Found 10,074 Documents (Results 1–100)
\(k\)-free and \(k\)-full numbers with prime factors in an arithmetic progression. (English) Zbl 07930837
The Jensen-Pólya program. (English) Zbl 07930154
Number theory and number games. Seven selected topics. 3rd revised and extended edition. (Zahlentheorie und Zahlenspiele. Sieben ausgewählte Themenstellungen.) (German) Zbl 07929558
De Gruyter Studium. Berlin: De Gruyter/Oldenbourg (ISBN 978-3-11-134775-2/pbk; 978-3-11-134776-9/ebook). xiii, 360 p. (2024).
Some inequalities and equalities on Lin-Peng-Toh’s partition statistic for \(k\)-colored partitions. (English) Zbl 07926972
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 4, Paper No. 153, 26 p. (2024).
Mock theta functions and related combinatorics. (English) Zbl 07926448
Bucur, Alina (ed.) et al., Research directions in number theory. Women in numbers V. Proceedings of the WIN5 workshop. Banff, Alberta, Canada, November 15–20, 2020. Cham: Springer. Assoc. Women Math. Ser. 33, 133-169 (2024).
The covariety of numerical semigroups with fixed Frobenius number. (English) Zbl 07925635
Reviewer: Denis V. Solomatin (Omsk)
The largest size of an \((s, s + 1)\)-core partition with parts of the same parity. (English) Zbl 07924590
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 521-534 (2024).
\((k, \ell)\)-regular partitions. (English) Zbl 07924585
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 443-456 (2024).
MSC:
11P81
A combinatorial proof of a recurrence relation for the sum of divisors function. (English) Zbl 07924584
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 435-441 (2024).
Twin Nicomachean \(q\)-identities and conjectures for the associated discriminants, polynomials, and inequalities. (English) Zbl 07924583
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 409-433 (2024).
On weighted overpartitions related to some \(q\)-series in Ramanujan’s lost notebook. (English) Zbl 07924582
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 391-407 (2024).
An inequality between finite analogues of rank and crank moments. (English) Zbl 07924570
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 193-211 (2024).
Polynomial analogues of restricted multicolor \(b\)-ary partition functions. (English) Zbl 07924568
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 159-179 (2024).
Weighted partition rank and crank moments. I: Andrews-Beck type congruences. (English) Zbl 07924566
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 119-128 (2024).
A mock theta function identity related to the partition rank modulo 3 and 9. (English) Zbl 07924564
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 89-105 (2024).
General fine transformations. I. (English) Zbl 07924561
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 45-61 (2024).
The Ramanujan-Dyson identities and george Beck’s congruence conjectures. (English) Zbl 07924559
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 17-27 (2024).
On the number of partitions of \(n\) into exactly \(m\) parts whose even parts are distinct. (English) Zbl 07921993
Linearity of (generalized) \(*\)-Lie derivations and their structures on \(*\)-algebras. (English) Zbl 07919738
Partitions enumerated by self-similar sequences. (English) Zbl 07918573
Guàrdia, Jordi (ed.) et al., New frontiers in number theory and applications. Cham: Birkhäuser. Trends Math., 51-96 (2024).
Strict isometric and strict symmetric commuting \(d\)-tuples of Banach space operators. (English) Zbl 07918294
Modular invariants of a vector and a covector for some elementary abelian \(p\)-groups. (English) Zbl 07909532
MSC:
13A50
A minimal excludant over overpartitions. (English) Zbl 07905776
Reviewer: Mircea Merca (București)
Boltzmann distribution on “short” integer partitions with power parts: limit laws and sampling. (English) Zbl 07904793
Tensor products of Aluthge transforms and \(a\)-adjoints of \(m\)-isometric operators. (English) Zbl 07903765
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions. (English) Zbl 07900427
The Laguerre inequality and determinantal inequality for the broken \(k\)-diamond partition function. (English) Zbl 07887398
Weighted estimates of the fractional type Marcinkiewicz integral and its commutator on Morrey-Guliyev spaces. (English) Zbl 07885092
Algebraic closures in divisible rigid groups. (English. Russian original) Zbl 07883896
Sib. Math. J. 65, No. 4, 840-845 (2024); translation from Sib. Mat. Zh. 65, No. 4, 727-734 (2024).
The multilinear Littlewood-Paley square operators and their commutators on weighted Morrey spaces. (English) Zbl 07881018
An ultimately periodic chain in the integral Lie ring of partitions. (English) Zbl 07879478
Reviewer: Dazhao Tang (Chongqing)
Categoricity and multidimensional diagrams. (English) Zbl 07875314
Reviewer: Samson Leung (State College)
A note on factorization of vector valued functions involving the extraction of elementary factors. (English) Zbl 07874833
Divisibility of sums of some restricted partition numbers by \(2, 3\) and \(4\). (English) Zbl 07873932
Reviewer: Mircea Merca (București)
A note on odd partition numbers. (English) Zbl 07873272
A modular idealizer chain and unrefinability of partitions with repeated parts. (English) Zbl 07871052
Reviewer: Dazhao Tang (Chongqing)
Logical generation of groups. (English) Zbl 07870872
The symbol length for elementary type pro-\(p\) groups and Massey products. (English) Zbl 07868230
Reviewer: Ivan D. Chipchakov (Sofia)
A non-uniformly inner amenable group. (English) Zbl 1542.22010
Reviewer: Egle Bettio (Venezia)
Multi-partition analogue of \(q\)-binomial coefficients. (English) Zbl 07864371
Reviewer: David Wahiche (Tours)
On the Diophantine equation \(\sigma_{2} (\overline{X}_{n}) = \sigma_{n} (\overline{X}_{n})\). (English) Zbl 07864369
Correction to: “The space-time line element for static ellipsoidal objects”. (English) Zbl 1540.83004
From sums of divisors to partition congruences. (English) Zbl 07862444
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 115, 20 p. (2024).
Reviewer: Ljuben Mutafchiev (Sofia)
Sur les équations du 3-ème et Du 4-ème degré: de Galois et Lagrange au miracle de Morley. (French) Zbl 07861333
Reviewer: Bouchaïb Sodaïgui (Valenciennes)
On the minimality of a part of eigen- and associated vectors for a class of third-order quasi-elliptic operator pencils. (English) Zbl 07860949
A combinatorial proof of a partition perimeter inequality. (English) Zbl 07860862
Reviewer: Dazhao Tang (Chongqing)
On the number of equivalence classes of bi-partitions arising from the color change. (English) Zbl 07858241
Reviewer: Mircea Merca (București)
Proof of a conjecture of Ballantine and Merca on truncated sums of 6-regular partitions. (English) Zbl 1541.05014
A proof of a conjecture of Mao on Beck’s partition statistics modulo 8. (English) Zbl 07852430
Reviewer: Dazhao Tang (Chongqing)
Combinatorial proofs of Merca’s identities involving the sum of different parts congruent to \(r\) modulo \(m\) in all partitions of \(n\). (English) Zbl 07852298
Reviewer: Rózsa Horváth-Bokor (Budakalász)
Bressoud-Subbarao type weighted partition identities for a generalized divisor function. (English) Zbl 07851996
Reviewer: Rózsa Horváth-Bokor (Budakalász)
Partitions into powers of an algebraic number. (English) Zbl 07846623
Reviewer: M. P. Chaudhary (New Delhi)
Parts in \(k\)-indivisible partitions always display biases between residue classes. (English) Zbl 1536.05033
A generalization of Szep’s conjecture for almost simple groups. (English) Zbl 1537.20033
Reviewer: Enrico Jabara (Venezia)
Derivations with values into bimodules of \(\tau\)-measurable operators. (English) Zbl 07837910
Godefroy, Gilles (ed.) et al., Geometry of Banach spaces and related fields. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 106, 167-188 (2024).
On the determination of \(p\)-Frobenius and related numbers using the \(p\)-Apéry set. (English) Zbl 07836687
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