Sanna, Carlo On the index of appearance of a Lucas sequence. (English) Zbl 07823306 Ramanujan J. 63, No. 4, 1199-1223 (2024). MSC: 11B39 11N05 11N37 PDFBibTeX XMLCite \textit{C. Sanna}, Ramanujan J. 63, No. 4, 1199--1223 (2024; Zbl 07823306) Full Text: DOI arXiv
Hua, Guodong Deterministic comparison of cusp form coefficients over certain sequences. (English) Zbl 07823301 Ramanujan J. 63, No. 4, 1089-1107 (2024). MSC: 11F11 11F30 11M06 11N37 11F66 PDFBibTeX XMLCite \textit{G. Hua}, Ramanujan J. 63, No. 4, 1089--1107 (2024; Zbl 07823301) Full Text: DOI
Lin, Yongxiao; Michel, Philippe On algebraic twists with composite moduli. (English) Zbl 07812011 Ramanujan J. 63, No. 3, 803-837 (2024). MSC: 11F11 11N75 11F55 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{P. Michel}, Ramanujan J. 63, No. 3, 803--837 (2024; Zbl 07812011) Full Text: DOI arXiv
Carrillo Santana, Sebastián The first negative Fourier coefficient of an Eisenstein series newform. (English) Zbl 07812005 Ramanujan J. 63, No. 3, 687-697 (2024). Reviewer: İlker İnam (Bilecik) MSC: 11F30 11N36 PDFBibTeX XMLCite \textit{S. Carrillo Santana}, Ramanujan J. 63, No. 3, 687--697 (2024; Zbl 07812005) Full Text: DOI arXiv OA License
Zhu, Wenbin Some problems about friable numbers in Piatetski-Shapiro sequence. (English) Zbl 07812002 Ramanujan J. 63, No. 3, 603-656 (2024). Reviewer: Giovanni Coppola (Napoli) MSC: 11L07 11N25 11B83 11J71 11P32 11N36 PDFBibTeX XMLCite \textit{W. Zhu}, Ramanujan J. 63, No. 3, 603--656 (2024; Zbl 07812002) Full Text: DOI
Li, Jinjiang; Xue, Fei; Zhang, Min A quaternary Diophantine inequality with prime numbers of a special form. (English) Zbl 07796578 Ramanujan J. 63, No. 2, 259-291 (2024). MSC: 11L07 11L20 11P05 11P32 11N36 PDFBibTeX XMLCite \textit{J. Li} et al., Ramanujan J. 63, No. 2, 259--291 (2024; Zbl 07796578) Full Text: DOI
Acharya, R.; Drappeau, S.; Ganguly, S.; Ramaré, O. A modular analogue of a problem of Vinogradov. (English) Zbl 07743406 Ramanujan J. 62, No. 2, 365-382 (2023). MSC: 11M06 11N56 11N80 PDFBibTeX XMLCite \textit{R. Acharya} et al., Ramanujan J. 62, No. 2, 365--382 (2023; Zbl 07743406) Full Text: DOI arXiv
Heyman, Randell; Tóth, László Hyperbolic summation for functions of the GCD and LCM of several integers. (English) Zbl 1523.11001 Ramanujan J. 62, No. 1, 273-290 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11A05 11A25 11N37 PDFBibTeX XMLCite \textit{R. Heyman} and \textit{L. Tóth}, Ramanujan J. 62, No. 1, 273--290 (2023; Zbl 1523.11001) Full Text: DOI arXiv
Axler, Christian On Robin’s inequality. (English) Zbl 07713337 Ramanujan J. 61, No. 3, 909-919 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11A25 11N56 PDFBibTeX XMLCite \textit{C. Axler}, Ramanujan J. 61, No. 3, 909--919 (2023; Zbl 07713337) Full Text: DOI arXiv
Deshouillers, Jean-Marc; Hassani, Mehdi; Nasiri-Zare, Mohammad On a question of Luca and Schinzel over Segal-Piatetski-Shapiro sequences. (English) Zbl 07713333 Ramanujan J. 61, No. 3, 839-850 (2023). Reviewer: Christoph Aistleitner (Graz) MSC: 11N64 11K31 11K38 11B50 PDFBibTeX XMLCite \textit{J.-M. Deshouillers} et al., Ramanujan J. 61, No. 3, 839--850 (2023; Zbl 07713333) Full Text: DOI arXiv
Chaubey, Sneha; Goel, Shivani On the distribution of Ramanujan sums over number fields. (English) Zbl 1526.11047 Ramanujan J. 61, No. 3, 813-837 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11N37 11R42 PDFBibTeX XMLCite \textit{S. Chaubey} and \textit{S. Goel}, Ramanujan J. 61, No. 3, 813--837 (2023; Zbl 1526.11047) Full Text: DOI arXiv
Elliott, P. D. T. A.; Kish, Jonathan Harmonic analysis on the positive rationals: computation of character sums. (English) Zbl 1528.11068 Ramanujan J. 61, No. 1, 237-250 (2023). Reviewer: Huaning Liu (Xi’an) MSC: 11K65 11K70 11K99 20K99 11L05 11N64 11N99 PDFBibTeX XMLCite \textit{P. D. T. A. Elliott} and \textit{J. Kish}, Ramanujan J. 61, No. 1, 237--250 (2023; Zbl 1528.11068) Full Text: DOI arXiv
Ma, Jing; Sun, Huayan On a sum involving certain arithmetic functions and the integral part function. (English) Zbl 1519.11052 Ramanujan J. 60, No. 4, 1025-1032 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11L03 PDFBibTeX XMLCite \textit{J. Ma} and \textit{H. Sun}, Ramanujan J. 60, No. 4, 1025--1032 (2023; Zbl 1519.11052) Full Text: DOI arXiv
Li, Huixi Additive representations of natural numbers. (English) Zbl 1526.11054 Ramanujan J. 60, No. 4, 999-1024 (2023). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N13 11N36 11P32 PDFBibTeX XMLCite \textit{H. Li}, Ramanujan J. 60, No. 4, 999--1024 (2023; Zbl 1526.11054) Full Text: DOI
Guo, Victor Zhenyu; Li, Jinjiang; Zhang, Min Piatetski-Shapiro primes in arithmetic progressions. (English) Zbl 1525.11099 Ramanujan J. 60, No. 3, 677-692 (2023). Reviewer: László Tóth (Pécs) MSC: 11N05 11L07 11B25 11N25 PDFBibTeX XMLCite \textit{V. Z. Guo} et al., Ramanujan J. 60, No. 3, 677--692 (2023; Zbl 1525.11099) Full Text: DOI
Mukherjee, Gargi Log-convexity and the overpartition function. (English) Zbl 1509.05030 Ramanujan J. 60, No. 2, 517-531 (2023). Reviewer: Firdous Ahmad Mala (Srinagar) MSC: 05A20 11N37 PDFBibTeX XMLCite \textit{G. Mukherjee}, Ramanujan J. 60, No. 2, 517--531 (2023; Zbl 1509.05030) Full Text: DOI arXiv
Zhao, Yuetong; Zhai, Wenguang; Li, Jinjiang Sums of the \(k\)th divisor function of the ternary quadratic with prime variables. (English) Zbl 07659063 Ramanujan J. 60, No. 2, 485-504 (2023). Reviewer: Enrique Treviño (Lake Forest) MSC: 11P55 11N37 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Ramanujan J. 60, No. 2, 485--504 (2023; Zbl 07659063) Full Text: DOI
Weingartner, Andreas Somewhat smooth numbers in short intervals. (English) Zbl 1518.11065 Ramanujan J. 60, No. 2, 447-453 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N25 PDFBibTeX XMLCite \textit{A. Weingartner}, Ramanujan J. 60, No. 2, 447--453 (2023; Zbl 1518.11065) Full Text: DOI arXiv
Li, Boyang; Wang, Yuchao Diophantine approximation with prime variables and mixed powers. (English) Zbl 07659057 Ramanujan J. 60, No. 2, 371-389 (2023). Reviewer: Guangshi Lü (Jinan) MSC: 11D75 11P32 11N36 PDFBibTeX XMLCite \textit{B. Li} and \textit{Y. Wang}, Ramanujan J. 60, No. 2, 371--389 (2023; Zbl 07659057) Full Text: DOI
Kumar, Abhimanyu Investigation of norms of overpartitions. (English) Zbl 1515.11099 Ramanujan J. 60, No. 1, 181-193 (2023). Reviewer: Mihály Szalay (Budapest) MSC: 11P82 11N99 11M06 33B15 PDFBibTeX XMLCite \textit{A. Kumar}, Ramanujan J. 60, No. 1, 181--193 (2023; Zbl 1515.11099) Full Text: DOI
Johnston, Daniel R. Improving bounds on prime counting functions by partial verification of the Riemann hypothesis. (English) Zbl 1512.11099 Ramanujan J. 59, No. 4, 1307-1321 (2022). Reviewer: Ghaith A. Hiary (Columbus) MSC: 11Y70 11M26 11N05 PDFBibTeX XMLCite \textit{D. R. Johnston}, Ramanujan J. 59, No. 4, 1307--1321 (2022; Zbl 1512.11099) Full Text: DOI arXiv
Mangerel, Alexander P. Additive functions in short intervals, gaps and a conjecture of Erdős. (English) Zbl 1510.11144 Ramanujan J. 59, No. 4, 1023-1090 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N64 PDFBibTeX XMLCite \textit{A. P. Mangerel}, Ramanujan J. 59, No. 4, 1023--1090 (2022; Zbl 1510.11144) Full Text: DOI arXiv
Zhou, Guang-Liang; Ding, Yuchen Sums of the higher divisor function of diagonal homogeneous forms. (English) Zbl 1498.11200 Ramanujan J. 59, No. 3, 933-945 (2022). MSC: 11N37 11E76 11P55 PDFBibTeX XMLCite \textit{G.-L. Zhou} and \textit{Y. Ding}, Ramanujan J. 59, No. 3, 933--945 (2022; Zbl 1498.11200) Full Text: DOI
Aymone, Marco; Bueno, Caio; Medeiros, Kevin Multiplicative functions supported on the \(k\)-free integers with small partial sums. (English) Zbl 1504.11099 Ramanujan J. 59, No. 3, 713-728 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11L40 11M26 PDFBibTeX XMLCite \textit{M. Aymone} et al., Ramanujan J. 59, No. 3, 713--728 (2022; Zbl 1504.11099) Full Text: DOI arXiv
Kiuchi, Isao On sums of sums involving cube-full numbers. (English) Zbl 1519.11051 Ramanujan J. 59, No. 1, 279-296 (2022). Reviewer: S. Drappeau (Marseille) MSC: 11N37 PDFBibTeX XMLCite \textit{I. Kiuchi}, Ramanujan J. 59, No. 1, 279--296 (2022; Zbl 1519.11051) Full Text: DOI
Borsos, Bertalan; Kovács, Attila; Tihanyi, Norbert Tight upper and lower bounds for the reciprocal sum of Proth primes. (English) Zbl 1525.11097 Ramanujan J. 59, No. 1, 181-198 (2022). MSC: 11N05 11A41 11B25 11N13 PDFBibTeX XMLCite \textit{B. Borsos} et al., Ramanujan J. 59, No. 1, 181--198 (2022; Zbl 1525.11097) Full Text: DOI
Qi, Yuchan; Liu, Huaning The truncated sum of digits function of polynomial sequences. (English) Zbl 1507.11010 Ramanujan J. 59, No. 1, 1-29 (2022). Reviewer: Mihály Szalay (Budapest) MSC: 11A63 11L03 11N60 PDFBibTeX XMLCite \textit{Y. Qi} and \textit{H. Liu}, Ramanujan J. 59, No. 1, 1--29 (2022; Zbl 1507.11010) Full Text: DOI
Sui, Yankun; Liu, Dan On the average number of subgroups of the group \(\mathbb{Z}_m \times \mathbb{Z}_n\) with \(k\)-th power sequence. (English) Zbl 1509.11093 Ramanujan J. 58, No. 4, 1333-1351 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N45 20K01 20K27 PDFBibTeX XMLCite \textit{Y. Sui} and \textit{D. Liu}, Ramanujan J. 58, No. 4, 1333--1351 (2022; Zbl 1509.11093) Full Text: DOI
Duan, Lian; Ma, Ning; Yi, Shaoyun Generalizations of Alladi’s formula for arithmetical semigroups. (English) Zbl 1508.11099 Ramanujan J. 58, No. 4, 1285-1319 (2022). Reviewer: Andrew O’Desky (Princeton) MSC: 11N80 11R45 20M13 11R44 PDFBibTeX XMLCite \textit{L. Duan} et al., Ramanujan J. 58, No. 4, 1285--1319 (2022; Zbl 1508.11099) Full Text: DOI arXiv
Li, Jinjiang; Zhang, Min; Xue, Fei On a ternary Diophantine equation involving fractional powers with prime variables of a special form. (English) Zbl 1512.11061 Ramanujan J. 58, No. 4, 1171-1199 (2022). Reviewer: Thomas Stoll (Vandœuvre-lès Nancy) MSC: 11L07 11L20 11P05 11P32 11N36 PDFBibTeX XMLCite \textit{J. Li} et al., Ramanujan J. 58, No. 4, 1171--1199 (2022; Zbl 1512.11061) Full Text: DOI
Nicolas, Jean-Louis The sum of divisors function and the Riemann hypothesis. (English) Zbl 1497.11243 Ramanujan J. 58, No. 4, 1113-1157 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N56 11M26 11N37 PDFBibTeX XMLCite \textit{J.-L. Nicolas}, Ramanujan J. 58, No. 4, 1113--1157 (2022; Zbl 1497.11243) Full Text: DOI
Cao, Xiaodong; Tanigawa, Yoshio; Zhai, Wenguang On hybrid moments of \(\Delta_2 (x)\) and \(\Delta_3 (x)\). (English) Zbl 1503.11126 Ramanujan J. 58, No. 2, 597-631 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 PDFBibTeX XMLCite \textit{X. Cao} et al., Ramanujan J. 58, No. 2, 597--631 (2022; Zbl 1503.11126) Full Text: DOI
Liu, Dan; Sui, Yankun On the error term \(\Delta_{(k,l)}(x)\). (English) Zbl 1499.11292 Ramanujan J. 58, No. 2, 523-548 (2022). MSC: 11N37 11M06 PDFBibTeX XMLCite \textit{D. Liu} and \textit{Y. Sui}, Ramanujan J. 58, No. 2, 523--548 (2022; Zbl 1499.11292) Full Text: DOI
Kuperberg, Vivian; Rodgers, Brad; Roditty-Gershon, Edva Sums of singular series and primes in short intervals in algebraic number fields. (English) Zbl 1499.11285 Ramanujan J. 58, No. 2, 291-317 (2022). MSC: 11N05 11R47 PDFBibTeX XMLCite \textit{V. Kuperberg} et al., Ramanujan J. 58, No. 2, 291--317 (2022; Zbl 1499.11285) Full Text: DOI arXiv
Aloui, Karam On the correlation of the Thue-Morse sequence. (English) Zbl 1505.11019 Ramanujan J. 58, No. 3, 771-799 (2022). Reviewer: Michel Rigo (Liège) MSC: 11A63 11B85 11L03 11L07 11N25 PDFBibTeX XMLCite \textit{K. Aloui}, Ramanujan J. 58, No. 3, 771--799 (2022; Zbl 1505.11019) Full Text: DOI
Fox, Matthew S.; Karamchedu, Chaitanya On Ramanujan sums of a real variable and a new Ramanujan expansion for the divisor function. (English) Zbl 1503.11009 Ramanujan J. 58, No. 1, 229-237 (2022). Reviewer: Jürgen Spilker (Freiburg im Breisgau) MSC: 11A25 11L05 11N56 11A41 11M06 PDFBibTeX XMLCite \textit{M. S. Fox} and \textit{C. Karamchedu}, Ramanujan J. 58, No. 1, 229--237 (2022; Zbl 1503.11009) Full Text: DOI arXiv
Agwu, Anthony; Harris, Phillip; James, Kevin; Kannan, Siddarth; Li, Huixi Frobenius distributions of elliptic curves in short intervals on average. (English) Zbl 1497.11142 Ramanujan J. 58, No. 1, 75-120 (2022). MSC: 11G05 11N05 PDFBibTeX XMLCite \textit{A. Agwu} et al., Ramanujan J. 58, No. 1, 75--120 (2022; Zbl 1497.11142) Full Text: DOI
Ding, Yuchen; Lü, Xiaodong On sum of prime factors of composite positive integers. (English) Zbl 1498.11192 Ramanujan J. 57, No. 4, 1463-1471 (2022). MSC: 11N25 11A41 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{X. Lü}, Ramanujan J. 57, No. 4, 1463--1471 (2022; Zbl 1498.11192) Full Text: DOI
Li, Jinjiang; Zhang, Min; Xue, Fei An additive problem over Piatetski-Shapiro primes and almost-primes. (English) Zbl 07493918 Ramanujan J. 57, No. 4, 1307-1333 (2022). MSC: 11L07 11L20 11P32 11N36 PDFBibTeX XMLCite \textit{J. Li} et al., Ramanujan J. 57, No. 4, 1307--1333 (2022; Zbl 07493918) Full Text: DOI arXiv
Garcia, Stephan Ramon; Lee, Ethan Simpson Unconditional explicit Mertens’ theorems for number fields and Dedekind zeta residue bounds. (English) Zbl 1497.11278 Ramanujan J. 57, No. 3, 1169-1191 (2022). MSC: 11R42 11R29 11N05 11R11 PDFBibTeX XMLCite \textit{S. R. Garcia} and \textit{E. S. Lee}, Ramanujan J. 57, No. 3, 1169--1191 (2022; Zbl 1497.11278) Full Text: DOI arXiv
Pomerance, Carl; Weingartner, Andreas On primes and practical numbers. (English) Zbl 1505.11121 Ramanujan J. 57, No. 3, 981-1000 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{C. Pomerance} and \textit{A. Weingartner}, Ramanujan J. 57, No. 3, 981--1000 (2022; Zbl 1505.11121) Full Text: DOI arXiv Backlinks: MO
Tóth, László Another generalization of Euler’s arithmetic function and Menon’s identity. (English) Zbl 1486.11008 Ramanujan J. 57, No. 2, 811-822 (2022). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11N37 11A07 PDFBibTeX XMLCite \textit{L. Tóth}, Ramanujan J. 57, No. 2, 811--822 (2022; Zbl 1486.11008) Full Text: DOI arXiv
Juyal, Abhishek; Maji, Bibekananda; Sathyanarayana, Sumukha An exact formula for a Lambert series associated to a cusp form and the Möbius function. (English) Zbl 1496.11113 Ramanujan J. 57, No. 2, 769-784 (2022). Reviewer: Ghaith A. Hiary (Columbus) MSC: 11M06 11M26 11N37 PDFBibTeX XMLCite \textit{A. Juyal} et al., Ramanujan J. 57, No. 2, 769--784 (2022; Zbl 1496.11113) Full Text: DOI
Mastrostefano, Daniele A lower bound for the variance of generalized divisor functions in arithmetic progressions. (English) Zbl 1489.11155 Ramanujan J. 57, No. 2, 623-695 (2022). MSC: 11N64 11B25 PDFBibTeX XMLCite \textit{D. Mastrostefano}, Ramanujan J. 57, No. 2, 623--695 (2022; Zbl 1489.11155) Full Text: DOI arXiv
Nicolas, Jean-Louis Highly composite numbers and the Riemann hypothesis. (English) Zbl 1500.11072 Ramanujan J. 57, No. 2, 507-550 (2022). Reviewer: Prapanpong Pongsriiam (Nakhon Pathom) MSC: 11N56 11N37 PDFBibTeX XMLCite \textit{J.-L. Nicolas}, Ramanujan J. 57, No. 2, 507--550 (2022; Zbl 1500.11072) Full Text: DOI
Morrill, Thomas; Platt, Dave; Trudgian, Tim Sign changes in the prime number theorem. (English) Zbl 1485.11130 Ramanujan J. 57, No. 1, 165-173 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11M26 11N05 PDFBibTeX XMLCite \textit{T. Morrill} et al., Ramanujan J. 57, No. 1, 165--173 (2022; Zbl 1485.11130) Full Text: DOI arXiv
Zhang, Min; Li, Jinjiang On the Waring-Goldbach problem for squares, cubes and higher powers. (English) Zbl 1497.11246 Ramanujan J. 56, No. 3, 1123-1150 (2021). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P32 11P55 11N36 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{J. Li}, Ramanujan J. 56, No. 3, 1123--1150 (2021; Zbl 1497.11246) Full Text: DOI arXiv
Zhai, Wenguang The average size of Ramanujan sums over quadratic number fields. (English) Zbl 1475.11176 Ramanujan J. 56, No. 3, 953-969 (2021). MSC: 11N37 11L03 PDFBibTeX XMLCite \textit{W. Zhai}, Ramanujan J. 56, No. 3, 953--969 (2021; Zbl 1475.11176) Full Text: DOI arXiv
Afshar, Ardavan Highly composite polynomials and the maximum order of the divisor function in \(\mathbb{F}_q [t]\). (English) Zbl 1489.11203 Ramanujan J. 56, No. 2, 729-742 (2021). Reviewer: Van Thang Pham (Rochester) MSC: 11T55 11N25 11N56 PDFBibTeX XMLCite \textit{A. Afshar}, Ramanujan J. 56, No. 2, 729--742 (2021; Zbl 1489.11203) Full Text: DOI arXiv
Pongsriiam, Prapanpong; Vaughan, Robert C. The divisor function on residue classes. III. (English) Zbl 1482.11131 Ramanujan J. 56, No. 2, 697-719 (2021). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N37 11A25 11B25 PDFBibTeX XMLCite \textit{P. Pongsriiam} and \textit{R. C. Vaughan}, Ramanujan J. 56, No. 2, 697--719 (2021; Zbl 1482.11131) Full Text: DOI
Cully-Hugill, Michaela; Trudgian, Tim Two explicit divisor sums. (English) Zbl 1473.11184 Ramanujan J. 56, No. 1, 141-149 (2021). MSC: 11N37 11R29 PDFBibTeX XMLCite \textit{M. Cully-Hugill} and \textit{T. Trudgian}, Ramanujan J. 56, No. 1, 141--149 (2021; Zbl 1473.11184) Full Text: DOI arXiv
Wang, Biao The Ramanujan sum and Chebotarev densities. (English) Zbl 1469.11373 Ramanujan J. 55, No. 3, 1105-1111 (2021). MSC: 11N13 11R45 PDFBibTeX XMLCite \textit{B. Wang}, Ramanujan J. 55, No. 3, 1105--1111 (2021; Zbl 1469.11373) Full Text: DOI arXiv
Hajdu, Lajos; Tengely, Szabolcs Powers in arithmetic progressions. (English) Zbl 1481.11014 Ramanujan J. 55, No. 3, 965-986 (2021). Reviewer: C. P. Anil Kumar (Chennai) MSC: 11B25 11N64 11G30 11D25 PDFBibTeX XMLCite \textit{L. Hajdu} and \textit{S. Tengely}, Ramanujan J. 55, No. 3, 965--986 (2021; Zbl 1481.11014) Full Text: DOI
Lapkova, Kostadinka; Zhou, Nian Hong On the average sum of the \(k\) th divisor function over values of quadratic polynomials. (English) Zbl 1478.11117 Ramanujan J. 55, No. 3, 849-872 (2021). Reviewer: Mihály Szalay (Budapest) MSC: 11P55 11L07 11N37 PDFBibTeX XMLCite \textit{K. Lapkova} and \textit{N. H. Zhou}, Ramanujan J. 55, No. 3, 849--872 (2021; Zbl 1478.11117) Full Text: DOI arXiv
Burnett, Joseph Vade; Osterman, Otto Vaughn A generalization of regular convolutions and Ramanujan sums. (English) Zbl 1472.11032 Ramanujan J. 55, No. 2, 437-445 (2021). Reviewer: Giovanni Coppola (Napoli) MSC: 11A25 11N64 PDFBibTeX XMLCite \textit{J. V. Burnett} and \textit{O. V. Osterman}, Ramanujan J. 55, No. 2, 437--445 (2021; Zbl 1472.11032) Full Text: DOI
Kowalski, J. M. On the proportion of squarefree numbers among sums of cubic polynomials. (English) Zbl 1472.11270 Ramanujan J. 54, No. 2, 343-354 (2021). Reviewer: Mihály Szalay (Budapest) MSC: 11P55 11B25 11N32 PDFBibTeX XMLCite \textit{J. M. Kowalski}, Ramanujan J. 54, No. 2, 343--354 (2021; Zbl 1472.11270) Full Text: DOI
Mousavi, Hamed; Schmidt, Maxie D. Factorization theorems for relatively prime divisor sums, GCD sums and generalized Ramanujan sums. (English) Zbl 1472.11038 Ramanujan J. 54, No. 2, 309-341 (2021). Reviewer: Prapanpong Pongsriiam (Nakhon Pathom) MSC: 11A25 05A17 11N64 PDFBibTeX XMLCite \textit{H. Mousavi} and \textit{M. D. Schmidt}, Ramanujan J. 54, No. 2, 309--341 (2021; Zbl 1472.11038) Full Text: DOI arXiv
Dai, Haobo A note on the number of divisors of forms \(m^2+Nn^2\). (English) Zbl 1469.11379 Ramanujan J. 54, No. 2, 285-290 (2021). MSC: 11N37 PDFBibTeX XMLCite \textit{H. Dai}, Ramanujan J. 54, No. 2, 285--290 (2021; Zbl 1469.11379) Full Text: DOI
Djanković, Goran The least common multiple of random sets in polynomial rings over finite fields. (English) Zbl 1498.11236 Ramanujan J. 55, No. 1, 13-23 (2021). MSC: 11T55 11A05 11N60 11K99 PDFBibTeX XMLCite \textit{G. Djanković}, Ramanujan J. 55, No. 1, 13--23 (2021; Zbl 1498.11236) Full Text: DOI
Liu, Kui; Wu, Jie Weighted Erdős-Kac theorem in short intervals. (English) Zbl 1469.11388 Ramanujan J. 55, No. 1, 1-12 (2021). MSC: 11N60 11N36 11N37 PDFBibTeX XMLCite \textit{K. Liu} and \textit{J. Wu}, Ramanujan J. 55, No. 1, 1--12 (2021; Zbl 1469.11388) Full Text: DOI
Pollack, Paul Multiplicative partitions of numbers with a large squarefree divisor. (English) Zbl 1486.11120 Ramanujan J. 53, No. 3, 595-605 (2020). Reviewer: Kaisa Matomäki (Turku) MSC: 11N56 11A51 11N32 11N64 PDFBibTeX XMLCite \textit{P. Pollack}, Ramanujan J. 53, No. 3, 595--605 (2020; Zbl 1486.11120) Full Text: DOI
Tenenbaum, Gérald Correction to: “Moyennes effectives de fonctions multiplicatives complexes”. (English) Zbl 1465.11194 Ramanujan J. 53, No. 1, 243-244 (2020). MSC: 11N56 11K65 11N37 11N60 11N64 PDFBibTeX XMLCite \textit{G. Tenenbaum}, Ramanujan J. 53, No. 1, 243--244 (2020; Zbl 1465.11194) Full Text: DOI
Zhang, Wei Some results on divisor problems related to cusp forms. (English) Zbl 1469.11084 Ramanujan J. 53, No. 1, 75-83 (2020). MSC: 11F30 11F11 11F66 11N37 PDFBibTeX XMLCite \textit{W. Zhang}, Ramanujan J. 53, No. 1, 75--83 (2020; Zbl 1469.11084) Full Text: DOI
Munsch, Marc The maximum size of short character sums. (English) Zbl 1468.11169 Ramanujan J. 53, No. 1, 27-38 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L40 11N25 PDFBibTeX XMLCite \textit{M. Munsch}, Ramanujan J. 53, No. 1, 27--38 (2020; Zbl 1468.11169) Full Text: DOI arXiv
Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander A shifted sum for the congruent number problem. (English) Zbl 1475.11173 Ramanujan J. 51, No. 2, 267-274 (2020). Reviewer: Lee Troupe (Macon) MSC: 11N37 11G05 PDFBibTeX XMLCite \textit{T. A. Hulse} et al., Ramanujan J. 51, No. 2, 267--274 (2020; Zbl 1475.11173) Full Text: DOI arXiv
Tenenbaum, Gérald On local laws for the number of small prime factors. (English) Zbl 1466.11064 Ramanujan J. 51, No. 1, 153-161 (2020). Reviewer: Giovanni Coppola (Napoli) MSC: 11N25 11N37 11N60 PDFBibTeX XMLCite \textit{G. Tenenbaum}, Ramanujan J. 51, No. 1, 153--161 (2020; Zbl 1466.11064) Full Text: DOI arXiv
Alladi, Krishnaswami; Molnar, Todd The local distribution of the number of small prime factors: variation of the classical theme. (English) Zbl 1466.11055 Ramanujan J. 51, No. 1, 117-151 (2020). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11M41 11N25 11N37 11N60 PDFBibTeX XMLCite \textit{K. Alladi} and \textit{T. Molnar}, Ramanujan J. 51, No. 1, 117--151 (2020; Zbl 1466.11055) Full Text: DOI arXiv
Maier, Helmut; Singh, Saurabh Kumar On the set of divisors of Gaussian integers. (English) Zbl 1480.11116 Ramanujan J. 50, No. 2, 355-366 (2019). Reviewer: Kaisa Matomäki (Turku) MSC: 11N25 11N36 PDFBibTeX XMLCite \textit{H. Maier} and \textit{S. K. Singh}, Ramanujan J. 50, No. 2, 355--366 (2019; Zbl 1480.11116) Full Text: DOI
Goulden, I. P.; Granville, Andrew; Richmond, L. Bruce; Shallit, Jeffrey Natural exact covering systems and the reversion of the Möbius series. (English) Zbl 1427.05022 Ramanujan J. 50, No. 1, 211-235 (2019). MSC: 05A16 11A07 11A25 11B25 11N37 PDFBibTeX XMLCite \textit{I. P. Goulden} et al., Ramanujan J. 50, No. 1, 211--235 (2019; Zbl 1427.05022) Full Text: DOI arXiv
Lü, Xiaodong On unequal powers of primes and powers of 2. (English) Zbl 1472.11269 Ramanujan J. 50, No. 1, 111-121 (2019). MSC: 11P32 11N05 11P55 PDFBibTeX XMLCite \textit{X. Lü}, Ramanujan J. 50, No. 1, 111--121 (2019; Zbl 1472.11269) Full Text: DOI
Franze, C. S. A note on an asymptotic expansion related to the Dickman function. (English) Zbl 1470.11240 Ramanujan J. 49, No. 3, 515-530 (2019). MSC: 11N25 11N99 PDFBibTeX XMLCite \textit{C. S. Franze}, Ramanujan J. 49, No. 3, 515--530 (2019; Zbl 1470.11240) Full Text: DOI arXiv
Lebowitz-Lockard, Noah The distribution function of a polynomial in additive functions. (English) Zbl 1470.11247 Ramanujan J. 49, No. 3, 491-504 (2019). MSC: 11N60 PDFBibTeX XMLCite \textit{N. Lebowitz-Lockard}, Ramanujan J. 49, No. 3, 491--504 (2019; Zbl 1470.11247) Full Text: DOI
Wang, Zhiwei On the largest prime factors less than \(y\) of consecutive integers. (Sur les plus grands facteurs premiers inférieur à \(y\) d’entiers consécutifs.) (French. English summary) Zbl 1459.11182 Ramanujan J. 49, No. 3, 483-490 (2019). MSC: 11N25 11N36 PDFBibTeX XMLCite \textit{Z. Wang}, Ramanujan J. 49, No. 3, 483--490 (2019; Zbl 1459.11182) Full Text: DOI
Granville, Andrew; Koukoulopoulos, Dimitris Beyond the LSD method for the partial sums of multiplicative functions. (English) Zbl 1455.11128 Ramanujan J. 49, No. 2, 287-319 (2019). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 PDFBibTeX XMLCite \textit{A. Granville} and \textit{D. Koukoulopoulos}, Ramanujan J. 49, No. 2, 287--319 (2019; Zbl 1455.11128) Full Text: DOI arXiv
Li, Huixi On the representation of a large integer as the sum of a prime and a square-free number with at most three prime divisors. (English) Zbl 1459.11195 Ramanujan J. 49, No. 1, 141-158 (2019). MSC: 11P32 11N36 11N80 PDFBibTeX XMLCite \textit{H. Li}, Ramanujan J. 49, No. 1, 141--158 (2019; Zbl 1459.11195) Full Text: DOI
Saito, Seiken An asymptotic formula for the logarithm of generalized partition functions. (English) Zbl 1467.11088 Ramanujan J. 49, No. 1, 39-53 (2019). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 11P82 11N37 11N60 PDFBibTeX XMLCite \textit{S. Saito}, Ramanujan J. 49, No. 1, 39--53 (2019; Zbl 1467.11088) Full Text: DOI
Banerjee, S.; Chakraborty, K. Asymptotic behaviour of a Lambert series à la Zagier: Maass case. (English) Zbl 1441.11195 Ramanujan J. 48, No. 3, 567-575 (2019). MSC: 11M06 11M26 11N37 11F30 PDFBibTeX XMLCite \textit{S. Banerjee} and \textit{K. Chakraborty}, Ramanujan J. 48, No. 3, 567--575 (2019; Zbl 1441.11195) Full Text: DOI
Alkan, Emre; Yörük, Ekin Sıla Statistics and characterization of matrices by determinant and trace. (English) Zbl 1482.15030 Ramanujan J. 48, No. 1, 131-149 (2019). Reviewer: Roswitha Rissner (Klagenfurt) MSC: 15B36 15B57 15B52 15A15 11C20 11N13 11B25 PDFBibTeX XMLCite \textit{E. Alkan} and \textit{E. S. Yörük}, Ramanujan J. 48, No. 1, 131--149 (2019; Zbl 1482.15030) Full Text: DOI Link
Hou, Qing-Hu; Zhang, Zuo-Ru \(r\)-log-concavity of partition functions. (English) Zbl 1407.05016 Ramanujan J. 48, No. 1, 117-129 (2019). MSC: 05A17 11N37 11P81 PDFBibTeX XMLCite \textit{Q.-H. Hou} and \textit{Z.-R. Zhang}, Ramanujan J. 48, No. 1, 117--129 (2019; Zbl 1407.05016) Full Text: DOI
Tóth, László Ramanujan expansions of arithmetic functions of several variables. (English) Zbl 1417.11003 Ramanujan J. 47, No. 3, 589-603 (2018). MSC: 11A25 11N37 PDFBibTeX XMLCite \textit{L. Tóth}, Ramanujan J. 47, No. 3, 589--603 (2018; Zbl 1417.11003) Full Text: DOI arXiv
El-Farrah, Mahannah; Lanphier, Dominic Subgroups of cyclic groups and values of the Riemann zeta function. (English) Zbl 1502.20017 Ramanujan J. 47, No. 3, 547-564 (2018). MSC: 20D60 11A25 11B73 11N45 PDFBibTeX XMLCite \textit{M. El-Farrah} and \textit{D. Lanphier}, Ramanujan J. 47, No. 3, 547--564 (2018; Zbl 1502.20017) Full Text: DOI
Zhou, Nian Hong On the sum of the reciprocals of the differences between consecutive primes. (English) Zbl 1441.11243 Ramanujan J. 47, No. 2, 427-433 (2018). MSC: 11N05 11N36 11A41 PDFBibTeX XMLCite \textit{N. H. Zhou}, Ramanujan J. 47, No. 2, 427--433 (2018; Zbl 1441.11243) Full Text: DOI arXiv
Wakhare, Tanay Special classes of \(q\)-bracket operators. (English) Zbl 1400.05027 Ramanujan J. 47, No. 2, 309-316 (2018). MSC: 05A17 11P81 11N99 PDFBibTeX XMLCite \textit{T. Wakhare}, Ramanujan J. 47, No. 2, 309--316 (2018; Zbl 1400.05027) Full Text: DOI arXiv
Elsholtz, Christian; Luca, Florian; Planitzer, Stefan Romanov type problems. (English) Zbl 1451.11106 Ramanujan J. 47, No. 2, 267-289 (2018). MSC: 11P32 11A07 11A41 11N36 PDFBibTeX XMLCite \textit{C. Elsholtz} et al., Ramanujan J. 47, No. 2, 267--289 (2018; Zbl 1451.11106) Full Text: DOI
Kim, Sungjin The average number of divisors of the Euler function. (English) Zbl 1456.11183 Ramanujan J. 47, No. 1, 155-183 (2018). Reviewer: Florian Luca (Johannesburg) MSC: 11N37 PDFBibTeX XMLCite \textit{S. Kim}, Ramanujan J. 47, No. 1, 155--183 (2018; Zbl 1456.11183) Full Text: DOI arXiv
Dusart, Pierre Estimates of the \(k\)th prime under the Riemann hypothesis. (English) Zbl 1441.11258 Ramanujan J. 47, No. 1, 141-154 (2018). MSC: 11N56 11A25 11N05 PDFBibTeX XMLCite \textit{P. Dusart}, Ramanujan J. 47, No. 1, 141--154 (2018; Zbl 1441.11258) Full Text: DOI
Lin, Yongxiao Triple correlations of Fourier coefficients of cusp forms. (English) Zbl 1401.11132 Ramanujan J. 45, No. 3, 841-858 (2018). MSC: 11N37 11F30 11F72 PDFBibTeX XMLCite \textit{Y. Lin}, Ramanujan J. 45, No. 3, 841--858 (2018; Zbl 1401.11132) Full Text: DOI arXiv
Hamieh, Alia; Tanabe, Naomi Determining Hilbert modular forms by central values of Rankin-Selberg convolutions: the weight aspect. (English) Zbl 1426.11049 Ramanujan J. 45, No. 3, 615-637 (2018). MSC: 11F41 11F67 11F30 11F11 11F12 11N75 PDFBibTeX XMLCite \textit{A. Hamieh} and \textit{N. Tanabe}, Ramanujan J. 45, No. 3, 615--637 (2018; Zbl 1426.11049) Full Text: DOI arXiv
Dusart, Pierre Explicit estimates of some functions over primes. (English) Zbl 1426.11088 Ramanujan J. 45, No. 1, 227-251 (2018). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N05 11A41 11Y35 PDFBibTeX XMLCite \textit{P. Dusart}, Ramanujan J. 45, No. 1, 227--251 (2018; Zbl 1426.11088) Full Text: DOI
Gerard, Jane; Washington, Lawrence C. Sums of powers of primes. (English) Zbl 1428.11160 Ramanujan J. 45, No. 1, 171-180 (2018). Reviewer: Giovanni Coppola (Avellino) MSC: 11N05 PDFBibTeX XMLCite \textit{J. Gerard} and \textit{L. C. Washington}, Ramanujan J. 45, No. 1, 171--180 (2018; Zbl 1428.11160) Full Text: DOI
Tenenbaum, Gérald Effective means for complex multiplicative functions. (Moyennes effectives de fonctions multiplicatives complexes.) (French. English summary) Zbl 1426.11113 Ramanujan J. 44, No. 3, 641-701 (2017); correction ibid. 53, No. 1, 243-244 (2020). MSC: 11N56 11K65 11N37 11N60 11N64 PDFBibTeX XMLCite \textit{G. Tenenbaum}, Ramanujan J. 44, No. 3, 641--701 (2017; Zbl 1426.11113) Full Text: DOI
Cilleruelo, Javier; Guijarro-Ordóñez, Jorge Ratio sets of random sets. (English) Zbl 1421.11077 Ramanujan J. 43, No. 2, 327-345 (2017). MSC: 11N37 11G55 PDFBibTeX XMLCite \textit{J. Cilleruelo} and \textit{J. Guijarro-Ordóñez}, Ramanujan J. 43, No. 2, 327--345 (2017; Zbl 1421.11077) Full Text: DOI arXiv
Dudek, Adrian W. On the sum of a prime and a square-free number. (English) Zbl 1427.11100 Ramanujan J. 42, No. 1, 233-240 (2017). MSC: 11P32 11N05 PDFBibTeX XMLCite \textit{A. W. Dudek}, Ramanujan J. 42, No. 1, 233--240 (2017; Zbl 1427.11100) Full Text: DOI arXiv
Aloui, Karam; Mauduit, Christian; Mkaouar, Mohamed Simultaneous distribution of \(S(n)\) and \(S(n+1)\) in arithmetic progressions. (Répartition simultanée de \(S(n)\) et \(S(n+1)\) dans les progressions arithmétiques.) (French. English summary) Zbl 1412.11010 Ramanujan J. 42, No. 1, 173-197 (2017). MSC: 11A63 11L03 11N60 PDFBibTeX XMLCite \textit{K. Aloui} et al., Ramanujan J. 42, No. 1, 173--197 (2017; Zbl 1412.11010) Full Text: DOI
Sun, Zhi-Wei A new theorem on the prime-counting function. (English) Zbl 1412.11122 Ramanujan J. 42, No. 1, 59-67 (2017). MSC: 11N05 11A41 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Ramanujan J. 42, No. 1, 59--67 (2017; Zbl 1412.11122) Full Text: DOI arXiv
Chakraborty, Kalyan; Kanemitsu, Shigeru; Maji, Bibekananda Modular-type relations associated to the Rankin-Selberg \(L\)-function. (English) Zbl 1422.11175 Ramanujan J. 42, No. 2, 285-299 (2017). MSC: 11M06 11M26 11N37 PDFBibTeX XMLCite \textit{K. Chakraborty} et al., Ramanujan J. 42, No. 2, 285--299 (2017; Zbl 1422.11175) Full Text: DOI
Yang, Shichun; Togbé, Alain On the estimates of the upper and lower bounds of Ramanujan primes. (English) Zbl 1343.11008 Ramanujan J. 40, No. 2, 245-255 (2016). MSC: 11A41 11N05 PDFBibTeX XMLCite \textit{S. Yang} and \textit{A. Togbé}, Ramanujan J. 40, No. 2, 245--255 (2016; Zbl 1343.11008) Full Text: DOI
Pollack, Paul A remark on divisor-weighted sums. (English) Zbl 1403.11064 Ramanujan J. 40, No. 1, 63-69 (2016). MSC: 11N37 11N56 PDFBibTeX XMLCite \textit{P. Pollack}, Ramanujan J. 40, No. 1, 63--69 (2016; Zbl 1403.11064) Full Text: DOI
Bellaïche, Joël; Nicolas, Jean-Louis Parity of the coefficients of modular forms. (Parité des coefficients de formes modulaires.) (French. English summary) Zbl 1403.11038 Ramanujan J. 40, No. 1, 1-44 (2016). MSC: 11F33 11F25 11N37 11P83 PDFBibTeX XMLCite \textit{J. Bellaïche} and \textit{J.-L. Nicolas}, Ramanujan J. 40, No. 1, 1--44 (2016; Zbl 1403.11038) Full Text: DOI
Trudgian, Tim Updating the error term in the prime number theorem. (English) Zbl 1398.11123 Ramanujan J. 39, No. 2, 225-234 (2016). MSC: 11N05 11M06 PDFBibTeX XMLCite \textit{T. Trudgian}, Ramanujan J. 39, No. 2, 225--234 (2016; Zbl 1398.11123) Full Text: DOI arXiv