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
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). MSC: 11N37 11M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hoque, Azizul A remark on a Diophantine equation of S. S. Pillai. (English) Zbl 07953684 Czech. Math. J. 74, No. 3, 897-903 (2024). MSC: 11D61 11D72 × Cite Format Result Cite Review PDF Full Text: DOI
Chakraborty, Kalyan; Hoque, Azizul On the exponential Diophantine equation \(x^2+p^m q^n=2y^p\). (English) Zbl 07905784 N. Z. J. Math. 55, 53-60 (2024). MSC: 11D61 11D41 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Wei On mean values for the exponential sum of divisor functions. (English) Zbl 07902835 Int. J. Number Theory 20, No. 7, 1895-1899 (2024). Reviewer: Ghaith A. Hiary (Columbus) MSC: 11N37 11L07 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Haukkanen, Pentti Incidence functions of the exponential divisor poset. (English) Zbl 07880192 Math. Pannonica (N.S.) 30, No. 1, 105-109 (2024). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11A51 06A99 × Cite Format Result Cite Review PDF Full Text: DOI
Hoque, Azizul On a class of Lebesgue-Ramanujan-Nagell equations. (English) Zbl 07880178 Period. Math. Hung. 88, No. 2, 418-428 (2024). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D61 11D41 11B39 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Muthuvel, S.; Venkatraman, R. An exponential diophantine equation \(x^2+3^a97^b=y^n\). (English) Zbl 1549.11089 Int. J. Math. Comput. Sci. 19, No. 4, 1125-1128 (2024). MSC: 11D61 11Y50 × Cite Format Result Cite Review PDF Full Text: Link
Bellotti, Chiara; Yang, Andrew On the generalised Dirichlet divisor problem. (English) Zbl 1546.11144 Bull. Lond. Math. Soc. 56, No. 5, 1859-1878 (2024). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N56 11N37 11M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berndt, Bruce C.; Robles, Nicolas; Zaharescu, Alexandru; Zeindler, Dirk Partitions with multiplicities associated with divisor functions. (English) Zbl 07791618 J. Math. Anal. Appl. 533, No. 1, Article ID 127987, 32 p. (2024). Reviewer: Mircea Merca (București) MSC: 11P82 11P55 11M06 11L20 × Cite Format Result Cite Review PDF Full Text: DOI
Cranston, Michael; Mountford, Thomas A new proof of the Erdős-Kac central limit theorem. (English) Zbl 1541.11079 Trans. Am. Math. Soc. 377, No. 2, 1475-1503 (2024). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 11N64 11K65 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wei On a variant of the prime number theorem. (English) Zbl 1537.11126 J. Number Theory 257, 163-185 (2024). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11L07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alan, Murat; Aydin, Mustafa On the diophantine equation \(x^2+2^a3^b73^c=y^n\). (English) Zbl 07790556 Arch. Math. (Brno) 59, No. 5, 411-420 (2023). MSC: 11D61 11D59 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI
Pratt, Kyle The irrationality of a divisor function series of Erdős and Kac. (English) Zbl 1536.11114 Acta Arith. 211, No. 3, 193-228 (2023). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rella, Claudia Resurgence, Stokes constants, and arithmetic functions in topological string theory. (English) Zbl 1538.81048 Commun. Number Theory Phys. 17, No. 3, 709-820 (2023). MSC: 81T30 81Q10 11M06 14J32 30E15 32Q25 58K65 11A25 30B50 40G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kerr, Bryce; Shparlinski, Igor E.; Wu, Xiaosheng; Xi, Ping Bounds on bilinear forms with Kloosterman sums. (English) Zbl 1532.11113 J. Lond. Math. Soc., II. Ser. 108, No. 2, 578-621 (2023). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L07 11B30 11D79 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Hui; Zhang, Yu On the divisor function over Piatetski-Shapiro sequences. (English) Zbl 07729527 Czech. Math. J. 73, No. 2, 613-620 (2023). MSC: 11B83 11L07 11N25 11N37 × Cite Format Result Cite Review PDF Full Text: DOI
Lou, Miao Triple correlations of ternary divisor functions. II. (English) Zbl 1528.11098 Int. J. Number Theory 19, No. 7, 1525-1551 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11P55 11T23 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wei On fractional sums of the divisor functions. (English) Zbl 1531.11091 Int. J. Number Theory 19, No. 6, 1379-1386 (2023). Reviewer: László Tóth (Pécs) MSC: 11N37 11L07 × Cite Format Result Cite Review PDF 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 1530.11080 Ramanujan J. 60, No. 2, 485-504 (2023). Reviewer: Enrique Treviño (Lake Forest) MSC: 11P55 11N37 × Cite Format Result Cite Review PDF Full Text: DOI
Banerjee, Debika; Khyati On Wigert’s type divisor problem. (English) Zbl 1506.11122 J. Math. Anal. Appl. 517, No. 2, Article ID 126619, 23 p. (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11M06 11L07 × Cite Format Result Cite Review PDF Full Text: DOI
Zhai, Wenguang Manin’s conjecture for a class of singular cubic hypersurfaces. (English) Zbl 1522.11020 Front. Math. China 17, No. 6, 1089-1132 (2022). MSC: 11D45 11N37 14G05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wei On the divisor function over nonhomogeneous Beatty sequences. (English) Zbl 1507.11073 Bull. Aust. Math. Soc. 106, No. 2, 280-287 (2022). Reviewer: Jiyou Li (Shanghai) MSC: 11L20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhai, Wenguang On a sum involving small arithmetic functions. (English) Zbl 1502.11088 Int. J. Number Theory 18, No. 9, 2029-2052 (2022). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11N37 × Cite Format Result Cite Review PDF Full Text: DOI
Pandey, Mayank Moment estimates for the exponential sum with higher divisor functions. (English) Zbl 1505.11106 C. R., Math., Acad. Sci. Paris 360, 419-424 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L03 11L07 11L40 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen Xuan Tho Solutions to a Lebesgue-Nagell equation. (English) Zbl 1486.11052 Bull. Aust. Math. Soc. 105, No. 1, 19-30 (2022). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11D61 11D72 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Berndt, Bruce C.; Fassina, Martino; Kim, Sun; Zaharescu, Alexandru Balanced derivatives, identities, and bounds for trigonometric and Bessel series. (English) Zbl 1503.11109 Adv. Math. 395, Article ID 108085, 40 p. (2022). Reviewer: Giovanni Coppola (Napoli) MSC: 11L03 33C10 11L07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chakraborty, Kalyan; Hoque, Azizul On the Diophantine equation \(dx^2+p^{2a}q^{2b}=4y^p\). (English) Zbl 1490.11041 Result. Math. 77, No. 1, Paper No. 18, 11 p. (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D61 11D41 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alan, Murat On the exponential Diophantine equation \(m^x + (m+1)^y=(1+m+m^2)^z\). (English) Zbl 1524.11077 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 29, No. 3, 23-32 (2021). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Patel, Vandita A Lucas-Lehmer approach to generalised Lebesgue-Ramanujan-Nagell equations. (English) Zbl 1484.11102 Ramanujan J. 56, No. 2, 585-596 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11D61 11D41 11D59 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kundu, Debanjana; Patel, Vandita Perfect powers that are sums of squares of an arithmetic progression. (English) Zbl 1505.11061 Rocky Mt. J. Math. 51, No. 3, 933-949 (2021). Reviewer: Gökhan Soydan (Bursa) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takeda, Wataru Correction to: “Uniform bounds of the Piltz divisor problem over number fields”. (English) Zbl 1474.11168 Pac. J. Math. 311, No. 2, 505-509 (2021). MSC: 11N45 11R42 11H06 11P21 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Chakraborty, K.; Hoque, A.; Srinivas, K. On the Diophantine equation \(cx^2+p^{2m}=4y^n\). (English) Zbl 1480.11039 Result. Math. 76, No. 2, Paper No. 57, 13 p. (2021). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11D61 11D41 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amdeberhan, Tewodros; Moll, Victor H.; Sharma, Vaishavi; Villamizar, Diego Arithmetic properties of the sum of divisors. (English) Zbl 1468.11011 J. Number Theory 223, 325-349 (2021). MSC: 11A25 11D61 11A41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Dua, Nibha; Kumar, Niraj Certain results on a class of integral functions represented by multiple Dirichlet series. (English) Zbl 1474.30019 Mat. Vesn. 72, No. 3, 226-231 (2020). MSC: 30B50 46J15 17A35 × Cite Format Result Cite Review PDF Full Text: Link Link
Ghanmi, Nejib; Abu Muriefah, Fadwa S. On the Diophantine equation \(Cx^2+D=2y^q\). (English) Zbl 1484.11099 Ramanujan J. 53, No. 2, 389-397 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11D61 11D41 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: MNR
Das, Biswajit; Bora, Shreemayee Nearest matrix polynomials with a specified elementary divisor. (English) Zbl 1462.15011 SIAM J. Matrix Anal. Appl. 41, No. 4, 1505-1527 (2020). MSC: 15A16 15B05 47J10 47A56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alan, Murat; Zengin, Uǧur On the Diophantine equation \(x^2+3^a41^b=y^n\). (English) Zbl 1474.11093 Period. Math. Hung. 81, No. 2, 284-291 (2020). Reviewer: István Gaál (Debrecen) MSC: 11D61 11D59 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Takeda, Wataru Uniform bounds of the Piltz divisor problem over number fields. (English) Zbl 1472.11264 Pac. J. Math. 301, No. 2, 601-616 (2019); correction ibid. 311, No. 2, 505-509 (2021). MSC: 11N45 11R42 11H06 11P21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhatter, S.; Hoque, A.; Sharma, R. On the solutions of a Lebesgue-Nagell type equation. (English) Zbl 1438.11083 Acta Math. Hung. 158, No. 1, 17-26 (2019). MSC: 11D61 11D41 11R29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ning, Juhong; Xiang, Mengjuan Function spaces of entire Dirichlet series. (Chinese. English summary) Zbl 1424.30008 J. Nat. Sci. Heilongjiang Univ. 35, No. 2, 171-174 (2018). MSC: 30B50 46J10 46J15 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Sander, J. W. On the kernel of integral circulant graphs. (English) Zbl 1390.05137 Linear Algebra Appl. 549, 79-85 (2018). MSC: 05C50 11L03 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Niraj; Manocha, Garima A study of various results for a class of entire Dirichlet series with complex frequencies. (English) Zbl 1463.30011 Math. Bohem. 143, No. 1, 1-9 (2018). MSC: 30B50 46J15 17A35 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xi, Ping A quadratic analogue of Titchmarsh divisor problem. (English) Zbl 1420.11125 J. Number Theory 184, 192-205 (2018). MSC: 11N37 11N13 11L07 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: arXiv
Fu, Ruiqin; Yang, Hai On the exponential Diophantine equation \((am^2 + 1)^x + (bm^2 - 1)^y= (cm)^z\) with \(c \mid m\). (English) Zbl 1413.11073 Period. Math. Hung. 75, No. 2, 143-149 (2017). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF
Xiaoying, Wang; Han, Zhang A note on the Diophantine equation \(px^2+q^{2n}=y^p\). (English) Zbl 1389.11089 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 60(108), No. 1, 51-57 (2017). Reviewer: Lajos Hajdu (Debrecen) MSC: 11D61 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guan, Xungui On the pure exponential Diophantine equation \(a^x + b^y = (m^2 + 1)^z\). (Chinese. English summary) Zbl 1374.11055 Adv. Math., Beijing 45, No. 5, 687-699 (2016). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
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 × Cite Format Result Cite Review PDF Full Text: DOI
Ostafe, Alina On some extensions of the Ailon-Rudnick theorem. (English) Zbl 1355.11103 Monatsh. Math. 181, No. 2, 451-471 (2016). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11R58 11D61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Marques, Diego; Trojovský, Pavel Terms of generalized Fibonacci sequences that are powers of their orders. (English) Zbl 1403.11027 Lith. Math. J. 56, No. 2, 219-228 (2016). MSC: 11D61 11B39 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Godinho, Hemar; Marques, Diego; Togbé, Alain On the Diophantine equation \(x^2 + C = y^n\), for \(C = 2^a3^b17^c\) and \(C = 2^a13^b17^c\). (English) Zbl 1389.11087 Math. Slovaca 66, No. 3, 565-574 (2016). Reviewer: Florian Luca (Johannesburg) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Friedland, Shmuel Matrices. Algebra, analysis and applications. (English) Zbl 1337.15002 Hackensack, NJ: World Scientific (ISBN 978-981-4667-96-8/hbk; 978-981-4667-98-2/ebook). xii, 582 p. (2016). Reviewer: John D. Dixon (Ottawa) MSC: 15-02 15A21 15A42 15A54 15A75 15A60 15A69 15B48 15A24 15A22 15A63 15A09 15A16 × Cite Format Result Cite Review PDF Full Text: DOI
Lelechenko, Andrew V. Exponential divisor functions. (English) Zbl 1392.11075 Šiauliai Math. Semin. 10(18), 181-197 (2015). MSC: 11N37 11M06 11A25 × Cite Format Result Cite Review PDF Full Text: arXiv
Sander, J. W.; Sander, T. On So’s conjecture for integral circulant graphs. (English) Zbl 1464.05185 Appl. Anal. Discrete Math. 9, No. 1, 59-72 (2015). MSC: 05C25 05C50 11L03 × Cite Format Result Cite Review PDF Full Text: DOI
Raza, Zahid; Waheed, Seemal Abdul GCED reciprocal LCEM matrices. (English) Zbl 1354.15024 Notes Number Theory Discrete Math. 21, No. 1, 79-85 (2015). MSC: 15B36 11A05 11C20 15A09 15A15 × Cite Format Result Cite Review PDF Full Text: Link
Yang, Li An asymptotic formula for the generalized exponential divisor function. (English) Zbl 1349.11132 Basic Sci. J. Text. Univ. 28, No. 2, 178-181 (2015). MSC: 11N37 11A25 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Huaming The application of BHV theorem to Diophantine equation \(x^y y^x = z^z\). (Chinese. English summary) Zbl 1349.11077 Acta Math. Sin., Chin. Ser. 58, No. 4, 679-684 (2015). MSC: 11D61 × Cite Format Result Cite Review PDF
Zhu, H.; Le, M.; Soydan, G.; Togbé, A. On the exponential Diophantine equation \(x^2 + 2^a p^b = y^n\). (English) Zbl 1349.11078 Period. Math. Hung. 70, No. 2, 233-247 (2015). Reviewer: Lajos Hajdu (Debrecen) MSC: 11D61 11D41 × Cite Format Result Cite Review PDF Full Text: DOI
Balazard, Michel; Martin, Bruno On an approximate functional equation due to J. R. Wilton. (Sur une équation fonctionnelle approchée due à J. R. Wilton.) (French. English summary) Zbl 1398.11127 Mosc. Math. J. 15, No. 4, 629-652 (2015). MSC: 11N37 11L07 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Raza, Zahid; Waheed, Seemal Abdul GCED and reciprocal GCED matrices. (English) Zbl 1366.15026 Hacet. J. Math. Stat. 44, No. 3, 633-640 (2015). MSC: 15B36 11C20 15A09 15A15 × Cite Format Result Cite Review PDF
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru Weighted divisor sums and Bessel function series. V. (English) Zbl 1326.33007 J. Approx. Theory 197, 101-114 (2015). Reviewer: István Mező (Debrecen) MSC: 33C10 11L03 11M99 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Liqun; Yao, Yanjun Sums of divisors of the ternary quadratic with almost equal variables. (English) Zbl 1323.11079 J. Number Theory 155, 248-263 (2015). Reviewer: Tatyana L. Todorova (Sofia) MSC: 11P55 11E20 11L03 × Cite Format Result Cite Review PDF Full Text: DOI
Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe On the exponent of distribution of the ternary divisor function. (English) Zbl 1317.11080 Mathematika 61, No. 1, 121-144 (2015). Reviewer: Huaning Liu (Shaanxi) MSC: 11L05 11N25 11N37 11T23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Yulin; Li, Xiaoxue A note on the equation \(x^y + y^z = z^x\). (English) Zbl 1371.11082 J. Inequal. Appl. 2014, Paper No. 170, 6 p. (2014). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Bérczes, Attila; Pink, István On generalized Lebesgue-Ramanujan-Nagell equations. (English) Zbl 1340.11039 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 22, No. 1, 51-71 (2014). MSC: 11D61 11D41 × Cite Format Result Cite Review PDF
Minculete, Nicuşor A new class of divisors: the exponential semiproper divisors. (English) Zbl 1313.11019 Bull. Transilv. Univ. Brașov, Ser. III, Math. Inform. Phys. 7(56), No. 1, 37-46 (2014). MSC: 11A25 11N37 × Cite Format Result Cite Review PDF
Fouvry, Étienne; Ganguly, Satadal; Kowalski, Emmanuel; Michel, Philippe Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions. (English) Zbl 1306.11079 Comment. Math. Helv. 89, No. 4, 979-1014 (2014). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11F11 11F30 11T23 11L05 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Soydan, Gökhan; Cangül, İsmail Naci Note on “On the Diophantine equation \(nx^2+2^{2m}=y^n\)”. (English) Zbl 1316.11023 J. Number Theory 140, 425-426 (2014). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Lingling; Zhang, Deyu On the mean value of an exponential divisor function. (Chinese. English summary) Zbl 1299.11070 Acta Math. Sin., Chin. Ser. 56, No. 3, 427-432 (2013). MSC: 11N37 11A25 × Cite Format Result Cite Review PDF
Lelechenko, Andrew An exponential divisor function over Gaussian integers. (English) Zbl 1289.11058 Mat. Visn. Nauk. Tov. Im. Shevchenka 10, 65-74 (2013). MSC: 11N37 11N56 × Cite Format Result Cite Review PDF
Cao, Xiaodong; Zhai, Wenguang On the four-dimensional divisor problem of \((a,b,c,c)\) type. (English) Zbl 1288.11090 Funct. Approximatio, Comment. Math. 49, No. 2, 251-267 (2013). Reviewer: Eira J. Scourfield (Egham) MSC: 11N37 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker Skew-symmetric matrix polynomials and their Smith forms. (English) Zbl 1281.15020 Linear Algebra Appl. 438, No. 12, 4625-4653 (2013). MSC: 15A54 15A16 15A21 15A23 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Niraj; Manocha, Garima On a class of entire functions represented by Dirichlet series. (English) Zbl 1277.30004 J. Egypt. Math. Soc. 21, No. 1, 21-24 (2013). MSC: 30B50 46J15 17A35 30D15 × Cite Format Result Cite Review PDF Full Text: DOI
He, Bo; Togbé, Alain; Yang, Shichun On the solutions of the exponential Diophantine equation \(a^x+b^y=(m^2+1)^z\). (English) Zbl 1274.11086 Quaest. Math. 36, No. 1, 119-135 (2013). MSC: 11D41 11D09 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru Weighted divisor sums and Bessel function series. III. (English) Zbl 1326.11057 J. Reine Angew. Math. 683, 67-96 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 11N37 33C10 11L03 × Cite Format Result Cite Review PDF Full Text: DOI
Bassalygo, L. A.; Zinoviev, V. A. On divisibility of exponential sums of polynomials of special type over fields of characteristic 2. (English) Zbl 1294.11213 Des. Codes Cryptography 66, No. 1-3, 129-143 (2013). MSC: 11T23 11L05 12E10 × Cite Format Result Cite Review PDF Full Text: DOI Link