square plus a squarefree

Autoři: Jiménez Urroz, Jorge Universitat Politècnica de Catalunya. Departament de Matemàtiques Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres

Přispěvatelé: Jiménez Urroz, Jorge Universitat Politècnica de Catalunya. Departament de Matemàtiques Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres

Zdroj: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Témata: Partitions (Mathematics), Classificació AMS::11 Number theory::11N Multiplicative number theory, 0301 basic medicine, Teoria dels, 11 Number theory::11N Multiplicative number theory [Classificació AMS], Particions (Matemàtica), Mathematics - Number Theory, Arithmetic functions, Classificació AMS::11 Number theory::11P Additive number theory, partitions, Additive number theory, 11 Number theory::11P Additive number theory [Classificació AMS], Nombres, Teoria dels, 01 natural sciences, Nombres, 03 medical and health sciences, Divisor function, FOS: Mathematics, Number Theory (math.NT), Matemàtiques i estadística::Àlgebra::Teoria de nombres [Àrees temàtiques de la UPC], 0101 mathematics, Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres, Multiplicity (Mathematics)

Popis souboru: application/pdf

Přístupová URL adresa: http://arxiv.org/pdf/2010.15580
http://arxiv.org/abs/2010.15580

q-Parikh matrices and q-deformed binomial coefficients of words.

Autoři: Renard, Antoine Rigo, Michel Whiteland, Markus A.

Zdroj: Discrete Mathematics. May2025, Vol. 348 Issue 5, pN.PAG-N.PAG. 1p.

Témata: *ADDITIVE number theory, *HYPERGEOMETRIC series, *PARTITIONS (Mathematics), *POWER series, *POLYNOMIALS

Polytopes of partitions of numbers

Autoři: Vladimir A. Shlyk

Zdroj: European Journal of Combinatorics. 26:1139-1153

Témata: Combinatorial aspects of partitions of integers, 0211 other engineering and technologies, Elementary theory of partitions, 02 engineering and technology, Geometry of numbers, partition, 01 natural sciences, \(n\)-dimensional polytopes, Theoretical Computer Science, Additive number theory, partitions, Computational Theory and Mathematics, Linear programming, polytope, facet, partial algebra, incidence vector, Geometry and Topology, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2211364
https://doi.org/10.1016/j.ejc.2004.08.004
https://zbmath.org/992951
https://core.ac.uk/display/81147764
https://www.sciencedirect.com/science/article/pii/S019566980400160X
https://dblp.uni-trier.de/db/journals/ejc/ejc26.html#Shlyk05

A NOTE ON A CLASSICAL CONNECTION BETWEEN PARTITIONS AND DIVISORS.

Autoři: Merca, M.¹ mircea.merca@upb.ro

Zdroj: Annals: Series on Mathematics & its Applications. 2023, Vol. 15 Issue 1/2, p163-174. 12p.

Témata: *PARTITION functions, *NUMBER theory, *DIVISOR theory, *PARTITIONS (Mathematics)

An Application of Graph Theory to Additive Number Theory: An application of graph theory to additive number theory

Autoři: Paul Erdös Noga Alon

Zdroj: European Journal of Combinatorics. 6:201-203

Témata: hypergraphs, Additive number theory, partitions, Computational Theory and Mathematics, distinct two-element sums, Special sequences and polynomials, \(B_2\)-sequences, Geometry and Topology, 0102 computer and information sciences, 0101 mathematics, Hypergraphs, 01 natural sciences, Sidon sequence, Theoretical Computer Science

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3929105
https://doi.org/10.1016/s0195-6698(85)80027-5
https://www.sciencedirect.com/science/article/pii/S0195669885800275#!
http://www.renyi.hu/~p_erdos/1985-07.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0195669885800275
http://www.tau.ac.il/~nogaa/PDFS/Publications2/An%20application%20of%20graph%20theory%20to%20additive%20number%20theory.pdf
https://dblp.uni-trier.de/db/journals/ejc/ejc6.html#AlonE85
https://www.sciencedirect.com/science/article/pii/S0195669885800275

Partitions with Parts in a Finite Set

Autoři: Nathanson, Melvyn B.

Zdroj: Proceedings of the American Mathematical Society, 2000 May 01. 128(5), 1269-1273.

Přístupová URL adresa: https://www.jstor.org/stable/119631

Some covering and packing results in number theory

Autoři: G. Weinstein

Zdroj: Journal of Number Theory. 8:193-205

Témata: Algebra and Number Theory, Additive number theory, partitions, Special sequences and polynomials, Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.), 0101 mathematics, Combinatorial aspects of packing and covering, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3512242
https://doi.org/10.1016/0022-314x(76)90101-3
http://www.sciencedirect.com/science/article/pii/0022314X76901013
https://www.sciencedirect.com/science/article/pii/0022314X76901013

Towards $3n-4$ in groups of prime order

Autoři: Lev, Vsevolod Serra Albó, Oriol Universitat Politècnica de Catalunya. Departament de Matemàtiques a další

Přispěvatelé: Lev, Vsevolod Serra Albó, Oriol Universitat Politècnica de Catalunya. Departament de Matemàtiques a další

Zdroj: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Témata: Partitions (Mathematics), Particions (Matemàtica), Mathematics - Number Theory, Classificació AMS::11 Number theory::11P Additive number theory, partitions, Classificació AMS::11 Number theory::11B Sequences and sets, Sequences (Mathematics), 01 natural sciences, Successions (Matemàtica), FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres

Popis souboru: application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2302.08465
https://hdl.handle.net/2117/392259
https://doi.org/10.37236/11976

Some Results on Additive Number Theory V: Some results on additive number theory. IV

Autoři: TANAKA, Minoru

Zdroj: Proc. Japan Acad. 52, no. 4 (1976), 177-179
Tokyo J. of Math. 02, no. 1 (1979), 183-191
Tokyo J. of Math. 12, no. 2 (1989), 457-473
Proc. Japan Acad. 52, no. 7 (1976), 363-366
Tokyo J. of Math. 02, no. 1 (1979), 159-182

Témata: number of distinct prime factors, 10J20, Elementary theory of partitions, 0101 mathematics, Goldbach-type theorems, other additive questions involving primes, 01 natural sciences, 22E40, number of representations

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://projecteuclid.org/journals/tokyo-journal-of-mathematics/volume-2/issue-1/Some-Results-on-Additive-Number-Theory-IV/10.3836/tjm/1270473568.pdf
https://zbmath.org/3650669
https://doi.org/10.3836/tjm/1270473567
https://zbmath.org/3534577
https://doi.org/10.3792/pja/1195518346
http://ci.nii.ac.jp/naid/130003555359
https://projecteuclid.org/download/pdf_1/euclid.pja/1195518346
https://projecteuclid.org/euclid.pja/1195518346
https://projecteuclid.org/download/pdf_1/euclid.tjm/1270473567
https://projecteuclid.org/journals/tokyo-journal-of-mathematics/volume-2/issue-1/Some-Results-on-Additive-Number-Theory-IV/10.3836/tjm/1270473568.full
http://projecteuclid.org/euclid.pja/1195518346
http://projecteuclid.org/euclid.tjm/1270473568
http://projecteuclid.org/euclid.tjm/1270133191
http://projecteuclid.org/euclid.pja/1195518274
http://projecteuclid.org/euclid.tjm/1270473567