Chen, Yongqiang; Yao, Olivia X. M. New identities associated with ranks and cranks of partitions modulo 7. (English) Zbl 07908373 Result. Math. 79, No. 5, Paper No. 211, 22 p. (2024). MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{O. X. M. Yao}, Result. Math. 79, No. 5, Paper No. 211, 22 p. (2024; Zbl 07908373) Full Text: DOI
Zhang, Caihuan Generalizations of Guo and Schlosser’s two \(q\)-supercongruences. (English) Zbl 07908370 Result. Math. 79, No. 5, Paper No. 208, 9 p. (2024). MSC: 33E50 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{C. Zhang}, Result. Math. 79, No. 5, Paper No. 208, 9 p. (2024; Zbl 07908370) Full Text: DOI
Delbourgo, Daniel On the Iwasawa main conjecture for the double product. (English) Zbl 07905998 Trans. Am. Math. Soc. 377, No. 9, 6225-6250 (2024). MSC: 11F33 11F67 11G40 11R23 PDFBibTeX XMLCite \textit{D. Delbourgo}, Trans. Am. Math. Soc. 377, No. 9, 6225--6250 (2024; Zbl 07905998) Full Text: DOI
Aricheta, Victor Manuel R.; Donato, Judy Ann L. A minimal excludant over overpartitions. (English) Zbl 07905776 J. Integer Seq. 27, No. 7, Article 24.7.1, 20 p. (2024). MSC: 11P81 05A17 11P82 11P83 PDFBibTeX XMLCite \textit{V. M. R. Aricheta} and \textit{J. A. L. Donato}, J. Integer Seq. 27, No. 7, Article 24.7.1, 20 p. (2024; Zbl 07905776) Full Text: arXiv Link
Garaev, Moubariz Z.; Shparlinski, Igor E. On some congruences and exponential sums. (English) Zbl 07905706 Finite Fields Appl. 98, Article ID 102451, 17 p. (2024). MSC: 11D79 11L07 11L26 PDFBibTeX XMLCite \textit{M. Z. Garaev} and \textit{I. E. Shparlinski}, Finite Fields Appl. 98, Article ID 102451, 17 p. (2024; Zbl 07905706) Full Text: DOI arXiv
Mantovani, Sandra; Messora, Mariano; Vitale, Enrico M. Homotopy torsion theories. (English) Zbl 07905682 J. Pure Appl. Algebra 228, No. 12, Article ID 107742, 39 p. (2024). MSC: 18A30 18A32 18E40 18N99 PDFBibTeX XMLCite \textit{S. Mantovani} et al., J. Pure Appl. Algebra 228, No. 12, Article ID 107742, 39 p. (2024; Zbl 07905682) Full Text: DOI arXiv
Cornejo, Juan Manuel; San Martín, Hernn Javier; Sígal, Valeria On a class of subreducts of the variety of integral srl-monoids and related logics. (English) Zbl 07905645 Stud. Log. 112, No. 4, 861-891 (2024). MSC: 03-XX PDFBibTeX XMLCite \textit{J. M. Cornejo} et al., Stud. Log. 112, No. 4, 861--891 (2024; Zbl 07905645) Full Text: DOI
Borozenets, Nikolay E. Deviation of the rank and crank modulo 11. (English) Zbl 07904953 Ramanujan J. 64, No. 4, 1357-1420 (2024). MSC: 11P83 11F27 11F30 11B65 11F20 11F33 PDFBibTeX XMLCite \textit{N. E. Borozenets}, Ramanujan J. 64, No. 4, 1357--1420 (2024; Zbl 07904953) Full Text: DOI arXiv
Channabasavayya; Keerthana, Gedela Kavya; Dasappa, Ranganatha On a generalization of 5-dissections of some infinite \(q\)-products. (English) Zbl 07904952 Ramanujan J. 64, No. 4, 1335-1355 (2024). MSC: 11-XX 11F33 33D15 PDFBibTeX XMLCite \textit{Channabasavayya} et al., Ramanujan J. 64, No. 4, 1335--1355 (2024; Zbl 07904952) Full Text: DOI
Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe Toroidal families and averages of \(\mathrm{L}\)-functions. I. (English) Zbl 07903807 Acta Arith. 214, 109-142 (2024). Reviewer: Sami Omar (Sukhair) MSC: 11M06 11T23 11A07 PDFBibTeX XMLCite \textit{É. Fouvry} et al., Acta Arith. 214, 109--142 (2024; Zbl 07903807) Full Text: DOI arXiv
Wang, Jiankang; Xu, Zhefeng Double and triple character sums and gaps between the elements of subgroups of finite fields. (English) Zbl 07902826 Int. J. Number Theory 20, No. 7, 1725-1737 (2024). MSC: 11D79 11L40 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Z. Xu}, Int. J. Number Theory 20, No. 7, 1725--1737 (2024; Zbl 07902826) Full Text: DOI
Leinster, Tom The eventual image. (English) Zbl 07902417 Theory Appl. Categ. 42, Spec. Vol. Hofstra Festschrift, 180-221 (2024). MSC: 18A32 18A40 18F99 51F99 PDFBibTeX XMLCite \textit{T. Leinster}, Theory Appl. Categ. 42, 180--221 (2024; Zbl 07902417) Full Text: arXiv Link
Cockett, Robin; Cruttwell, G. S. H.; Gallagher, Jonathan; Pronk, Dorette Factorization systems for restriction categories. (English) Zbl 07902415 Theory Appl. Categ. 42, Spec. Vol. Hofstra Festschrift, 145-171 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18B10 18A32 PDFBibTeX XMLCite \textit{R. Cockett} et al., Theory Appl. Categ. 42, 145--171 (2024; Zbl 07902415) Full Text: Link
Böcherer, Siegfried; Kikuta, Toshiyuki On \(p\)-adic Siegel-Eisenstein Series from a point of view of the theory of \(\bmod\, p^m\) singular forms. (English) Zbl 07901744 Manuscr. Math. 175, No. 1-2, 203-226 (2024). MSC: 11F33 11F46 PDFBibTeX XMLCite \textit{S. Böcherer} and \textit{T. Kikuta}, Manuscr. Math. 175, No. 1--2, 203--226 (2024; Zbl 07901744) Full Text: DOI arXiv
Fornea, Michele; Jin, Zhaorong Hirzebruch-Zagier classes and rational elliptic curves over quintic fields. (English) Zbl 07901563 Math. Z. 308, No. 1, Paper No. 18, 78 p. (2024). MSC: 11F33 11F41 11F67 11F80 11G35 11G40 PDFBibTeX XMLCite \textit{M. Fornea} and \textit{Z. Jin}, Math. Z. 308, No. 1, Paper No. 18, 78 p. (2024; Zbl 07901563) Full Text: DOI arXiv
Garvan, Frank G.; Sellers, James A.; Smoot, Nicolas Allen Old meets new: connecting two infinite families of congruences modulo powers of 5 for generalized Frobenius partition functions. (English) Zbl 07900770 Adv. Math. 454, Article ID 109866, 28 p. (2024). MSC: 11P83 30F35 PDFBibTeX XMLCite \textit{F. G. Garvan} et al., Adv. Math. 454, Article ID 109866, 28 p. (2024; Zbl 07900770) Full Text: DOI arXiv
Kim, Aeran Congruences concerning Legendre polynomials modulo \(p^2\). (English) Zbl 07900690 Commun. Math. 32, No. 1, Paper No. 3, 12 p. (2024). MSC: 11A07 11B83 33C45 PDFBibTeX XMLCite \textit{A. Kim}, Commun. Math. 32, No. 1, Paper No. 3, 12 p. (2024; Zbl 07900690) Full Text: DOI
Lin, Yang; Yao, Olivia X. M. Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions. (English) Zbl 07900427 Int. J. Number Theory 20, No. 8, 2169-2185 (2024). MSC: 11P81 11P83 05A17 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{O. X. M. Yao}, Int. J. Number Theory 20, No. 8, 2169--2185 (2024; Zbl 07900427) Full Text: DOI
Böcherer, Siegfried; Kikuta, Toshiyuki Congruences for Siegel modular forms of nonquadratic nebentypus mod \(p\). (English) Zbl 07899211 Res. Number Theory 10, No. 3, Paper No. 72, 12 p. (2024). MSC: 11F33 11F46 PDFBibTeX XMLCite \textit{S. Böcherer} and \textit{T. Kikuta}, Res. Number Theory 10, No. 3, Paper No. 72, 12 p. (2024; Zbl 07899211) Full Text: DOI arXiv
Lovejoy, Jeremy; Osburn, Robert Rank deviations for overpartitions. (English) Zbl 07899206 Res. Number Theory 10, No. 3, Paper No. 67, 14 p. (2024). MSC: 11P83 05A17 11F37 11F11 11F27 PDFBibTeX XMLCite \textit{J. Lovejoy} and \textit{R. Osburn}, Res. Number Theory 10, No. 3, Paper No. 67, 14 p. (2024; Zbl 07899206) Full Text: DOI arXiv OA License
Hao, Robert Xiaojian; Shen, Erin Yiying The unimodality of the \(r_3\)-crank of 3-regular overpartitions. (English) Zbl 07898749 Bull. Korean Math. Soc. 61, No. 3, 621-635 (2024). MSC: 05A17 11P83 05A20 PDFBibTeX XMLCite \textit{R. X. Hao} and \textit{E. Y. Shen}, Bull. Korean Math. Soc. 61, No. 3, 621--635 (2024; Zbl 07898749) Full Text: DOI
Clarke, Bryce Lifting twisted coreflections against delta lenses. (English) Zbl 07898685 Theory Appl. Categ. 41, 838-877 (2024). MSC: 18A32 18A40 18C15 18D30 18N10 PDFBibTeX XMLCite \textit{B. Clarke}, Theory Appl. Categ. 41, 838--877 (2024; Zbl 07898685) Full Text: arXiv Link
Ballantine, Cristina; Welch, Amanda Generalizations of POD and PED partitions. (English) Zbl 07898289 Discrete Math. 347, No. 11, Article ID 114150, 16 p. (2024). MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{C. Ballantine} and \textit{A. Welch}, Discrete Math. 347, No. 11, Article ID 114150, 16 p. (2024; Zbl 07898289) Full Text: DOI arXiv
Bohn, León; Löding, Christof Constructing deterministic parity automata from positive and negative examples. (English) Zbl 07896324 TheoretiCS 3, Paper No. 17, 47 p. (2024). MSC: 68Qxx 68-XX 68Txx PDFBibTeX XMLCite \textit{L. Bohn} and \textit{C. Löding}, TheoretiCS 3, Paper No. 17, 47 p. (2024; Zbl 07896324) Full Text: DOI arXiv OA License
Rosen, Julian; Takeyama, Yoshihiro; Tasaka, Koji; Yamamoto, Shuji The ring of finite algebraic numbers and its application to the law of decomposition of primes. (English) Zbl 07895033 J. Number Theory 263, 335-365 (2024). MSC: 11R04 11R37 11R33 PDFBibTeX XMLCite \textit{J. Rosen} et al., J. Number Theory 263, 335--365 (2024; Zbl 07895033) Full Text: DOI arXiv
Li, Huixi; Wang, Biao; Wang, Chunlin; Yi, Shaoyun On covering systems of polynomial rings over finite fields. (English) Zbl 07892857 Proc. Am. Math. Soc. 152, No. 9, 3731-3742 (2024). MSC: 11B25 05B40 11A07 11T06 11T55 PDFBibTeX XMLCite \textit{H. Li} et al., Proc. Am. Math. Soc. 152, No. 9, 3731--3742 (2024; Zbl 07892857) Full Text: DOI arXiv
Zhang, Ningchuan Congruences of Eisenstein series of level \(\Gamma_1(N)\) via Dieudonné theory of formal groups. (English. French summary) Zbl 07892783 J. Théor. Nombres Bordx. 36, No. 1, 215-249 (2024). MSC: 11F33 14L05 PDFBibTeX XMLCite \textit{N. Zhang}, J. Théor. Nombres Bordx. 36, No. 1, 215--249 (2024; Zbl 07892783) Full Text: DOI arXiv
Coleman, T. D. H.; Mitchell, J. D.; Smith, F. L.; Tsalakou, M. The Todd-Coxeter algorithm for semigroups and monoids. (English) Zbl 07891461 Semigroup Forum 108, No. 3, 536-593 (2024). MSC: 20Mxx 20Fxx 20-XX PDFBibTeX XMLCite \textit{T. D. H. Coleman} et al., Semigroup Forum 108, No. 3, 536--593 (2024; Zbl 07891461) Full Text: DOI arXiv OA License
Chern, Shane; Fu, Shishuo; Tang, Dazhao Correction to: “Some inequalities for \(k\)-colored partition functions”. (English) Zbl 07887405 Ramanujan J. 64, No. 3, 1041-1044 (2024). MSC: 00Bxx 05A17 11P81 11P83 PDFBibTeX XMLCite \textit{S. Chern} et al., Ramanujan J. 64, No. 3, 1041--1044 (2024; Zbl 07887405) Full Text: DOI
Street, Ross The core groupoid can suffice. (English) Zbl 07883977 Theory Appl. Categ. 41, 686-706 (2024). MSC: 20C33 16D90 18M80 20L05 18A32 18B40 18D60 PDFBibTeX XMLCite \textit{R. Street}, Theory Appl. Categ. 41, 686--706 (2024; Zbl 07883977) Full Text: arXiv Link
Amdeberhan, Tewodros; Andrews, George E.; Ono, Ken; Singh, Ajit Hook lengths in self-conjugate partitions. (English) Zbl 07881502 Proc. Am. Math. Soc., Ser. B 11, 345-357 (2024). MSC: 05A15 05A17 11P81 11P83 PDFBibTeX XMLCite \textit{T. Amdeberhan} et al., Proc. Am. Math. Soc., Ser. B 11, 345--357 (2024; Zbl 07881502) Full Text: DOI arXiv
Elkhiri, Laid; Koparal, Sibel; Ömür, Neşe Congruences with \(q\)-harmonic numbers and \(q\)-binomial coefficients. (English) Zbl 07881008 Indian J. Pure Appl. Math. 55, No. 2, 639-648 (2024). MSC: 11A07 11B65 PDFBibTeX XMLCite \textit{L. Elkhiri} et al., Indian J. Pure Appl. Math. 55, No. 2, 639--648 (2024; Zbl 07881008) Full Text: DOI
Ramesh, V. P.; Makeshwari, M.; Sinha, Saswati Connecting primitive roots and permutations. (English) Zbl 07880997 Indian J. Pure Appl. Math. 55, No. 2, 513-516 (2024). MSC: 11A07 20B30 PDFBibTeX XMLCite \textit{V. P. Ramesh} et al., Indian J. Pure Appl. Math. 55, No. 2, 513--516 (2024; Zbl 07880997) Full Text: DOI
Enns, John; Lee, Heejong Mod \(p\) local-global compatibility for \(\mathrm{GSp}_4(\mathbb{Q}_p)\) in the ordinary case. (English) Zbl 07880771 Doc. Math. 29, No. 4, 863-919 (2024). MSC: 11F80 11F33 PDFBibTeX XMLCite \textit{J. Enns} and \textit{H. Lee}, Doc. Math. 29, No. 4, 863--919 (2024; Zbl 07880771) Full Text: DOI arXiv OA License
Le, Daniel; Le Hung, Bao V.; Morra, Stefano; Park, Chol; Qian, Zicheng Colength one deformation rings. (English) Zbl 07880412 Trans. Am. Math. Soc. 377, No. 8, 5749-5786 (2024). MSC: 11F33 11F85 11F80 PDFBibTeX XMLCite \textit{D. Le} et al., Trans. Am. Math. Soc. 377, No. 8, 5749--5786 (2024; Zbl 07880412) Full Text: DOI arXiv
Ray, Anwesh; Weston, Tom Hilbert’s tenth problem in anticyclotomic towers of number fields. (English) Zbl 07876055 Trans. Am. Math. Soc. 377, No. 5, 3577-3597 (2024). MSC: 11R23 11U05 PDFBibTeX XMLCite \textit{A. Ray} and \textit{T. Weston}, Trans. Am. Math. Soc. 377, No. 5, 3577--3597 (2024; Zbl 07876055) Full Text: DOI arXiv
Khanom, Poonyanoot; Wananiyakul, Saeree; Tongsomporn, Janyarak On cubic exponential Diophantine equations \(\pm 3^x \pm a^y = z^3\). (English) Zbl 07874450 Thai J. Math. 22, No. 1, 227-237 (2024). MSC: 11A07 11A41 11D25 11D61 11D72 PDFBibTeX XMLCite \textit{P. Khanom} et al., Thai J. Math. 22, No. 1, 227--237 (2024; Zbl 07874450) Full Text: Link
Biswas, Sabi; Saikia, Nipen Divisibility of sums of some restricted partition numbers by \(2, 3\) and \(4\). (English) Zbl 07873932 Bol. Soc. Mat. Mex., III. Ser. 30, No. 2, Paper No. 54, 19 p. (2024). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 11P83 PDFBibTeX XMLCite \textit{S. Biswas} and \textit{N. Saikia}, Bol. Soc. Mat. Mex., III. Ser. 30, No. 2, Paper No. 54, 19 p. (2024; Zbl 07873932) Full Text: DOI
Moree, Pieter; Perucca, Antonella; Sgobba, Pietro The distribution of the multiplicative index of algebraic numbers over residue classes. (English) Zbl 07873894 Abh. Math. Semin. Univ. Hamb. 94, No. 1, 1-17 (2024). MSC: 11R45 11A07 11R44 PDFBibTeX XMLCite \textit{P. Moree} et al., Abh. Math. Semin. Univ. Hamb. 94, No. 1, 1--17 (2024; Zbl 07873894) Full Text: DOI arXiv
Griffin, Michael; Ono, Ken A note on odd partition numbers. (English) Zbl 07873272 Arch. Math. 123, No. 1, 39-48 (2024). MSC: 11P81 11P83 05A17 PDFBibTeX XMLCite \textit{M. Griffin} and \textit{K. Ono}, Arch. Math. 123, No. 1, 39--48 (2024; Zbl 07873272) Full Text: DOI arXiv OA License
Hu, Qiuxia New \(q\)-analogues of Van Hamme’s (F.2) supercongruence and of some related supercongruences. (English) Zbl 07872483 Math. Slovaca 74, No. 3, 629-636 (2024). MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{Q. Hu}, Math. Slovaca 74, No. 3, 629--636 (2024; Zbl 07872483) Full Text: DOI
Pelaitay, Gustavo; Starobinsky, Maia A topological duality for tense modal pseudocomplemented De Morgan algebras. (English) Zbl 07872476 Math. Slovaca 74, No. 3, 543-562 (2024). MSC: 06D30 03B44 06D99 PDFBibTeX XMLCite \textit{G. Pelaitay} and \textit{M. Starobinsky}, Math. Slovaca 74, No. 3, 543--562 (2024; Zbl 07872476) Full Text: DOI
Coppersmith, Don; Mossinghoff, Michael J.; Scheinerman, Danny; Vanderkam, Jeffrey M. Ideal solutions in the Prouhet-Tarry-Escott problem. (English) Zbl 07872164 Math. Comput. 93, No. 349, 2473-2501 (2024). MSC: 11D72 11Y50 11D79 11P05 11R11 PDFBibTeX XMLCite \textit{D. Coppersmith} et al., Math. Comput. 93, No. 349, 2473--2501 (2024; Zbl 07872164) Full Text: DOI arXiv
Campercholi, Miguel; Vaggione, Diego Semisimplicity and congruence 3-permutability for quasivarieties with equationally definable principal congruences. (English) Zbl 07871663 Stud. Log. 112, No. 3, 723-733 (2024). MSC: 03-XX PDFBibTeX XMLCite \textit{M. Campercholi} and \textit{D. Vaggione}, Stud. Log. 112, No. 3, 723--733 (2024; Zbl 07871663) Full Text: DOI
Bartels, Richard F. Generalized Loewy length of Cohen-Macaulay local and graded rings. (English) Zbl 07868219 J. Algebra 653, 28-41 (2024). MSC: 13C10 11A07 13A02 13A30 13E05 13E10 13E15 13H05 13H10 13H15 13P05 PDFBibTeX XMLCite \textit{R. F. Bartels}, J. Algebra 653, 28--41 (2024; Zbl 07868219) Full Text: DOI arXiv
Tang, Dazhao Congruences modulo powers of 5 for the crank parity function. (English) Zbl 07868205 Quaest. Math. 47, No. 4, 715-734 (2024). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P83 05A17 05A15 PDFBibTeX XMLCite \textit{D. Tang}, Quaest. Math. 47, No. 4, 715--734 (2024; Zbl 07868205) Full Text: DOI
Ringeling, Berend On the modulo \(p\) zeros of modular forms congruent to theta series. (English) Zbl 07865950 J. Number Theory 262, 386-407 (2024). MSC: 11F11 11F27 11G20 11F33 PDFBibTeX XMLCite \textit{B. Ringeling}, J. Number Theory 262, 386--407 (2024; Zbl 07865950) Full Text: DOI arXiv
Aricheta, Victor Manuel; Dimabayao, Jerome; Shi, Hazel Joy Density results for the parity of \((4k, k)\)-singular overpartitions. (English) Zbl 07865948 J. Number Theory 262, 354-370 (2024). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 11P83 PDFBibTeX XMLCite \textit{V. M. Aricheta} et al., J. Number Theory 262, 354--370 (2024; Zbl 07865948) Full Text: DOI arXiv
Kling, Anthony Comparison of integral structures on the space of modular forms of full level \(N\). (English) Zbl 07865945 J. Number Theory 262, 222-300 (2024). MSC: 11F11 14G35 14H10 11F33 PDFBibTeX XMLCite \textit{A. Kling}, J. Number Theory 262, 222--300 (2024; Zbl 07865945) Full Text: DOI arXiv
Hazra, S. G.; Murty, M. Ram; Sivaraman, J. A note on the two variable Artin’s conjecture. (English) Zbl 07865943 J. Number Theory 262, 161-185 (2024). MSC: 11A07 11N36 11A25 11A41 11N13 PDFBibTeX XMLCite \textit{S. G. Hazra} et al., J. Number Theory 262, 161--185 (2024; Zbl 07865943) Full Text: DOI
Le, Daniel; Le Hung, Bao V.; Levin, Brandon; Morra, Stefano Serre weights for three-dimensional wildly ramified Galois representations. (English) Zbl 07865169 Algebra Number Theory 18, No. 7, 1221-1274 (2024). MSC: 11F33 11F80 22E50 PDFBibTeX XMLCite \textit{D. Le} et al., Algebra Number Theory 18, No. 7, 1221--1274 (2024; Zbl 07865169) Full Text: DOI arXiv
Doyon, Anthony; Lei, Antonio Lambda-invariants of Mazur-Tate elements attached to Ramanujan’s tau function and congruences with Eisenstein series. (English) Zbl 07864518 Res. Number Theory 10, No. 2, Paper No. 53, 18 p. (2024). MSC: 11R23 11S40 11F33 PDFBibTeX XMLCite \textit{A. Doyon} and \textit{A. Lei}, Res. Number Theory 10, No. 2, Paper No. 53, 18 p. (2024; Zbl 07864518) Full Text: DOI arXiv
Ganguli, Abhik; Kumar, Suneel On the local constancy of certain \(\bmod p\) Galois representations. (English) Zbl 07864517 Res. Number Theory 10, No. 2, Paper No. 52, 43 p. (2024). MSC: 11F80 11F70 11F33 PDFBibTeX XMLCite \textit{A. Ganguli} and \textit{S. Kumar}, Res. Number Theory 10, No. 2, Paper No. 52, 43 p. (2024; Zbl 07864517) Full Text: DOI arXiv
Chen, Shi-Chao Linear algebra and congruences for MacMahon’s \(k\)-rowed plane partitions. (English) Zbl 07864376 Int. J. Number Theory 20, No. 5, 1429-1443 (2024). MSC: 11P83 PDFBibTeX XMLCite \textit{S.-C. Chen}, Int. J. Number Theory 20, No. 5, 1429--1443 (2024; Zbl 07864376) Full Text: DOI
Chen, Y. H.; He, Thomas Y.; Tang, F.; Wei, J. J. Some separable integer partition classes. (English) Zbl 07864372 Int. J. Number Theory 20, No. 5, 1353-1371 (2024). MSC: 11P83 05A17 05A19 11P84 PDFBibTeX XMLCite \textit{Y. H. Chen} et al., Int. J. Number Theory 20, No. 5, 1353--1371 (2024; Zbl 07864372) Full Text: DOI arXiv
Pachev, Urusbi Mukhamedovich; Kodzokov, Azamat Khasanovich; Ezaova, Alena Georgievna; Tokbaeva, Al’bina Aniuarovna; Guchaeva, Zera Khamidbievna On one way to solve linear equations over a Euclidean ring. (Russian. English summary) Zbl 07864143 Vestn. KRAUNTS, Fiz.-Mat. Nauki 46, No. 1, 9-21 (2024). MSC: 34A99 PDFBibTeX XMLCite \textit{U. M. Pachev} et al., Vestn. KRAUNTS, Fiz.-Mat. Nauki 46, No. 1, 9--21 (2024; Zbl 07864143) Full Text: DOI MNR
Merca, Mircea 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) MSC: 11P81 11P82 05A19 05A20 PDFBibTeX XMLCite \textit{M. Merca}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 115, 20 p. (2024; Zbl 07862444) Full Text: DOI OA License
Gehrmann, Lennart; Pati, Maria Rosaria L-invariants for cohomological representations of PGL(2) over arbitrary number fields. (English) Zbl 07862238 Forum Math. Sigma 12, Paper No. e71, 27 p. (2024). MSC: 11F41 11F33 11F70 11F75 11F80 PDFBibTeX XMLCite \textit{L. Gehrmann} and \textit{M. R. Pati}, Forum Math. Sigma 12, Paper No. e71, 27 p. (2024; Zbl 07862238) Full Text: DOI arXiv OA License
Štěpán, Miloslav Factorization systems and double categories. (English) Zbl 07861997 Theory Appl. Categ. 41, 551-592 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18A32 18B10 18M05 18N10 18N15 PDFBibTeX XMLCite \textit{M. Štěpán}, Theory Appl. Categ. 41, 551--592 (2024; Zbl 07861997) Full Text: arXiv Link
Vatter, Vincent Counting parity palindrome compositions. (English) Zbl 07860901 Am. Math. Mon. 131, No. 5, 432 (2024). MSC: 05A15 05A05 05A17 05A19 11P83 PDFBibTeX XMLCite \textit{V. Vatter}, Am. Math. Mon. 131, No. 5, 432 (2024; Zbl 07860901) Full Text: DOI arXiv
Agrawal, Raj; Bhatia, Prarthana; Gupta, Kratik; Lamb, Powers; Lott, Andrew; Rice, Alex; Ward, Christine Rose Computations and observations on congruence covering systems. (English) Zbl 07860863 Integers 24A, Paper A1, 10 p. (2024). MSC: 11A07 11B25 PDFBibTeX XMLCite \textit{R. Agrawal} et al., Integers 24A, Paper A1, 10 p. (2024; Zbl 07860863) Full Text: arXiv Link
Davis, Simon A method for generating Mersenne primes and the extent of the sequence of the even perfect numbers. (English) Zbl 07859271 Adv. Stud. Contemp. Math., Kyungshang 34, No. 1, 49-69 (2024). MSC: 11N32 11N80 11P83 PDFBibTeX XMLCite \textit{S. Davis}, Adv. Stud. Contemp. Math., Kyungshang 34, No. 1, 49--69 (2024; Zbl 07859271) Full Text: DOI
Kim, Byungchan On the number of equivalence classes of bi-partitions arising from the color change. (English) Zbl 07858241 Commun. Korean Math. Soc. 39, No. 2, 345-352 (2024). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 11P83 PDFBibTeX XMLCite \textit{B. Kim}, Commun. Korean Math. Soc. 39, No. 2, 345--352 (2024; Zbl 07858241) Full Text: DOI
Meng, Z.; Yao, O. X. M. New infinite families of congruences for 5-core and 7-core partitions. (English) Zbl 07857909 Acta Math. Hung. 172, No. 2, 470-480 (2024). MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{Z. Meng} and \textit{O. X. M. Yao}, Acta Math. Hung. 172, No. 2, 470--480 (2024; Zbl 07857909) Full Text: DOI
Aishwarya, S.; Kedukodi, Babushri Srinivas; Kuncham, Syam Prasad Permutation identities and fractal structure of rings. (English) Zbl 07857704 Beitr. Algebra Geom. 65, No. 1, 157-185 (2024). Reviewer: Stefan Veldsman (Port Elizabeth) MSC: 16D25 16W99 18A32 05A05 PDFBibTeX XMLCite \textit{S. Aishwarya} et al., Beitr. Algebra Geom. 65, No. 1, 157--185 (2024; Zbl 07857704) Full Text: DOI OA License
Guo, Xuejun; Li, Xin; Tao, Zhengyu; Wei, Tao The eigenvectors-eigenvalues identity and Sun’s conjectures on determinants and permanents. (English) Zbl 07855968 Linear Multilinear Algebra 72, No. 7, 1071-1077 (2024). MSC: 15A15 15A18 11C20 05A19 11A07 33B10 PDFBibTeX XMLCite \textit{X. Guo} et al., Linear Multilinear Algebra 72, No. 7, 1071--1077 (2024; Zbl 07855968) Full Text: DOI arXiv
Williams, Nicholas J. A survey of congruences and quotients of partially ordered sets. (English) Zbl 07854809 EMS Surv. Math. Sci. 11, No. 1, 153-203 (2024). MSC: 06A06 06A07 06B10 PDFBibTeX XMLCite \textit{N. J. Williams}, EMS Surv. Math. Sci. 11, No. 1, 153--203 (2024; Zbl 07854809) Full Text: DOI arXiv OA License
Mao, Guo-Shuai; Wang, Lilong Proof of some conjectural congruences involving Apéry and Apéry-like numbers. (English) Zbl 07852917 Proc. Edinb. Math. Soc., II. Ser. 67, No. 2, 508-527 (2024). MSC: 11A07 05A10 11B65 11B68 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{L. Wang}, Proc. Edinb. Math. Soc., II. Ser. 67, No. 2, 508--527 (2024; Zbl 07852917) Full Text: DOI
Haldar, Anup Equidistribution of solutions of ternary quadratic congruences modulo prime powers. (English) Zbl 07852704 Res. Number Theory 10, No. 2, Paper No. 47, 19 p. (2024). MSC: 11L40 11T23 11K36 PDFBibTeX XMLCite \textit{A. Haldar}, Res. Number Theory 10, No. 2, Paper No. 47, 19 p. (2024; Zbl 07852704) Full Text: DOI arXiv
Delbourgo, Daniel On the Iwasawa \(\mu\)-invariant and \(\lambda\)-invariant associated to tensor products of newforms. (Sur les invariants \(\mu\) et \(\lambda\) d’Iwasawa associés aux produits de formes primitives.) (English. French summary) Zbl 07852662 Ann. Inst. Fourier 74, No. 2, 451-502 (2024). MSC: 11F33 11F80 11G40 11R23 PDFBibTeX XMLCite \textit{D. Delbourgo}, Ann. Inst. Fourier 74, No. 2, 451--502 (2024; Zbl 07852662) Full Text: DOI
Kowitz, Krzysztof; Miszczyk, Karolina “Riesel” and another numbers. (English) Zbl 07852491 Discrete Math. Algorithms Appl. 16, No. 1, Article ID 2330001, 20 p. (2024). MSC: 11A07 11A25 11A41 11B65 11D45 11D61 PDFBibTeX XMLCite \textit{K. Kowitz} and \textit{K. Miszczyk}, Discrete Math. Algorithms Appl. 16, No. 1, Article ID 2330001, 20 p. (2024; Zbl 07852491) Full Text: DOI
Mao, Renrong; Xia, Ernest X. W. A proof of a conjecture of Mao on Beck’s partition statistics modulo 8. (English) Zbl 07852430 J. Math. Anal. Appl. 531, No. 2, Part 2, Article ID 127837, 14 p. (2024). Reviewer: Dazhao Tang (Chongqing) MSC: 11P83 11P81 11P84 05A17 PDFBibTeX XMLCite \textit{R. Mao} and \textit{E. X. W. Xia}, J. Math. Anal. Appl. 531, No. 2, Part 2, Article ID 127837, 14 p. (2024; Zbl 07852430) Full Text: DOI arXiv
Sriram, S.; Christopher, A. David Congruences relating regular partition functions, a generalized tau function, and partition function weighted composition sums. (English) Zbl 07852319 Integers 24, Paper A39, 30 p. (2024). MSC: 11P83 PDFBibTeX XMLCite \textit{S. Sriram} and \textit{A. D. Christopher}, Integers 24, Paper A39, 30 p. (2024; Zbl 07852319) Full Text: Link
Sellers, James A. New infinite families of congruences modulo powers of 2 for 2-regular partitions with designated summands. (English) Zbl 07852305 Integers 24, Paper A16, 17 p. (2024). MSC: 11P83 PDFBibTeX XMLCite \textit{J. A. Sellers}, Integers 24, Paper A16, 17 p. (2024; Zbl 07852305) Full Text: arXiv Link
Sengupta, Sayak Locally nilpotent polynomials over \(\mathbb{Z}\). (English) Zbl 07852303 Integers 24, Paper A13, 16 p. (2024). MSC: 11A07 37P05 PDFBibTeX XMLCite \textit{S. Sengupta}, Integers 24, Paper A13, 16 p. (2024; Zbl 07852303) Full Text: arXiv Link
Ballantine, Cristina 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 Integers 24, Paper A15, 14 p. (2024). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 11P83 11P81 PDFBibTeX XMLCite \textit{C. Ballantine}, Integers 24, Paper A15, 14 p. (2024; Zbl 07852298) Full Text: arXiv Link
Bordellès, Olivier; Tóth, László Mean values of the product of an Integer and its modular inverse. (English) Zbl 07852294 Integers 24, Paper A33, 11 p. (2024). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L07 11A07 11T23 PDFBibTeX XMLCite \textit{O. Bordellès} and \textit{L. Tóth}, Integers 24, Paper A33, 11 p. (2024; Zbl 07852294) Full Text: arXiv Link
Vishwakarma, Chandan Kumar; Singh, Rajesh P. A congruence identity on ordered partitions using permutation polynomials. (English) Zbl 07852293 Integers 24, Paper A12, 11 p. (2024). MSC: 11T06 11P83 PDFBibTeX XMLCite \textit{C. K. Vishwakarma} and \textit{R. P. Singh}, Integers 24, Paper A12, 11 p. (2024; Zbl 07852293) Full Text: Link
Leung, Wing Hong On the weakly prime-additive numbers with length 4. (English) Zbl 07852288 Integers 24, Paper A9, 9 p. (2024). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11A07 11A41 PDFBibTeX XMLCite \textit{W. H. Leung}, Integers 24, Paper A9, 9 p. (2024; Zbl 07852288) Full Text: arXiv Link
Barman, Rupam; Singh, Ajit; Singh, Gurinder Arithmetic properties of certain \(t\)-regular partitions. (English) Zbl 1539.05008 Ann. Comb. 28, No. 2, 439-457 (2024). MSC: 05A17 11P83 11F11 PDFBibTeX XMLCite \textit{R. Barman} et al., Ann. Comb. 28, No. 2, 439--457 (2024; Zbl 1539.05008) Full Text: DOI arXiv
Mao, Guo-Shuai; Liu, Yan On two congruence conjectures of Z.-W. Sun involving Franel numbers. (English) Zbl 1539.11012 Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 3, 887-905 (2024). MSC: 11A07 05A10 05A19 33B15 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{Y. Liu}, Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 3, 887--905 (2024; Zbl 1539.11012) Full Text: DOI arXiv
Ahlgren, Scott; Andersen, Nickolas; Dicks, Robert The Shimura lift and congruences for modular forms with the eta multiplier. (English) Zbl 07849765 Adv. Math. 447, Article ID 109655, 59 p. (2024). Reviewer: Martin Raum (Gothenburg) MSC: 11F20 11F27 11F33 11F37 PDFBibTeX XMLCite \textit{S. Ahlgren} et al., Adv. Math. 447, Article ID 109655, 59 p. (2024; Zbl 07849765) Full Text: DOI arXiv
Fretwell, Dan; Roberts, Jenny Newform Eisenstein congruences of local origin. (English) Zbl 07846621 Ramanujan J. 64, No. 2, 505-527 (2024). MSC: 11F11 11F30 11F33 11F80 11F67 11R34 PDFBibTeX XMLCite \textit{D. Fretwell} and \textit{J. Roberts}, Ramanujan J. 64, No. 2, 505--527 (2024; Zbl 07846621) Full Text: DOI arXiv OA License
Mao, Guo-Shuai Connections between binomial coefficients and binary quadratic forms. (English) Zbl 1539.11011 Ramanujan J. 64, No. 1, 123-142 (2024). MSC: 11A07 11B65 11E16 PDFBibTeX XMLCite \textit{G.-S. Mao}, Ramanujan J. 64, No. 1, 123--142 (2024; Zbl 1539.11011) Full Text: DOI
Hong, Nankun; Mao, Renrong Andrews-Beck type congruences modulo powers of 5. (English) Zbl 07845627 Ramanujan J. 64, No. 1, 79-91 (2024). Reviewer: Shane Chern (University Park) MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{N. Hong} and \textit{R. Mao}, Ramanujan J. 64, No. 1, 79--91 (2024; Zbl 07845627) Full Text: DOI arXiv
Song, Hanfei; Wang, Chun Further generalizations of the (A.2) and (H.2) supercongruences of Van Hamme. (English) Zbl 1539.11013 Result. Math. 79, No. 4, Paper No. 147, 11 p. (2024). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 11A07 11B65 PDFBibTeX XMLCite \textit{H. Song} and \textit{C. Wang}, Result. Math. 79, No. 4, Paper No. 147, 11 p. (2024; Zbl 1539.11013) Full Text: DOI
Au, Yu Hin (Gary) Decompositions of unit hypercubes and the reversion of a generalized Möbius series. (English) Zbl 1536.05014 Electron. J. Comb. 31, No. 2, Research Paper P2.26, 31 p. (2024). MSC: 05A15 05A16 05A19 11A07 11A25 PDFBibTeX XMLCite \textit{Y. H. Au}, Electron. J. Comb. 31, No. 2, Research Paper P2.26, 31 p. (2024; Zbl 1536.05014) Full Text: DOI arXiv
Wei, Chuanan; Li, Chun Some \(q\)-supercongruences for double and triple basic hypergeometric series. (English) Zbl 1539.11014 Proc. Am. Math. Soc. 152, No. 6, 2283-2296 (2024). MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{C. Wei} and \textit{C. Li}, Proc. Am. Math. Soc. 152, No. 6, 2283--2296 (2024; Zbl 1539.11014) Full Text: DOI
Sellers, James A. Elementary proofs of congruences for POND and PEND partitions. (English) Zbl 07842628 J. Integer Seq. 27, No. 4, Article 24.4.7, 17 p. (2024). MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{J. A. Sellers}, J. Integer Seq. 27, No. 4, Article 24.4.7, 17 p. (2024; Zbl 07842628) Full Text: arXiv Link
Bandyopadhyay, Subhajit; Baruah, Nayandeep Deka Arithmetic identities for some analogs of the 5-core partition function. (English) Zbl 1536.05037 J. Integer Seq. 27, No. 4, Article 24.4.5, 16 p. (2024). MSC: 05A19 05A17 05A15 11P81 11P83 11B37 PDFBibTeX XMLCite \textit{S. Bandyopadhyay} and \textit{N. D. Baruah}, J. Integer Seq. 27, No. 4, Article 24.4.5, 16 p. (2024; Zbl 1536.05037) Full Text: Link
Bowman, Joshua P. Compositions with an odd number of parts, and other congruences. (English) Zbl 1536.05016 J. Integer Seq. 27, No. 3, Article 24.3.6, 39 p. (2024). MSC: 05A15 05A17 05A19 11A07 11B39 PDFBibTeX XMLCite \textit{J. P. Bowman}, J. Integer Seq. 27, No. 3, Article 24.3.6, 39 p. (2024; Zbl 1536.05016) Full Text: Link
Fang, Jin-Hui; Xue, Fang-Gang On weakly prime-additive numbers with length \(4k+3\). (English) Zbl 1539.11008 C. R., Math., Acad. Sci. Paris 362, 275-278 (2024). MSC: 11A07 11A41 PDFBibTeX XMLCite \textit{J.-H. Fang} and \textit{F.-G. Xue}, C. R., Math., Acad. Sci. Paris 362, 275--278 (2024; Zbl 1539.11008) Full Text: DOI
Yao, Olivia X. M. New congruences modulo 9 for the coefficients of Gordon-McIntosh’s mock theta function \(\xi (q)\). (English) Zbl 07841636 Quaest. Math. 47, No. 2, 239-248 (2024). MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{O. X. M. Yao}, Quaest. Math. 47, No. 2, 239--248 (2024; Zbl 07841636) Full Text: DOI
Barake, Daniel; Franc, Cameron Characters in \(p\)-adic Heisenberg and lattice vertex operator algebras. (English) Zbl 07841618 Commun. Algebra 52, No. 7, 2903-2916 (2024). MSC: 17B69 11F33 11D88 81R10 PDFBibTeX XMLCite \textit{D. Barake} and \textit{C. Franc}, Commun. Algebra 52, No. 7, 2903--2916 (2024; Zbl 07841618) Full Text: DOI arXiv
Browning, Tim D.; Shparlinski, Igor E. Square-free values of random polynomials. (English) Zbl 07841172 J. Number Theory 261, 220-240 (2024). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N32 11D79 11K38 11L15 11P21 PDFBibTeX XMLCite \textit{T. D. Browning} and \textit{I. E. Shparlinski}, J. Number Theory 261, 220--240 (2024; Zbl 07841172) Full Text: DOI arXiv
Damm-Johnsen, Håvard Modular algorithms for Gross-Stark units and Stark-Heegner points. (English) Zbl 07840416 Cremona, John (ed.) et al., LuCaNT: LMFDB, computation, and number theory. Conference, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island, USA, July 10–14, 2023. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 796, 261-284 (2024). MSC: 11F33 11R42 11Y40 PDFBibTeX XMLCite \textit{H. Damm-Johnsen}, Contemp. Math. 796, 261--284 (2024; Zbl 07840416) Full Text: DOI arXiv
Mao, Guo Shuai Proof of two supercongruences of truncated hypergeometric series \({}_4 F_3\). (English) Zbl 1539.11010 Acta Math. Sin., Engl. Ser. 40, No. 4, 1015-1028 (2024). MSC: 11A07 33C20 11B65 PDFBibTeX XMLCite \textit{G. S. Mao}, Acta Math. Sin., Engl. Ser. 40, No. 4, 1015--1028 (2024; Zbl 1539.11010) Full Text: DOI
Du, Julia Q. D.; Tang, Dazhao Congruences modulo powers of 5 for Ramanujan’s \(\phi\) function. (English) Zbl 07837271 J. Math. Anal. Appl. 537, No. 1, Article ID 128260, 19 p. (2024). Reviewer: Manjil Pratim Saikia (Ahmedabad) MSC: 11P83 05A17 11F11 33D15 PDFBibTeX XMLCite \textit{J. Q. D. Du} and \textit{D. Tang}, J. Math. Anal. Appl. 537, No. 1, Article ID 128260, 19 p. (2024; Zbl 07837271) Full Text: DOI
Combes, Lewis Bianchi period polynomials: Hecke action and congruences. (English) Zbl 07837207 Res. Number Theory 10, No. 2, Paper No. 40, 23 p. (2024). MSC: 11F67 11F75 11F33 11F11 PDFBibTeX XMLCite \textit{L. Combes}, Res. Number Theory 10, No. 2, Paper No. 40, 23 p. (2024; Zbl 07837207) Full Text: DOI arXiv OA License
Mishra, Bhawesh Almost no finite subset of integers contains a \(q^{\text{th}}\) power modulo almost every prime. (English) Zbl 07836770 Funct. Approximatio, Comment. Math. 70, No. 1, 129-141 (2024). Reviewer: Paolo Leonetti (Milano) MSC: 11B05 11A15 11A07 PDFBibTeX XMLCite \textit{B. Mishra}, Funct. Approximatio, Comment. Math. 70, No. 1, 129--141 (2024; Zbl 07836770) Full Text: DOI arXiv