Lü, Xiaodong; Wang, Zhiwei On the largest prime factors of consecutive integers. (English) Zbl 07983618 Monatsh. Math. 206, No. 2, 403-418 (2025). MSC: 11N25 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Entin, Alexei; Landsberg, Sean The least common multiple of polynomial values over function fields. (English) Zbl 07981260 Acta Arith. 217, No. 2, 159-187 (2025). MSC: 11N32 11T06 11T55 12E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fan, Kai (Steve) Weighted Erdős-Kac theorems via computing moments. (English) Zbl 07981259 Acta Arith. 217, No. 2, 99-158 (2025). MSC: 11N60 11K65 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tangsupphathawat, Pinthira; Srichan, Teerapat The two-dimensional divisor function over Piatetski-Shapiro sequences. (English) Zbl 07979563 Gulf J. Math. 19, No. 1, 392-399 (2025). MSC: 11N37 11N64 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Fei Möbius disjointness for product flows of rigid dynamical systems and affine linear flows. (English) Zbl 07978201 Discrete Contin. Dyn. Syst. 45, No. 4, 969-1007 (2025). MSC: 37A44 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schlage-Puchta, Jan-Christoph Alternating state complexity of the set of primes and squarefree integers. (English) Zbl 07978160 Arch. Math. 124, No. 2, 151-156 (2025). MSC: 11A41 68Q45 11N36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsuda, Yusuke Small gaps between primes that satisfy the Goldbach equation. (English) Zbl 07976758 Monatsh. Math. 206, No. 1, 217-258 (2025). MSC: 11A41 11N05 11N36 11P32 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Victor Y. Prime Hasse principles via Diophantine second moments. (English) Zbl 07976529 J. Assoc. Math. Res. 3, No. 1, 1-26 (2025). MSC: 11Pxx 11Nxx 11Gxx × Cite Format Result Cite Review PDF Full Text: arXiv Link
Burgin, Alex A new elementary proof of Landau’s prime ideal theorem, and associated results. (English) Zbl 07976368 Res. Number Theory 11, No. 1, Paper No. 28, 21 p. (2025). MSC: 11N05 11N80 11N60 11P32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dimitrov, S. I. The Bombieri-Vinogradov theorem for primes of the form \(p = x^2 + y^2 + 1\). (English) Zbl 07974129 Mediterr. J. Math. 22, No. 1, Paper No. 9, 17 p. (2025). MSC: 11N25 11L20 11L40 11N05 11N36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández, José L.; Fernández, Pablo Counting coprime pairs in random squares. (English) Zbl 07972301 SIAM J. Discrete Math. 39, No. 1, 119-145 (2025). MSC: 11K65 11N36 11A51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huque, Inzamam Ul; Alnoghashi, Hafedh Characterizing multiplicative (generalized)-derivations on semiprime rings satisfying specific functional identities. (English) Zbl 07971741 Rend. Circ. Mat. Palermo (2) 74, No. 1, Paper No. 33, 9 p. (2025). MSC: 16N60 16W25 47B47 11N60 16R60 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Victor Y. Diagonal cubic forms and the large sieve. (English) Zbl 07968287 Mathematika 71, No. 1, Article ID e70008, 29 p. (2025). MSC: 11D45 11D25 11G40 11N35 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ford, Kevin; Gabdullin, Mikhail R. Long strings of consecutive composite values of polynomials. (English) Zbl 07968220 Trans. Am. Math. Soc. 378, No. 2, 1261-1282 (2025). MSC: 11N35 11N32 11B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Hao Ergodic recurrence and bounded gaps between primes. (English) Zbl 07968218 Trans. Am. Math. Soc. 378, No. 2, 1215-1234 (2025). MSC: 11N05 37A44 05D10 11L20 11N36 37A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Acharya, Ratnadeep; Pandey, Manish Kumar On effective multiplicity one for modular forms of half-integral weight. (English) Zbl 07967960 Arch. Math. 124, No. 1, 19-27 (2025). MSC: 11F12 11F30 11M06 11N37 × Cite Format Result Cite Review PDF Full Text: DOI
Hilberdink, Titus W. Correction to: “\(\Omega\)-results for Beurling’s zeta function and lower bounds for the generalised Dirichlet divisor problem”. (English) Zbl 07963892 J. Number Theory 269, 460-464 (2025). MSC: 11N80 × Cite Format Result Cite Review PDF Full Text: DOI
Balanzario, Eugenio P.; Cárdenas-Romero, Daniel E.; Chacón-Serna, Richar A smooth version of Landau’s explicit formula. (English) Zbl 07963376 Int. J. Number Theory 21, No. 1, 177-192 (2025). MSC: 11M06 11N05 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Li Almost prime triples and Chen’s theorem. (English) Zbl 07963374 Int. J. Number Theory 21, No. 1, 133-151 (2025). MSC: 11N25 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Kuperberg, Vivian Sums of singular series along arithmetic progressions and with smooth weights. (English) Zbl 07963371 Int. J. Number Theory 21, No. 1, 53-74 (2025). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N05 11N13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jing, Mengyao; Shen, Shimeng On the distribution of square-free primitive roots in Beatty sequences. (English) Zbl 07960918 Bull. Malays. Math. Sci. Soc. (2) 48, No. 1, Paper No. 10, 16 p. (2025). MSC: 11A07 11B83 11L40 11N25 × Cite Format Result Cite Review PDF Full Text: DOI
Broucke, Frederik; Debruyne, Gregory; Révész, Szilárd Gy. Some examples of well-behaved Beurling number systems. (English) Zbl 07959110 Trans. Am. Math. Soc. 378, No. 1, 477-501 (2025). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N80 11M26 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shallue, Andrew; Webster, Jonathan Advances in tabulating Carmichael numbers. (English) Zbl 07958646 Res. Number Theory 11, No. 1, Paper No. 8, 16 p. (2025). MSC: 11Y11 11A51 11Y05 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sorenson, Jonathan; Webster, Jonathan An algorithm and computation to verify Legendre’s conjecture up to \(7\cdot 10^{13}\). (English) Zbl 07958642 Res. Number Theory 11, No. 1, Paper No. 4, 9 p. (2025). MSC: 11Y11 11N05 11Y05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Seungki; Nguyen, Phong Q. On counterexamples to the Mertens conjecture. (English) Zbl 07958641 Res. Number Theory 11, No. 1, Paper No. 3, 17 p. (2025). MSC: 11N56 11Y35 × Cite Format Result Cite Review PDF Full Text: DOI
Lichtman, Jared Duker A modification of the linear sieve, and the count of twin primes. (English) Zbl 07957546 Algebra Number Theory 19, No. 1, 1-38 (2025). MSC: 11N35 11N36 11N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nastasescu, Maria; Robles, Nicolas; Stoica, Bogdan; Zaharescu, Alexandru The Riemann zeta function and exact exponential sum identities of divisor functions. (English) Zbl 07941007 J. Math. Anal. Appl. 542, No. 2, Article ID 128827, 26 p. (2025). Reviewer: Kamel Mazhouda (Monastir) MSC: 11M06 11M26 11N56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Das, Sourabhashis; Kuo, Wentang; Liu, Yu-Ru On the number of prime factors with a given multiplicity over \(h\)-free and \(h\)-full numbers. (English) Zbl 07939413 J. Number Theory 267, 176-201 (2025). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11N05 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daniels, Taylor Legendre-signed partition numbers. (English) Zbl 07933889 J. Math. Anal. Appl. 542, No. 1, Article ID 128717, 43 p. (2025). MSC: 11N37 11M06 11P82 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nagaraj, S. V. Progress towards a conjecture of S. W. Graham. (English) Zbl 07930595 J. Number Theory 266, 281-294 (2025). MSC: 11N25 11Y35 × Cite Format Result Cite Review PDF Full Text: DOI
Hough, Robert D.; Lee, Eun Hye Subconvexity of twisted Shintani zeta functions. (English) Zbl 07930587 J. Number Theory 266, 62-97 (2025). MSC: 11M41 11N45 11N64 11F12 11H06 11E45 12F05 43A85 42B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cowan, Alex A twisted additive divisor problem. (English) Zbl 07930585 J. Number Theory 266, 1-32 (2025). Reviewer: Anton Deitmar (Tübingen) MSC: 11F12 11F66 11F72 11M41 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauke, Manuel; Kowalski, Emmanuel Rational approximation with chosen numerators. arXiv:2502.08335 Preprint, arXiv:2502.08335 [math.NT] (2025). MSC: 11J04 11J83 11N05 11J71 11J20 × Cite Format Result Cite Full Text: arXiv
Misra, Bikram; Saha, Biswajyoti; Sharma, Anubhav On additive convolution sum of arithmetic functions and related questions. arXiv:2502.08305 Preprint, arXiv:2502.08305 [math.NT] (2025). MSC: 11A25 11N37 × Cite Format Result Cite Full Text: arXiv
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander Almost periodic stochastic processes with applications to analytic number theory. arXiv:2502.04969 Preprint, arXiv:2502.04969 [math.PR] (2025). MSC: 11N37 60F17 60G10 11M26 × Cite Format Result Cite Full Text: arXiv OA License
Christopherson, Bryce Alan Ramsey-Theoretic Characterizations of Classically Non-Ramseyian Problems. arXiv:2502.04311 Preprint, arXiv:2502.04311 [math.CO] (2025). MSC: 05C55 05D10 11A41 11N05 11N13 11N32 × Cite Format Result Cite Full Text: arXiv
Grantham, Jon; Graves, Hester Primes of the Form \(m^2+1\) and Goldbach’s ‘Other Other’ Conjecture. arXiv:2502.03513 Preprint, arXiv:2502.03513 [math.NT] (2025). MSC: 11N32 11P32 × Cite Format Result Cite Full Text: arXiv OA License
Carmichael, Ned The Second Moment of Sums of Hecke Eigenvalues I. arXiv:2502.03437 Preprint, arXiv:2502.03437 [math.NT] (2025). MSC: 11F30 11N37 11F11 × Cite Format Result Cite Full Text: arXiv OA License
Carmichael, Ned The Second Moment of Sums of Hecke Eigenvalues II. arXiv:2502.03436 Preprint, arXiv:2502.03436 [math.NT] (2025). MSC: 11F30 11N37 11F11 × Cite Format Result Cite Full Text: arXiv OA License
He, David; Tubbenhauer, Daniel Growth Problems for Representations of Finite Monoids. arXiv:2502.02849 Preprint, arXiv:2502.02849 [math.RT] (2025). MSC: 11N45 18M05 20M20 20M30 × Cite Format Result Cite Full Text: arXiv OA License
Dudek, Adrian W.; Johnston, Daniel R. Almost primes between all squares. arXiv:2501.18048 Preprint, arXiv:2501.18048 [math.NT] (2025). MSC: 11N36 11N05 × Cite Format Result Cite Full Text: arXiv OA License
Janisch, Maximilian Probabilistic interpretation of the Selberg–Delange Method in analytic number theory. arXiv:2501.17535 Preprint, arXiv:2501.17535 [math.NT] (2025). MSC: 11K99 11N99 × Cite Format Result Cite Full Text: arXiv
Nath, Kunjakanan; Xie, Likun Almost primes and primes that are sums of two squares plus one. arXiv:2501.16723 Preprint, arXiv:2501.16723 [math.NT] (2025). MSC: 11N05 11N35 11N36 × Cite Format Result Cite Full Text: arXiv OA License
Rotgé, Jonathan Étude statistique du facteur premier médian, 3 : lois de répartition. arXiv:2501.15956 Preprint, arXiv:2501.15956 [math.NT] (2025). MSC: 11N25 11N37 × Cite Format Result Cite Full Text: arXiv OA License
Rotgé, Jonathan Étude statistique du facteur premier médian, 2 : lois locales. arXiv:2501.15951 Preprint, arXiv:2501.15951 [math.NT] (2025). MSC: 11N25 11N37 × Cite Format Result Cite Full Text: arXiv OA License
Rotgé, Jonathan Étude statistique du facteur premier médian, 1 : valeur moyenne. arXiv:2501.15947 Preprint, arXiv:2501.15947 [math.NT] (2025). MSC: 11N25 11N37 × Cite Format Result Cite Full Text: arXiv OA License
Li, Jiamin; Liu, Jianya Anisotropic quadratic equations in three variables. arXiv:2501.15033 Preprint, arXiv:2501.15033 [math.NT] (2025). MSC: 11P32 11D09 11N36 × Cite Format Result Cite Full Text: arXiv OA License
Krishnamoorthy, Krishnarjun On variants of Chowla’s conjecture. arXiv:2501.10962 Preprint, arXiv:2501.10962 [math.NT] (2025). MSC: 11N37 11P32 11N35 11T06 × Cite Format Result Cite Full Text: arXiv
Iverson, Valentio; Sanjaya, Gian Cordana; Wang, Xiaoheng Squarefree discriminants of polynomials with prime coefficients. arXiv:2501.09697 Preprint, arXiv:2501.09697 [math.NT] (2025). MSC: 11N32 11N36 11T06 × Cite Format Result Cite Full Text: arXiv
Ramaré, Olivier Rudin Inequality, Chang Theorem, primes and squares. arXiv:2501.05056 Preprint, arXiv:2501.05056 [math.NT] (2025). MSC: 11B30 11N36 42A05 × Cite Format Result Cite Full Text: arXiv
Revers, Michael New bounds in R.S. Lehman’s estimates for the difference \(\pi\left( x\right) -li\left( x\right) \). arXiv:2501.04488 Preprint, arXiv:2501.04488 [math.NT] (2025). MSC: 11M26 11N05 11Y11 11Y35 × Cite Format Result Cite Full Text: arXiv
Drmota, Michael; Spiegelhofer, Lukas The joint distribution of binary and ternary digits sums. arXiv:2501.00850 Preprint, arXiv:2501.00850 [math.NT] (2025). MSC: 11A63 11N60 × Cite Format Result Cite Full Text: arXiv OA License
Sawin, Will Square-root cancellation for sums of factorization functions over squarefree progressions in \(\mathbb{F}_q[t]\). (English) Zbl 07983481 Acta Math. 233, No. 2, 285-418 (2024). MSC: 11N37 11T55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Minamide, T. Makoto; Tanigawa, Yoshio; Watt, Nigel On the sum of \(\Delta_k(n)\) in the Piltz divisor problem for \(k=3\) and \(k=4\). (English) Zbl 07981251 Acta Arith. 216, No. 4, 291-327 (2024). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tang, Hengcai; Wang, Youjun Mean values related to the Dedekind zeta-function. (English) Zbl 07980791 Czech. Math. J. 74, No. 4, 1265-1274 (2024). MSC: 11F30 11F11 11N37 11F66 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Yongli; Wang, Jiankang; Zhang, Bo; Xu, Zhefeng Partitions into \(m\)-th Lehmer numbers and \(k\)-th power residues in \(\mathbb{Z}_p\). (English) Zbl 07980019 Math. Inequal. Appl. 27, No. 3, 669-678 (2024). MSC: 11A07 11N69 11L05 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Ya-Fang On a sum involving the von Mangoldt and the integral part function. (English) Zbl 07978995 J. Ramanujan Math. Soc. 39, No. 4, 337-347 (2024). MSC: 11N05 11L07 11N37 × Cite Format Result Cite Review PDF Full Text: Link
Baier, Stephan; Roy, Sayantan A note on the distribution of prime idealsin real quadratic fields. (English) Zbl 07977871 Funct. Approximatio, Comment. Math. 71, No. 2, 201-217 (2024). MSC: 11R44 11E25 11N36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Hua Ning; Zhou, Li Li On the distribution of special multiplicative functions in sets of integers with restricted digits. (Chinese. English summary) Zbl 07974355 Acta Math. Sin., Chin. Ser. 67, No. 6, 1119-1134 (2024). MSC: 11A63 11N25 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Lin; Li, Huixi; Wang, Biao Distribution of monomial-prime numbers and Mertens sum evaluations. (English) Zbl 07973067 Indian J. Pure Appl. Math. 55, No. 4, 1440-1455 (2024). MSC: 11N25 11N37 11N80 × Cite Format Result Cite Review PDF Full Text: DOI
Dimitrov, Stoyan Prime numbers of the form \([\mathbf{n}^c \tan^{\theta} (\log \mathbf{n})]\). (English) Zbl 07973048 Indian J. Pure Appl. Math. 55, No. 4, 1198-1209 (2024). MSC: 11N05 11L07 11N13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goswami, Sayan; Huang, Wen; Wu, Xiaosheng On the set of Kronecker numbers. (English) Zbl 07970505 Bull. Aust. Math. Soc. 110, No. 2, 262-270 (2024). MSC: 11N05 37A44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Corrigan, C. C. A note on the zeros of \(L\)-functions associated to fixed-order Dirichlet characters. (English) Zbl 07970504 Bull. Aust. Math. Soc. 110, No. 2, 252-261 (2024). MSC: 11M26 11N35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jindal, Ankita; Nair, Saranya G.; Shorey, Tarlok N. Extension of irreducibility results on generalized Laguerre polynomials \(L_n^{(-n-s-1)}(x)\). (English) Zbl 07966701 Publ. Math. Debr. 105, No. 3-4, 473-494 (2024). MSC: 11A41 11B25 11N05 11N13 11C08 11Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Dubickas, Artũras Multiplicative group generated by quotients of integral parts. (English) Zbl 07966659 Period. Math. Hung. 89, No. 2, 355-362 (2024). MSC: 11B05 11B83 11N05 11N37 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Huaning; Liu, Zehua The sum-of-digits function in rings of residue classes. (English) Zbl 07966658 Period. Math. Hung. 89, No. 2, 335-354 (2024). MSC: 11A63 11N60 11L03 11L40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xiaotian; Zhai, Wenguang An additive problem over intersection of two Piatetski-Shapiro prime sets and almost-primes. (English) Zbl 07966654 Period. Math. Hung. 89, No. 2, 265-297 (2024). MSC: 11L07 11L20 11P32 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Vindas, J. On the estimate \(M(x)=o(x)\) for Beurling generalized numbers. (English) Zbl 07966650 Anal. Math. 50, No. 4, 1131-1140 (2024). MSC: 11N80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sarkar, A.; Shahvez Alam, M. Average behaviour of Fourier coefficients of \(j\)-symmetric power \(L\)-functions over some polynomials. (English) Zbl 07966618 Acta Math. Hung. 174, No. 1, 75-93 (2024). MSC: 11F30 11F11 11M06 11N37 × Cite Format Result Cite Review PDF Full Text: DOI
De Carli, Laura; Echezabal, Andrew; Laporta, Maurizio Approximating the divisor functions. (English) Zbl 07965041 J. Anal. 32, No. 5, 2503-2512 (2024). MSC: 11N37 42A10 40A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lao, Huixue; Liu, Huafeng; Yu, Ruotong On high power sums of a hybrid arithmetic function. (English) Zbl 07964836 Math. Slovaca 74, No. 6, 1397-1410 (2024). MSC: 11N37 11F30 11F66 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Daniel; Kaneko, Ikuya; Martin, Spencer; Schildkraut, Carl On a Mertens-type conjecture for number fields. (English) Zbl 07964102 Math. Proc. Camb. Philos. Soc. 177, No. 3, 481-523 (2024). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N56 11N64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Donoso, Sebastián; Le, Anh N.; Moreira, Joel; Sun, Wenbo Averages of completely multiplicative functions over the Gaussian integers – a dynamical approach. (English) Zbl 07962849 Trans. Am. Math. Soc. 377, No. 10, 7081-7115 (2024). MSC: 37A44 11N99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Park, Poo-Sung On multiplicative functions which are additive on positive cubes. (English) Zbl 07962139 Aequationes Math. 98, No. 6, 1457-1474 (2024). MSC: 11A25 11N64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banerjee, Pradipto; Kundu, Amit The Brun-Hooley sieve for \(\mathbb{F}_2[X]\) and squarefree shifts of integer polynomials. (English) Zbl 07962074 Proc. Edinb. Math. Soc., II. Ser. 67, No. 4, 1171-1195 (2024). MSC: 11C08 11T06 11N35 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Laporta, Maurizio On Ramanujan expansions and primes in arithmetic progressions. (English) Zbl 07961620 Abh. Math. Semin. Univ. Hamb. 94, No. 2, 209-224 (2024). MSC: 11N05 11P32 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elma, Ertan; Martin, Greg Distribution of the number of prime factors with a given multiplicity. (English) Zbl 07960688 Can. Math. Bull. 67, No. 4, 1107-1122 (2024). MSC: 11N37 11N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akbary, Amir; Wong, Peng-Jie Fourier coefficients of automorphic \(L\)-functions over primes in ray classes. (English) Zbl 07960201 J. Ramanujan Math. Soc. 39, No. 3, 265-280 (2024). MSC: 11F30 11M41 11N13 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Rodgers, Brad Arithmetic consequences of the GUE conjecture for zeta zeros. (English) Zbl 07959877 Mich. Math. J. 74, No. 5, 899-976 (2024). MSC: 11M26 11M45 11M50 11N05 × Cite Format Result Cite Review PDF Full Text: DOI
Román, Gábor Average of certain multiplicative functions over integers without small and large prime factors. (English) Zbl 07959633 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 57, 337-362 (2024). MSC: 11N37 × Cite Format Result Cite Review PDF
Kátai, Imre; Khanh, Biu Minh Mai; Phong, Bui Minh On the equation \(F(p^k) = F(p^k - 1) + 1\). (English) Zbl 07959619 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 57, 47-53 (2024). MSC: 11A07 11A25 11N25 11N64 × Cite Format Result Cite Review PDF
Kátai, Imre; Phong, Bui-Minh On the iterates of some multiplicative functions. (English) Zbl 07959611 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 56, 263-270 (2024). MSC: 11K65 11N37 11N64 × Cite Format Result Cite Review PDF
Indlekofer, Karl-Heinz; Kaya, Erdener Estimates for multiplicative functions. I. (English) Zbl 07959610 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 56, 249-261 (2024). MSC: 11A25 11K65 11N37 × Cite Format Result Cite Review PDF
Gun, Sanoli; Ramaré, Olivier; Sivaraman, Jyothsnaa An application of counting ideals in ray classes. (English) Zbl 07958560 Acta Arith. 216, No. 2, 99-121 (2024). MSC: 11R44 11N35 11N36 11N32 × Cite Format Result Cite Review PDF Full Text: DOI
Nakai, Hirofumi A remark on the ratio of consecutive primes. (English) Zbl 07957650 Am. Math. Mon. 131, No. 10, 903-904 (2024). MSC: 11A41 11N05 × Cite Format Result Cite Review PDF Full Text: DOI
Martin, Greg; Chau Nguyen The least primary factor of the multiplicative group. (English) Zbl 07957199 Int. J. Number Theory 20, No. 10, 2509-2527 (2024). MSC: 11N25 11N37 11N45 11N64 20K01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhardwaj, Anand; Degen, Luisa; Petkov, Radostin; Stanbury, Sidney A study of Cunningham bounds through rogue primes. (English) Zbl 07956222 PUMP J. Undergrad. Res. 7, 124-156 (2024). MSC: 11A41 11B50 11N13 11P32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Srisopha, Sunanta; Srichan, Teerapat On the distribution of consecutive \((k, r)\)-integer primitive roots modulo \(p\). (English) Zbl 07954780 J. Anal. 32, No. 3, 1297-1308 (2024). MSC: 11N37 11N64 × Cite Format Result Cite Review PDF Full Text: DOI
Parry, Tomos A note on the distribution of \(d_3 (n)\) in arithmetic progressions. (English) Zbl 07951615 Ramanujan J. 65, No. 4, 1697-1708 (2024). MSC: 11N99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ngo, Hieu T. On roots of quadratic congruences. (English) Zbl 07950045 Bull. Lond. Math. Soc. 56, No. 9, 2886-2910 (2024). MSC: 11L15 11N75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McGown, Kevin J.; Tucker, Amanda An improved error term for counting \(D_4\)-quartic fields. (English) Zbl 07950044 Bull. Lond. Math. Soc. 56, No. 9, 2874-2885 (2024). Reviewer: Peter Koymans (Utrecht) MSC: 11N45 11R16 11R45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paterson, Ross The failure of Galois descent for \(p\)-Selmer groups of elliptic curves. (English) Zbl 07950036 Math. Proc. Camb. Philos. Soc. 177, No. 1, 185-218 (2024). MSC: 11G05 11G07 11N45 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bérczes, Attila; Bugeaud, Yann; Győry, Kálmán; Mello, Jorge; Ostafe, Alina; Sha, Min Multiplicative dependence of rational values modulo approximate finitely generated groups. (English) Zbl 07950034 Math. Proc. Camb. Philos. Soc. 177, No. 1, 149-165 (2024). Reviewer: Tsz Ho Chan (Marietta) MSC: 11N25 11R04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gorodetsky, Ofir; Lichtman, Jared Duker; Wong, Mo Dick On Erdős sums of almost primes. (Sur les sommes d’Erdős de presque premiers.) (English. French summary) Zbl 07949973 C. R., Math., Acad. Sci. Paris 362, 1571-1596 (2024). MSC: 11N25 11Y60 11A05 60G18 60H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hilgart, Tobias; Ziegler, Volker Twisted Thue equations with multiple exponents in fixed number fields. (English. French summary) Zbl 07948979 J. Théor. Nombres Bordx. 36, No. 2, 621-635 (2024). MSC: 11D59 11N56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pandey, Mayank; Woo, Katharine Small-scale distribution of linear patterns of primes. (English) Zbl 07947511 J. Lond. Math. Soc., II. Ser. 110, No. 4, Article ID e13001, 24 p. (2024). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N05 11N13 11N25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhai, Wen Guang On some sums involving small arithmetic functions. (English) Zbl 07946958 Acta Math. Sin., Engl. Ser. 40, No. 10, 2497-2518 (2024). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11L07 11N37 × Cite Format Result Cite Review PDF Full Text: DOI
Gabdullin, Mikhail R.; Radomskii, Artyom O. Prime avoiding numbers form a basis of order 2. (English. Russian original) Zbl 07945687 Sb. Math. 215, No. 5, 612-633 (2024); translation from Mat. Sb. 215, No. 5, 47-70 (2024). MSC: 11B13 11N35 11P05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Shetty, Anupriya; Shankar, B. R. When sets can or cannot be product-dominant. (English) Zbl 07945324 Proc. Jangjeon Math. Soc. 27, No. 4, 743-752 (2024). MSC: 11B75 11N99 11P70 × Cite Format Result Cite Review PDF Full Text: DOI
Alam, Mahbub; Ghosh, Anish; Han, Jiyoung Higher moment formulae and limiting distributions of lattice points. (English) Zbl 07943183 J. Inst. Math. Jussieu 23, No. 5, 2081-2125 (2024). MSC: 11N45 22F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv