Lemke Oliver, Robert J.; Shrestha, Sunrose T.; Thorne, Frank Asymptotic identities for additive convolutions of sums of divisors. (English) Zbl 07635094 Math. Proc. Camb. Philos. Soc. 174, No. 1, 59-78 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 32G15 11L05 PDF BibTeX XML Cite \textit{R. J. Lemke Oliver} et al., Math. Proc. Camb. Philos. Soc. 174, No. 1, 59--78 (2023; Zbl 07635094) Full Text: DOI arXiv OpenURL
Ciolan, Alexandru; Languasco, Alessandro; Moree, Pieter Landau and Ramanujan approximations for divisor sums and coefficients of cusp forms. (English) Zbl 07624143 J. Math. Anal. Appl. 519, No. 2, Article ID 126854, 48 p. (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11R42 11F33 PDF BibTeX XML Cite \textit{A. Ciolan} et al., J. Math. Anal. Appl. 519, No. 2, Article ID 126854, 48 p. (2023; Zbl 07624143) Full Text: DOI arXiv OpenURL
Banerjee, Debika; Khyati On Wigert’s type divisor problem. (English) Zbl 07595133 J. Math. Anal. Appl. 517, No. 2, Article ID 126619, 23 p. (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11M06 11L07 PDF BibTeX XML Cite \textit{D. Banerjee} and \textit{Khyati}, J. Math. Anal. Appl. 517, No. 2, Article ID 126619, 23 p. (2023; Zbl 07595133) Full Text: DOI OpenURL
Hamieh, Alia; Ng, Nathan Mean values of long Dirichlet polynomials with higher divisor coefficients. (English) Zbl 07622204 Adv. Math. 410 B, Article ID 108759, 61 p. (2022). Reviewer: Sami Omar (Sukhair) MSC: 11M06 11M26 11M41 11N37 11N75 PDF BibTeX XML Cite \textit{A. Hamieh} and \textit{N. Ng}, Adv. Math. 410 B, Article ID 108759, 61 p. (2022; Zbl 07622204) Full Text: DOI arXiv OpenURL
Park, Yoon Kyung Evaluation of the convolution sums \(\Sigma_{ak+bl+cm=n} \sigma (k) \sigma (l)\sigma(m), \Sigma_{al+bm=n} l\sigma(l)\sigma (m)\) and \(\Sigma_{al+bm=n} \sigma_3(l) \sigma(m)\) for divisors \(a, b, c\) of 10. (English) Zbl 07614162 J. Appl. Math. Inform. 40, No. 5-6, 813-830 (2022). MSC: 11F03 11F11 11F20 11A25 PDF BibTeX XML Cite \textit{Y. K. Park}, J. Appl. Math. Inform. 40, No. 5--6, 813--830 (2022; Zbl 07614162) Full Text: DOI OpenURL
Park, Ho The multinomial convolution sum of a generalized divisor function. (English) Zbl 07602775 Open Math. 20, 419-430 (2022). MSC: 11A25 PDF BibTeX XML Cite \textit{H. Park}, Open Math. 20, 419--430 (2022; Zbl 07602775) Full Text: DOI OpenURL
Zhang, Wei On the divisor function over nonhomogeneous Beatty sequences. (English) Zbl 07587870 Bull. Aust. Math. Soc. 106, No. 2, 280-287 (2022). Reviewer: Jiyou Li (Shanghai) MSC: 11L20 PDF BibTeX XML Cite \textit{W. Zhang}, Bull. Aust. Math. Soc. 106, No. 2, 280--287 (2022; Zbl 07587870) Full Text: DOI OpenURL
Bal, Hartosh Singh; Bhatnagar, Gaurav The partition-frequency enumeration matrix. (English) Zbl 07576454 Ramanujan J. 59, No. 1, 51-86 (2022). Reviewer: Maciej Ulas (Kraków) MSC: 11P81 11P83 11A25 05A17 PDF BibTeX XML Cite \textit{H. S. Bal} and \textit{G. Bhatnagar}, Ramanujan J. 59, No. 1, 51--86 (2022; Zbl 07576454) Full Text: DOI arXiv OpenURL
Zhai, Wenguang On a sum involving small arithmetic functions. (English) Zbl 07566177 Int. J. Number Theory 18, No. 9, 2029-2052 (2022). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11N37 PDF BibTeX XML Cite \textit{W. Zhai}, Int. J. Number Theory 18, No. 9, 2029--2052 (2022; Zbl 07566177) Full Text: DOI OpenURL
Yuan, Xiaodan A Diophantine equation and its positive integer solutions. (English) Zbl 07565006 JP J. Algebra Number Theory Appl. 56, 37-69 (2022). MSC: 11L10 11L40 PDF BibTeX XML Cite \textit{X. Yuan}, JP J. Algebra Number Theory Appl. 56, 37--69 (2022; Zbl 07565006) Full Text: DOI OpenURL
Iksanov, Alexander; Marynych, Alexander; Raschel, Kilian Asymptotics of arithmetic functions of GCD and LCM of random integers in hyperbolic regions. (English) Zbl 07558563 Result. Math. 77, No. 4, Paper No. 165, 22 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A05 60F05 11A25 PDF BibTeX XML Cite \textit{A. Iksanov} et al., Result. Math. 77, No. 4, Paper No. 165, 22 p. (2022; Zbl 07558563) Full Text: DOI arXiv OpenURL
Alzer, Horst; Kwong, Man Kam Inequalities for Taylor series involving the divisor function. (English) Zbl 07547207 Czech. Math. J. 72, No. 2, 331-348 (2022). MSC: 11A25 26D15 33D05 PDF BibTeX XML Cite \textit{H. Alzer} and \textit{M. K. Kwong}, Czech. Math. J. 72, No. 2, 331--348 (2022; Zbl 07547207) Full Text: DOI arXiv OpenURL
Pandey, Mayank Moment estimates for the exponential sum with higher divisor functions. (English) Zbl 07534563 C. R., Math., Acad. Sci. Paris 360, 419-424 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L03 11L07 11L40 11N37 PDF BibTeX XML Cite \textit{M. Pandey}, C. R., Math., Acad. Sci. Paris 360, 419--424 (2022; Zbl 07534563) Full Text: DOI arXiv OpenURL
Ikikardes, Nazli Yildiz; Hwang, Jihyun; Kim, Daeyeoul Arithmetic convolution sums derived from eta quotients related to divisors of 6. (English) Zbl 1493.11009 Open Math. 20, 341-365 (2022). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11A07 11A25 PDF BibTeX XML Cite \textit{N. Y. Ikikardes} et al., Open Math. 20, 341--365 (2022; Zbl 1493.11009) Full Text: DOI OpenURL
Fox, Matthew S.; Karamchedu, Chaitanya On Ramanujan sums of a real variable and a new Ramanujan expansion for the divisor function. (English) Zbl 07510933 Ramanujan J. 58, No. 1, 229-237 (2022). Reviewer: Jürgen Spilker (Freiburg im Breisgau) MSC: 11A25 11L05 11A25 11N56 11A41 11M06 PDF BibTeX XML Cite \textit{M. S. Fox} and \textit{C. Karamchedu}, Ramanujan J. 58, No. 1, 229--237 (2022; Zbl 07510933) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{D. Mastrostefano}, Ramanujan J. 57, No. 2, 623--695 (2022; Zbl 1489.11155) Full Text: DOI arXiv OpenURL
Berndt, Bruce C.; Fassina, Martino; Kim, Sun; Zaharescu, Alexandru Balanced derivatives, identities, and bounds for trigonometric and Bessel series. (English) Zbl 07456614 Adv. Math. 395, Article ID 108085, 40 p. (2022). Reviewer: Giovanni Coppola (Napoli) MSC: 11L03 33C10 11L07 PDF BibTeX XML Cite \textit{B. C. Berndt} et al., Adv. Math. 395, Article ID 108085, 40 p. (2022; Zbl 07456614) Full Text: DOI arXiv OpenURL
Kim, Daeyeoul; Yildiz Ikikardes, Nazli Relations of combinatoric convolution sums for restricted divisor functions and Bernoulli polynomials. (English) Zbl 1499.11017 Miskolc Math. Notes 22, No. 2, 731-748 (2021). MSC: 11A25 33E30 11B68 PDF BibTeX XML Cite \textit{D. Kim} and \textit{N. Yildiz Ikikardes}, Miskolc Math. Notes 22, No. 2, 731--748 (2021; Zbl 1499.11017) Full Text: DOI OpenURL
Yu, Jing-Jun On the representation of integers as sums of a class of triangular numbers. (English) Zbl 1483.11066 Math. Notes 110, No. 5, 679-686 (2021). MSC: 11E25 11F11 11F03 11G05 PDF BibTeX XML Cite \textit{J.-J. Yu}, Math. Notes 110, No. 5, 679--686 (2021; Zbl 1483.11066) Full Text: DOI OpenURL
So, Ji Suk; Hwang, Jihyun; Kim, Daeyeoul A study of cofficients derived from eta functions. (English) Zbl 1499.11013 J. Appl. Math. Inform. 39, No. 3-4, 359-380 (2021). MSC: 11A07 11A25 11F20 PDF BibTeX XML Cite \textit{J. S. So} et al., J. Appl. Math. Inform. 39, No. 3--4, 359--380 (2021; Zbl 1499.11013) Full Text: DOI OpenURL
Assing, Edgar; Blomer, Valentin; Li, Junxian Uniform Titchmarsh divisor problems. (English) Zbl 1484.11194 Adv. Math. 393, Article ID 108076, 51 p. (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11N45 11N13 11F72 11L07 PDF BibTeX XML Cite \textit{E. Assing} et al., Adv. Math. 393, Article ID 108076, 51 p. (2021; Zbl 1484.11194) Full Text: DOI arXiv OpenURL
Ng, Nathan The sixth moment of the Riemann zeta function and ternary additive divisor sums. (English) Zbl 1486.11102 Discrete Anal. 2021, Paper No. 6, 60 p. (2021). Reviewer: Hirotaka Akatsuka (Otaru) MSC: 11M06 PDF BibTeX XML Cite \textit{N. Ng}, Discrete Anal. 2021, Paper No. 6, 60 p. (2021; Zbl 1486.11102) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{K. Lapkova} and \textit{N. H. Zhou}, Ramanujan J. 55, No. 3, 849--872 (2021; Zbl 1478.11117) Full Text: DOI arXiv OpenURL
Yangklan, Pussadee; Laohakosol, Vichian; Mavecha, Sukrawan Integer factorization and finite Fourier series expansion. (English) Zbl 1483.11008 Lith. Math. J. 61, No. 2, 274-284 (2021). MSC: 11A25 11L03 42A16 PDF BibTeX XML Cite \textit{P. Yangklan} et al., Lith. Math. J. 61, No. 2, 274--284 (2021; Zbl 1483.11008) Full Text: DOI OpenURL
Hu, Guangwei; Hu, Weiwei Average behavior of the triple divisor function over values of quadratic form. (English) Zbl 1478.11057 Lith. Math. J. 61, No. 1, 37-55 (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11P55 PDF BibTeX XML Cite \textit{G. Hu} and \textit{W. Hu}, Lith. Math. J. 61, No. 1, 37--55 (2021; Zbl 1478.11057) Full Text: DOI OpenURL
Gazda, Quentin Generalized modular forms with a cuspidal divisor. (English) Zbl 1470.11065 Acta Arith. 197, No. 3, 247-257 (2021). MSC: 11F03 11F20 11F12 PDF BibTeX XML Cite \textit{Q. Gazda}, Acta Arith. 197, No. 3, 247--257 (2021; Zbl 1470.11065) Full Text: DOI arXiv OpenURL
Hu, Guangwei; Lü, Guangshi Sums of higher divisor functions. (English) Zbl 1466.11065 J. Number Theory 220, 61-74 (2021). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11E25 11P55 PDF BibTeX XML Cite \textit{G. Hu} and \textit{G. Lü}, J. Number Theory 220, 61--74 (2021; Zbl 1466.11065) Full Text: DOI OpenURL
Hwang, Jihyun; Li, Yan; Kim, Daeyeoul Arithmetic properties derived from coefficients of certain eta quotients. (English) Zbl 07460879 J. Inequal. Appl. 2020, Paper No. 104, 23 p. (2020). MSC: 11A25 11E25 11F27 11F20 PDF BibTeX XML Cite \textit{J. Hwang} et al., J. Inequal. Appl. 2020, Paper No. 104, 23 p. (2020; Zbl 07460879) Full Text: DOI OpenURL
Chubarikov, V. N. On multiple trigonometric sums related with prime numbers. (English. Russian original) Zbl 1469.11257 Mosc. Univ. Math. Bull. 75, No. 6, 227-238 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 3-13 (2020). MSC: 11L03 33B10 PDF BibTeX XML Cite \textit{V. N. Chubarikov}, Mosc. Univ. Math. Bull. 75, No. 6, 227--238 (2020; Zbl 1469.11257); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 3--13 (2020) Full Text: DOI OpenURL
Park, Ho; Kim, Daeyeoul; So, Ji Suk Some result for binomial convolution sums of restricted divisor functions. (English) Zbl 1474.11013 Appl. Anal. Discrete Math. 14, No. 3, 641-653 (2020). MSC: 11A25 PDF BibTeX XML Cite \textit{H. Park} et al., Appl. Anal. Discrete Math. 14, No. 3, 641--653 (2020; Zbl 1474.11013) Full Text: DOI OpenURL
Chubarikov, Vladimir Nikolaevich On a mean-value theorem for multiple trigonometric sums. (Russian. English summary) Zbl 1454.11145 Chebyshevskiĭ Sb. 21, No. 1(73), 320-335 (2020). MSC: 11L07 11N37 PDF BibTeX XML Cite \textit{V. N. Chubarikov}, Chebyshevskiĭ Sb. 21, No. 1(73), 320--335 (2020; Zbl 1454.11145) Full Text: MNR OpenURL
Tang, Hengcai A note on Titchmarsh divisor problem under the generalized Riemann hypothesis. (English) Zbl 1457.11134 Rocky Mt. J. Math. 50, No. 6, 2223-2233 (2020). MSC: 11N37 11F30 11L20 11M06 PDF BibTeX XML Cite \textit{H. Tang}, Rocky Mt. J. Math. 50, No. 6, 2223--2233 (2020; Zbl 1457.11134) Full Text: DOI Euclid OpenURL
Troupe, Lee Divisor sums representable as the sum of two squares. (English) Zbl 1476.11128 Proc. Am. Math. Soc. 148, No. 10, 4189-4202 (2020). MSC: 11N37 11A25 PDF BibTeX XML Cite \textit{L. Troupe}, Proc. Am. Math. Soc. 148, No. 10, 4189--4202 (2020; Zbl 1476.11128) Full Text: DOI arXiv OpenURL
Hu, Qiuxia On four new mock theta functions. (English) Zbl 1457.11049 Bull. Korean Math. Soc. 57, No. 2, 345-354 (2020). MSC: 11F37 11B65 11F27 33D15 PDF BibTeX XML Cite \textit{Q. Hu}, Bull. Korean Math. Soc. 57, No. 2, 345--354 (2020; Zbl 1457.11049) Full Text: DOI OpenURL
Gao, Peng Mean values of divisors twisted by quadratic characters. (English) Zbl 1472.11253 Acta Arith. 195, No. 1, 69-82 (2020). Reviewer: Marco Aymone (Belo Horizonte) MSC: 11N37 11L40 PDF BibTeX XML Cite \textit{P. Gao}, Acta Arith. 195, No. 1, 69--82 (2020; Zbl 1472.11253) Full Text: DOI arXiv OpenURL
Kiuchi, Isao; Eddin, Sumaia Saad Sums of logarithmic averages of gcd-sum functions. (English) Zbl 1472.11256 Result. Math. 75, No. 2, Paper No. 53, 22 p. (2020). MSC: 11N37 11A25 11Y60 PDF BibTeX XML Cite \textit{I. Kiuchi} and \textit{S. S. Eddin}, Result. Math. 75, No. 2, Paper No. 53, 22 p. (2020; Zbl 1472.11256) Full Text: DOI arXiv OpenURL
Zhai, Wenguang On a sum involving the Euler function. (English) Zbl 1437.11119 J. Number Theory 211, 199-219 (2020); corrigendum ibid. 222, 423-425 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L05 11N37 PDF BibTeX XML Cite \textit{W. Zhai}, J. Number Theory 211, 199--219 (2020; Zbl 1437.11119) Full Text: DOI OpenURL
Cho, Bumkyu Convolution sums of a divisor function for prime levels. (English) Zbl 1445.11026 Int. J. Number Theory 16, No. 3, 537-546 (2020). Reviewer: Emmanuel Royer (Aubière) MSC: 11F11 11F25 11F20 11F03 11A25 PDF BibTeX XML Cite \textit{B. Cho}, Int. J. Number Theory 16, No. 3, 537--546 (2020; Zbl 1445.11026) Full Text: DOI OpenURL
Korolev, Maxim; Shparlinski, Igor Sums of algebraic trace functions twisted by arithmetic functions. (English) Zbl 1469.11267 Pac. J. Math. 304, No. 2, 505-522 (2020). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11N25 11T23 PDF BibTeX XML Cite \textit{M. Korolev} and \textit{I. Shparlinski}, Pac. J. Math. 304, No. 2, 505--522 (2020; Zbl 1469.11267) Full Text: DOI arXiv OpenURL
Li, Junxian A binary quadratic Titchmarsh divisor problem. (English) Zbl 1475.11174 Acta Arith. 192, No. 4, 341-361 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N36 11L07 11L20 PDF BibTeX XML Cite \textit{J. Li}, Acta Arith. 192, No. 4, 341--361 (2020; Zbl 1475.11174) Full Text: DOI arXiv OpenURL
Zhang, Min; Li, Jinjiang On the sum of divisors of mixed powers in short intervals. (English) Zbl 1452.11118 Ramanujan J. 51, No. 2, 333-352 (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 11E20 11L03 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Li}, Ramanujan J. 51, No. 2, 333--352 (2020; Zbl 1452.11118) Full Text: DOI OpenURL
Kerr, Bryce; Shparlinski, Igor E. Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions. (English) Zbl 1471.11251 Res. Number Theory 6, No. 1, Paper No. 16, 21 p. (2020). MSC: 11N37 11L07 PDF BibTeX XML Cite \textit{B. Kerr} and \textit{I. E. Shparlinski}, Res. Number Theory 6, No. 1, Paper No. 16, 21 p. (2020; Zbl 1471.11251) Full Text: DOI arXiv OpenURL
Frei, Christopher; Sofos, Efthymios Generalised divisor sums of binary forms over number fields. (English) Zbl 1486.11118 J. Inst. Math. Jussieu 19, No. 1, 137-173 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11N37 11N56 11N64 PDF BibTeX XML Cite \textit{C. Frei} and \textit{E. Sofos}, J. Inst. Math. Jussieu 19, No. 1, 137--173 (2020; Zbl 1486.11118) Full Text: DOI arXiv OpenURL
Liu, Huafeng A divisor problem attached to regular quadratic forms. (English) Zbl 1447.11105 Lith. Math. J. 59, No. 2, 169-184 (2019). MSC: 11P32 11P55 11T23 PDF BibTeX XML Cite \textit{H. Liu}, Lith. Math. J. 59, No. 2, 169--184 (2019; Zbl 1447.11105) Full Text: DOI OpenURL
Ramakrishnan, B.; Sahu, Brundaban; Singh, Anup Kumar On the number of representations of certain quadratic forms in 8 variables. (English) Zbl 1457.11027 Anni, Samuele (ed.) et al., Automorphic forms and related topics. Building bridges: 3rd EU/US summer school and workshop on automorphic forms and related topics, Sarajevo, Bosnia and Herzegovina, July 11–22, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 732, 215-224 (2019). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F11 11F99 11F20 11F30 PDF BibTeX XML Cite \textit{B. Ramakrishnan} et al., Contemp. Math. 732, 215--224 (2019; Zbl 1457.11027) Full Text: DOI Link OpenURL
Li, Yan; Hu, Xiaoyu; Kim, Daeyeoul A Menon-type identity with multiplicative and additive characters. (English) Zbl 1418.11011 Taiwanese J. Math. 23, No. 3, 545-555 (2019). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11A07 11L99 PDF BibTeX XML Cite \textit{Y. Li} et al., Taiwanese J. Math. 23, No. 3, 545--555 (2019; Zbl 1418.11011) Full Text: DOI Euclid OpenURL
Ng, Nathan; Thom, Mark Bounds and conjectures for additive divisor sums. (English) Zbl 1443.11186 Funct. Approximatio, Comment. Math. 60, No. 1, 97-142 (2019). MSC: 11M41 11N37 11N56 11S40 PDF BibTeX XML Cite \textit{N. Ng} and \textit{M. Thom}, Funct. Approximatio, Comment. Math. 60, No. 1, 97--142 (2019; Zbl 1443.11186) Full Text: DOI arXiv Euclid OpenURL
Bettin, Sandro Linear correlations of the divisor function. (English) Zbl 1441.11229 Acta Arith. 188, No. 1, 1-52 (2019). MSC: 11M41 11N37 11D72 PDF BibTeX XML Cite \textit{S. Bettin}, Acta Arith. 188, No. 1, 1--52 (2019; Zbl 1441.11229) Full Text: DOI arXiv OpenURL
Goldston, D. A.; Pandey, M. On the \(L^1\) norm of an exponential sum involving the divisor function. (English) Zbl 1454.11148 Arch. Math. 112, No. 3, 261-268 (2019). MSC: 11L07 PDF BibTeX XML Cite \textit{D. A. Goldston} and \textit{M. Pandey}, Arch. Math. 112, No. 3, 261--268 (2019; Zbl 1454.11148) Full Text: DOI arXiv OpenURL
Ramakrishnan, B.; Sahu, Brundaban; Singh, Anup Kumar Representations of an integer by some quaternary and octonary quadratic forms. (English) Zbl 1475.11059 Akbary, Amir (ed.) et al., Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. Cham: Springer. Springer Proc. Math. Stat. 251, 383-409 (2018). MSC: 11E25 11F11 11E20 PDF BibTeX XML Cite \textit{B. Ramakrishnan} et al., Springer Proc. Math. Stat. 251, 383--409 (2018; Zbl 1475.11059) Full Text: DOI arXiv OpenURL
Korolëv, Maksim Aleksandrovich The estimate of weighted Kloosterman sums by additive shift. (Russian. English summary) Zbl 1440.11154 Chebyshevskiĭ Sb. 19, No. 3(67), 183-201 (2018). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 PDF BibTeX XML Cite \textit{M. A. Korolëv}, Chebyshevskiĭ Sb. 19, No. 3(67), 183--201 (2018; Zbl 1440.11154) Full Text: DOI MNR OpenURL
Wakhare, Tanay Sums involving the number of distinct prime factors function. (English) Zbl 1422.11201 Undergrad. Math J. 19, No. 1, Paper No. 8, 13 p. (2018). MSC: 11N37 11A25 11A41 11M06 PDF BibTeX XML Cite \textit{T. Wakhare}, Undergrad. Math J. 19, No. 1, Paper No. 8, 13 p. (2018; Zbl 1422.11201) Full Text: arXiv Link OpenURL
Leung, Ho-Hon On a generalization of the pentagonal number theorem. (English) Zbl 1430.05008 Kyungpook Math. J. 58, No. 4, 599-613 (2018). Reviewer: Thomas Britz (Sydney) MSC: 05A17 05A15 05A19 11A25 11B65 11E25 11P83 PDF BibTeX XML Cite \textit{H.-H. Leung}, Kyungpook Math. J. 58, No. 4, 599--613 (2018; Zbl 1430.05008) Full Text: DOI arXiv OpenURL
Garvan, F. G. Weighted partition identities and divisor sums. (English) Zbl 1456.11199 Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and \(q\)-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 239-249 (2018). Reviewer: Mihály Szalay (Budapest) MSC: 11P82 05A17 11P84 33D15 PDF BibTeX XML Cite \textit{F. G. Garvan}, Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 239--249 (2018; Zbl 1456.11199) Full Text: DOI Link OpenURL
Kim, Daeyeoul; Kim, So Eun; So, Ji Suk A study of sum of divisor functions and Stirling number of the first kind derived from Liouville functions. (English) Zbl 1442.11012 J. Appl. Math. Inform. 36, No. 5-6, 435-446 (2018). MSC: 11A25 11Y70 11B73 33E30 PDF BibTeX XML Cite \textit{D. Kim} et al., J. Appl. Math. Inform. 36, No. 5--6, 435--446 (2018; Zbl 1442.11012) Full Text: DOI OpenURL
Blomer, Valentin Higher order divisor problems. (English) Zbl 1414.11116 Math. Z. 290, No. 3-4, 937-952 (2018). Reviewer: László Tóth (Pécs) MSC: 11N37 11E76 PDF BibTeX XML Cite \textit{V. Blomer}, Math. Z. 290, No. 3--4, 937--952 (2018; Zbl 1414.11116) Full Text: DOI arXiv OpenURL
Sander, J. W. Structural properties and formulae of the spectra of integral circulant graphs. (English) Zbl 1409.05132 Acta Arith. 184, No. 3, 297-315 (2018). Reviewer: Ayesha Shabbir (Ahsaa-Hofouf) MSC: 05C50 05C25 11L03 PDF BibTeX XML Cite \textit{J. W. Sander}, Acta Arith. 184, No. 3, 297--315 (2018; Zbl 1409.05132) Full Text: DOI OpenURL
Park, Yoon Kyung Evaluation of the convolution sums \(\displaystyle\sum_{ak + bl + cm = n} \sigma(k) \sigma(l) \sigma(m)\) with \(\mathrm{lcm}(a, b, c) = 7, 8\) or \(9\). (English) Zbl 1428.11018 Int. J. Number Theory 14, No. 6, 1637-1650 (2018). MSC: 11A25 11F11 11F20 PDF BibTeX XML Cite \textit{Y. K. Park}, Int. J. Number Theory 14, No. 6, 1637--1650 (2018; Zbl 1428.11018) Full Text: DOI OpenURL
Sander, J. W. On the kernel of integral circulant graphs. (English) Zbl 1390.05137 Linear Algebra Appl. 549, 79-85 (2018). MSC: 05C50 11L03 PDF BibTeX XML Cite \textit{J. W. Sander}, Linear Algebra Appl. 549, 79--85 (2018; Zbl 1390.05137) Full Text: DOI OpenURL
Rodgers, Brad; Soundararajan, Kannan The variance of divisor sums in arithmetic progressions. (English) Zbl 1445.11008 Forum Math. 30, No. 2, 269-293 (2018). MSC: 11B25 11K65 11M50 11N37 PDF BibTeX XML Cite \textit{B. Rodgers} and \textit{K. Soundararajan}, Forum Math. 30, No. 2, 269--293 (2018; Zbl 1445.11008) Full Text: DOI arXiv OpenURL
Bordellès, Olivier Short interval results for certain arithmetic functions. (English) Zbl 1420.11121 Int. J. Number Theory 14, No. 2, 535-548 (2018). MSC: 11N37 11A25 11L07 PDF BibTeX XML Cite \textit{O. Bordellès}, Int. J. Number Theory 14, No. 2, 535--548 (2018; Zbl 1420.11121) Full Text: DOI arXiv OpenURL
Cho, Bumkyu; Park, Ho Evaluating binomial convolution sums of divisor functions in terms of Euler and Bernoulli polynomials. (English) Zbl 1420.11011 Int. J. Number Theory 14, No. 2, 509-525 (2018). MSC: 11A25 11B68 PDF BibTeX XML Cite \textit{B. Cho} and \textit{H. Park}, Int. J. Number Theory 14, No. 2, 509--525 (2018; Zbl 1420.11011) Full Text: DOI OpenURL
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping Divisor problem in arithmetic progressions modulo a prime power. (English) Zbl 1436.11103 Adv. Math. 325, 459-481 (2018). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11N25 11N37 11T23 PDF BibTeX XML Cite \textit{K. Liu} et al., Adv. Math. 325, 459--481 (2018; Zbl 1436.11103) Full Text: DOI arXiv OpenURL
Xi, Ping A quadratic analogue of Titchmarsh divisor problem. (English) Zbl 1420.11125 J. Number Theory 184, 192-205 (2018). MSC: 11N37 11N13 11L07 PDF BibTeX XML Cite \textit{P. Xi}, J. Number Theory 184, 192--205 (2018; Zbl 1420.11125) Full Text: DOI OpenURL
Coppola, Giovanni; Laporta, Maurizio A note on the exponential sums of the localized divisor functions. (English) Zbl 1439.11196 Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the sixth international conference, Palanga, Lithuania, September 11–17, 2016. Vilnius: Vilnius University Publishing House. 25-28 (2017). MSC: 11L07 11N37 PDF BibTeX XML Cite \textit{G. Coppola} and \textit{M. Laporta}, in: Analytic and probabilistic methods in number theory. Proceedings of the sixth international conference, Palanga, Lithuania, September 11--17, 2016. Vilnius: Vilnius University Publishing House. 25--28 (2017; Zbl 1439.11196) Full Text: arXiv OpenURL
Yuan, Xiaodan; Luo, Jiagui On the Diophantine equation \(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{3p}\). (English) Zbl 1425.11061 AIMS Math. 2, No. 1, 111-127 (2017). MSC: 11D68 PDF BibTeX XML Cite \textit{X. Yuan} and \textit{J. Luo}, AIMS Math. 2, No. 1, 111--127 (2017; Zbl 1425.11061) Full Text: DOI OpenURL
Voskresenskaya, G. V. Mackay functions and exact cutting in spaces of modular forms. (Russian. English summary) Zbl 1422.11081 Vestn. Samar. Univ., Estestvennonauchn. Ser. 23, No. 2, 15-25 (2017). MSC: 11F03 11F20 PDF BibTeX XML Cite \textit{G. V. Voskresenskaya}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 23, No. 2, 15--25 (2017; Zbl 1422.11081) Full Text: MNR OpenURL
Rodríguez Caballero, José Manuel Divisors on overlapped intervals and multiplicative functions. (English) Zbl 1387.11005 J. Integer Seq. 20, No. 9, Article 17.9.7, 10 p. (2017). MSC: 11A25 11A07 11A05 11E25 PDF BibTeX XML Cite \textit{J. M. Rodríguez Caballero}, J. Integer Seq. 20, No. 9, Article 17.9.7, 10 p. (2017; Zbl 1387.11005) Full Text: arXiv Link OpenURL
Kim, Aeran The convolution sums \({\sum}_{m < \frac{n}{8}} {\sigma}_1 (m) {\sigma}_3 (n - 8m)\) and \({\sum}_{m < \frac{n}{8}} {\sigma}_3 (m) {\sigma}_1 (n - 8m)\). (English) Zbl 1386.11009 Adv. Stud. Contemp. Math., Kyungshang 27, No. 4, 461-476 (2017). MSC: 11A25 PDF BibTeX XML Cite \textit{A. Kim}, Adv. Stud. Contemp. Math., Kyungshang 27, No. 4, 461--476 (2017; Zbl 1386.11009) Full Text: DOI OpenURL
Radova, Antonina; Varbanets, Sergey On exponential sums involving the divisor function over \(\mathbb Z[i]\). (English) Zbl 1399.11152 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 235-246 (2017). MSC: 11L07 11N37 PDF BibTeX XML Cite \textit{A. Radova} and \textit{S. Varbanets}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 235--246 (2017; Zbl 1399.11152) OpenURL
Guo, Ruting; Wang, Mingqiang Some constants in a summation formula. (Chinese. English summary) Zbl 1389.11012 J. Shandong Univ., Nat. Sci. 52, No. 4, 68-71, 82 (2017). MSC: 11A41 11L20 PDF BibTeX XML Cite \textit{R. Guo} and \textit{M. Wang}, J. Shandong Univ., Nat. Sci. 52, No. 4, 68--71, 82 (2017; Zbl 1389.11012) Full Text: DOI OpenURL
Park, Yoon Kyung Evaluation of the convolution sums \(\Sigma_{al+bm=n}\,l \sigma(l)\sigma(m)\) with \(ab\leq 9\). (English) Zbl 1430.11007 Open Math. 15, 1389-1399 (2017). MSC: 11A25 11F11 11F20 PDF BibTeX XML Cite \textit{Y. K. Park}, Open Math. 15, 1389--1399 (2017; Zbl 1430.11007) Full Text: DOI OpenURL
Topacogullari, Berke On a certain additive divisor problem. (English) Zbl 1433.11111 Acta Arith. 181, No. 2, 143-172 (2017). Reviewer: Giovanni Coppola (Avellino) MSC: 11N37 11N75 PDF BibTeX XML Cite \textit{B. Topacogullari}, Acta Arith. 181, No. 2, 143--172 (2017; Zbl 1433.11111) Full Text: DOI arXiv OpenURL
Conrey, Brian; Keating, Jonathan P. Averages of ratios of the Riemann zeta-function and correlations of divisor sums. (English) Zbl 1427.11085 Nonlinearity 30, No. 10, R67-R80 (2017). MSC: 11M50 11M26 11N37 PDF BibTeX XML Cite \textit{B. Conrey} and \textit{J. P. Keating}, Nonlinearity 30, No. 10, R67--R80 (2017; Zbl 1427.11085) Full Text: DOI arXiv OpenURL
Wang, Nian Liang; Banerjee, Soumyarup On the product of Hurwitz zeta-functions. (English) Zbl 1431.11007 Proc. Japan Acad., Ser. A 93, No. 5, 31-36 (2017). MSC: 11A07 11M32 PDF BibTeX XML Cite \textit{N. L. Wang} and \textit{S. Banerjee}, Proc. Japan Acad., Ser. A 93, No. 5, 31--36 (2017; Zbl 1431.11007) Full Text: DOI Euclid OpenURL
Drappeau, Sary Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method. (English) Zbl 1392.11059 Proc. Lond. Math. Soc. (3) 114, No. 4, 684-732 (2017). Reviewer: Huaning Liu (Shaanxi) MSC: 11L07 11F30 11N75 11N13 PDF BibTeX XML Cite \textit{S. Drappeau}, Proc. Lond. Math. Soc. (3) 114, No. 4, 684--732 (2017; Zbl 1392.11059) Full Text: DOI arXiv OpenURL
Lee, Joohee; Park, Yoon Kyung Evaluation of the convolution sums \(\displaystyle\sum_{a_1m_1+a_2m_2+a_3m_3+a_4m_4=n}\sigma(m_1)\sigma(m_2)\sigma(m_3)\sigma(m_4)\) with \(\text{lcm}(a_1,a_2,a_3,a_4)\le 4\). (English) Zbl 1411.11007 Int. J. Number Theory 13, No. 8, 2155-2173 (2017). MSC: 11A25 11F11 11E25 11F20 PDF BibTeX XML Cite \textit{J. Lee} and \textit{Y. K. Park}, Int. J. Number Theory 13, No. 8, 2155--2173 (2017; Zbl 1411.11007) Full Text: DOI OpenURL
Williams, Kenneth S. Some arithmetic convolution identities. (English) Zbl 1422.11007 Ramanujan J. 43, No. 1, 197-213 (2017). MSC: 11A25 11E25 PDF BibTeX XML Cite \textit{K. S. Williams}, Ramanujan J. 43, No. 1, 197--213 (2017; Zbl 1422.11007) Full Text: DOI OpenURL
Bondarenko, Andriy; Seip, Kristian Large greatest common divisor sums and extreme values of the Riemann zeta function. (English) Zbl 1394.11063 Duke Math. J. 166, No. 9, 1685-1701 (2017). Reviewer: Emilio Elizalde (Bellaterra) MSC: 11M06 11C20 PDF BibTeX XML Cite \textit{A. Bondarenko} and \textit{K. Seip}, Duke Math. J. 166, No. 9, 1685--1701 (2017; Zbl 1394.11063) Full Text: DOI arXiv OpenURL
Aryan, Farzad On the quadratic divisor problem. (English) Zbl 1428.11167 Int. J. Number Theory 13, No. 6, 1457-1471 (2017). MSC: 11N37 11N75 PDF BibTeX XML Cite \textit{F. Aryan}, Int. J. Number Theory 13, No. 6, 1457--1471 (2017; Zbl 1428.11167) Full Text: DOI OpenURL
Kim, Sun Identities for trigonometric divisor sums. (English) Zbl 1379.11072 Int. J. Number Theory 13, No. 4, 957-975 (2017). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L03 33C10 PDF BibTeX XML Cite \textit{S. Kim}, Int. J. Number Theory 13, No. 4, 957--975 (2017; Zbl 1379.11072) Full Text: DOI OpenURL
Kiuchi, Isao Sums of averages of gcd-sum functions. (English) Zbl 1422.11198 J. Number Theory 176, 449-472 (2017). MSC: 11N37 11A25 11P99 PDF BibTeX XML Cite \textit{I. Kiuchi}, J. Number Theory 176, 449--472 (2017; Zbl 1422.11198) Full Text: DOI OpenURL
Ramakrishhan, B.; Sahu, Brundaban Evaluation of convolution sums and some remarks on cusp forms of weight 4 and level 12. (English) Zbl 1417.11035 Math. J. Okayama Univ. 59, 71-79 (2017). MSC: 11F11 11A25 11E20 11E25 PDF BibTeX XML Cite \textit{B. Ramakrishhan} and \textit{B. Sahu}, Math. J. Okayama Univ. 59, 71--79 (2017; Zbl 1417.11035) Full Text: Link OpenURL
Robles, Nicolas; Roy, Arindam Moments of averages of generalized Ramanujan sums. (English) Zbl 1367.11071 Monatsh. Math. 182, No. 2, 433-461 (2017). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 11N37 11L03 11N56 11N64 PDF BibTeX XML Cite \textit{N. Robles} and \textit{A. Roy}, Monatsh. Math. 182, No. 2, 433--461 (2017; Zbl 1367.11071) Full Text: DOI arXiv OpenURL
Cho, Bumkyu; Kim, Daeyeoul; Park, Ho The multinomial convolution sums of certain divisor functions. (English) Zbl 1367.11011 J. Math. Anal. Appl. 448, No. 2, 1163-1174 (2017). MSC: 11A25 11B75 PDF BibTeX XML Cite \textit{B. Cho} et al., J. Math. Anal. Appl. 448, No. 2, 1163--1174 (2017; Zbl 1367.11011) Full Text: DOI OpenURL
Ramakrishnan, B.; Sahu, Brundaban Identities for the Ramanujan tau function and certain convolution sum identities for the divisor functions. (English) Zbl 1418.11072 Murty, Vijaya Kumar (ed.) et al., Highly composite: papers in number theory. On the occasion of R. Balsubramanian’s 60th birth anniversary. Including papers from the international meeting on number theory, Harish-Chandra Research Institute, Allahabad, India, December 15–20, 2011. Mysore: Ramanujan Mathematical Society. Ramanujan Math. Soc. Lect. Notes Ser. 23, 63-75 (2016). MSC: 11F25 11F11 11A25 PDF BibTeX XML Cite \textit{B. Ramakrishnan} and \textit{B. Sahu}, Ramanujan Math. Soc. Lect. Notes Ser. 23, 63--75 (2016; Zbl 1418.11072) OpenURL
Voskresenskaya, G. V. Cusp forms with characters of the level \(\mathrm{p}^4\). (Russian. English summary) Zbl 1402.11059 Vestn. Samar. Univ., Estestvennonauchn. Ser. 2016, No. 1-2, 18-26 (2016). MSC: 11F03 11F20 PDF BibTeX XML Cite \textit{G. V. Voskresenskaya}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 2016, No. 1--2, 18--26 (2016; Zbl 1402.11059) Full Text: MNR OpenURL
Ramakrishnan, B.; Sahu, Brundaban On the number of representations of certain quadratic forms in 20 and 24 variables. (English) Zbl 1407.11011 Funct. Approximatio, Comment. Math. 54, No. 2, 151-161 (2016). MSC: 11A25 11E25 11E20 11F11 PDF BibTeX XML Cite \textit{B. Ramakrishnan} and \textit{B. Sahu}, Funct. Approximatio, Comment. Math. 54, No. 2, 151--161 (2016; Zbl 1407.11011) Full Text: DOI Euclid OpenURL
Topacogullari, Berke The shifted convolution of generalized divisor functions. (English) Zbl 1378.11004 Göttingen: Univ. Göttingen, Fakultät für Mathematik und Informatik (Diss.). i, 70 p. (2016). MSC: 11-02 11N37 11N56 11L05 PDF BibTeX XML Cite \textit{B. Topacogullari}, The shifted convolution of generalized divisor functions. Göttingen: Univ. Göttingen, Fakultät für Mathematik und Informatik (Diss.) (2016; Zbl 1378.11004) Full Text: Link Link OpenURL
Kim, Daeyeoul; Lee, Kwangchul; Seo, Gyeong-Sig A study of approximate normal distribution derived from combinatoric convolution sums of divisor functions. (English) Zbl 1459.11062 Filomat 30, No. 7, 1811-1821 (2016). MSC: 11B68 11A25 PDF BibTeX XML Cite \textit{D. Kim} et al., Filomat 30, No. 7, 1811--1821 (2016; Zbl 1459.11062) Full Text: DOI OpenURL
Shubin, A. V. Fractional parts of the function \(x/n\). (English. Russian original) Zbl 1422.11200 Math. Notes 100, No. 5, 731-742 (2016); translation from Mat. Zametki 100, No. 5, 744-756 (2016). MSC: 11N37 11L99 41A60 PDF BibTeX XML Cite \textit{A. V. Shubin}, Math. Notes 100, No. 5, 731--742 (2016; Zbl 1422.11200); translation from Mat. Zametki 100, No. 5, 744--756 (2016) Full Text: DOI OpenURL
Conrey, Brian; Keating, Jonathan P. Moments of zeta and correlations of divisor-sums. IV. (English) Zbl 1411.11074 Res. Number Theory 2, Paper No. 24, 24 p. (2016). MSC: 11M06 11M26 PDF BibTeX XML Cite \textit{B. Conrey} and \textit{J. P. Keating}, Res. Number Theory 2, Paper No. 24, 24 p. (2016; Zbl 1411.11074) Full Text: DOI arXiv OpenURL
Kim, Aeran The relation property between the divisor function and infinite product sums. (English) Zbl 1419.11064 Honam Math. J. 38, No. 3, 507-552 (2016). MSC: 11E25 30B10 PDF BibTeX XML Cite \textit{A. Kim}, Honam Math. J. 38, No. 3, 507--552 (2016; Zbl 1419.11064) Full Text: DOI OpenURL
Zhang, Meng An asymptotic formula related to the sums of divisors. (English) Zbl 1355.11098 Acta Arith. 175, No. 2, 183-200 (2016). Reviewer: Eira J. Scourfield (Egham) MSC: 11N37 11P55 11L03 PDF BibTeX XML Cite \textit{M. Zhang}, Acta Arith. 175, No. 2, 183--200 (2016; Zbl 1355.11098) Full Text: DOI OpenURL
Liu, H. Q. The Dirichlet divisor problem of arithmetic progressions. (English) Zbl 1402.11120 Can. Math. Bull. 59, No. 3, 592-598 (2016). MSC: 11N37 11B25 11L07 PDF BibTeX XML Cite \textit{H. Q. Liu}, Can. Math. Bull. 59, No. 3, 592--598 (2016; Zbl 1402.11120) Full Text: DOI OpenURL
Lester, Stephen On the variance of sums of divisor functions in short intervals. (English) Zbl 1352.11091 Proc. Am. Math. Soc. 144, No. 12, 5015-5027 (2016). Reviewer: Giovanni Coppola (Avellino) MSC: 11N37 11M06 PDF BibTeX XML Cite \textit{S. Lester}, Proc. Am. Math. Soc. 144, No. 12, 5015--5027 (2016; Zbl 1352.11091) Full Text: DOI arXiv OpenURL
Bachmann, Henrik; Kühn, Ulf The algebra of generating functions for multiple divisor sums and applications to multiple zeta values. (English) Zbl 1412.11101 Ramanujan J. 40, No. 3, 605-648 (2016). MSC: 11M32 11F11 13J05 33E20 05A30 PDF BibTeX XML Cite \textit{H. Bachmann} and \textit{U. Kühn}, Ramanujan J. 40, No. 3, 605--648 (2016; Zbl 1412.11101) Full Text: DOI arXiv OpenURL
Hu, Liqun; Liu, Huafeng Sum of divisors of a quaternary quadratic form with almost equal variables. (English) Zbl 1415.11131 Ramanujan J. 40, No. 3, 557-571 (2016). MSC: 11P55 11E20 11L03 PDF BibTeX XML Cite \textit{L. Hu} and \textit{H. Liu}, Ramanujan J. 40, No. 3, 557--571 (2016; Zbl 1415.11131) Full Text: DOI OpenURL
Lee, Kwangchul; Kim, Daeyeoul; Seo, Gyeong-Sig A product formula for combinatoric convolution sums of odd divisor functions. (English) Zbl 1402.11009 Honam Math. J. 38, No. 2, 243-257 (2016). MSC: 11A25 11B68 PDF BibTeX XML Cite \textit{K. Lee} et al., Honam Math. J. 38, No. 2, 243--257 (2016; Zbl 1402.11009) Full Text: DOI OpenURL
Alaca, Şaban; Doyle, Greg Liouville identities with two functions. (English) Zbl 1347.41039 Int. J. Number Theory 12, No. 5, 1345-1363 (2016). Reviewer: Cristinel Mortici (Târgovişte) MSC: 41A58 30B10 11K65 11A25 PDF BibTeX XML Cite \textit{Ş. Alaca} and \textit{G. Doyle}, Int. J. Number Theory 12, No. 5, 1345--1363 (2016; Zbl 1347.41039) Full Text: DOI OpenURL