Kenison, George; Nosan, Klara; Shirmohammadi, Mahsa; Worrell, James The membership problem for hypergeometric sequences with quadratic parameters. (English) Zbl 07760786 Dickenstein, Alicia (ed.) et al., Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24–27, 2023. New York, NY: Association for Computing Machinery (ACM). 407-416 (2023). MSC: 68W30 PDFBibTeX XMLCite \textit{G. Kenison} et al., in: Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24--27, 2023. New York, NY: Association for Computing Machinery (ACM). 407--416 (2023; Zbl 07760786) Full Text: DOI arXiv
Li, Jinjiang; Zhang, Min; Cai, Yingchun On the least almost-prime in arithmetic progression. (English) Zbl 07655761 Czech. Math. J. 73, No. 1, 177-188 (2023). MSC: 11N13 11N35 11N36 PDFBibTeX XMLCite \textit{J. Li} et al., Czech. Math. J. 73, No. 1, 177--188 (2023; Zbl 07655761) Full Text: DOI arXiv
Kaneko, Ikuya; Koyama, Shin-ya Euler products of Selberg zeta functions in the critical strip. (English) Zbl 1512.11066 Ramanujan J. 59, No. 2, 437-458 (2022). Reviewer: Joshua Friedman (Plainview) MSC: 11M36 PDFBibTeX XMLCite \textit{I. Kaneko} and \textit{S.-y. Koyama}, Ramanujan J. 59, No. 2, 437--458 (2022; Zbl 1512.11066) Full Text: DOI arXiv
Paulsen, Matthias On the degree of algebraic cycles on hypersurfaces. (English) Zbl 1505.14098 J. Reine Angew. Math. 790, 137-148 (2022). MSC: 14J70 14J20 14C25 PDFBibTeX XMLCite \textit{M. Paulsen}, J. Reine Angew. Math. 790, 137--148 (2022; Zbl 1505.14098) Full Text: DOI arXiv
Kaneko, Ikuya Euler product asymptotics for Dirichlet \(L\)-functions. (English) Zbl 1501.11086 Bull. Aust. Math. Soc. 106, No. 1, 48-56 (2022). Reviewer: David Lowry-Duda (Providence) MSC: 11M06 11M26 PDFBibTeX XMLCite \textit{I. Kaneko}, Bull. Aust. Math. Soc. 106, No. 1, 48--56 (2022; Zbl 1501.11086) Full Text: DOI arXiv
Li, Jinjiang; Xue, Fei; Zhang, Min A ternary Diophantine inequality with prime numbers of a special form. (English) Zbl 1513.11167 Period. Math. Hung. 85, No. 1, 14-31 (2022). Reviewer: Shigeru Kanemitsu (Kitakyushu) MSC: 11P32 11N36 11L07 11L20 11P05 PDFBibTeX XMLCite \textit{J. Li} et al., Period. Math. Hung. 85, No. 1, 14--31 (2022; Zbl 1513.11167) Full Text: DOI
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
Arango-Piñeros, Santiago; Keliher, Daniel; Keyes, Christopher Mertens’ theorem for Chebotarev sets. (English) Zbl 1498.11198 Int. J. Number Theory 18, No. 8, 1823-1842 (2022). Reviewer: David Lowry-Duda (Providence) MSC: 11N37 11M06 PDFBibTeX XMLCite \textit{S. Arango-Piñeros} et al., Int. J. Number Theory 18, No. 8, 1823--1842 (2022; Zbl 1498.11198) Full Text: DOI arXiv
Kieffer, Jean Upper bounds on the heights of polynomials and rational fractions from their values. (English) Zbl 1515.11026 Acta Arith. 203, No. 1, 49-68 (2022). Reviewer: Cristodor-Paul Ionescu (Bucureşti) MSC: 11C08 11G50 PDFBibTeX XMLCite \textit{J. Kieffer}, Acta Arith. 203, No. 1, 49--68 (2022; Zbl 1515.11026) 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
Bayless, Jonathan; Kinlaw, Paul; Lichtman, Jared Duker Higher Mertens constants for almost primes. (English) Zbl 1497.11236 J. Number Theory 234, 448-475 (2022). MSC: 11N25 11N37 11A51 PDFBibTeX XMLCite \textit{J. Bayless} et al., J. Number Theory 234, 448--475 (2022; Zbl 1497.11236) Full Text: DOI arXiv
Tavaré, Simon The magical Ewens sampling formula. (English) Zbl 1527.60014 Bull. Lond. Math. Soc. 53, No. 6, 1563-1582 (2021). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 60C05 60J10 92D10 PDFBibTeX XMLCite \textit{S. Tavaré}, Bull. Lond. Math. Soc. 53, No. 6, 1563--1582 (2021; Zbl 1527.60014) Full Text: DOI
Diouf, Madieyna A lower bound on the number of primes between \(\sqrt{n}\) and \(n\). (English) Zbl 1499.11024 JP J. Algebra Number Theory Appl. 51, No. 2, 183-211 (2021). MSC: 11A41 11N05 PDFBibTeX XMLCite \textit{M. Diouf}, JP J. Algebra Number Theory Appl. 51, No. 2, 183--211 (2021; Zbl 1499.11024) Full Text: DOI
Lichtman, Jared Duker Mertens’ prime product formula, dissected. (English) Zbl 1496.11123 Integers 21A, Paper A17, 15 p. (2021). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 PDFBibTeX XMLCite \textit{J. D. Lichtman}, Integers 21A, Paper A17, 15 p. (2021; Zbl 1496.11123) Full Text: Link
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
Elliott, Jesse Harmonic numbers and the prime counting function. (English) Zbl 1471.11242 Integers 21, Paper A31, 33 p. (2021). MSC: 11N05 11M26 PDFBibTeX XMLCite \textit{J. Elliott}, Integers 21, Paper A31, 33 p. (2021; Zbl 1471.11242) Full Text: arXiv Link
Dixit, Anup B.; Mahatab, Kamalakshya Large values of \(L\)-functions on the 1-line. (English) Zbl 1468.11185 Bull. Aust. Math. Soc. 103, No. 2, 230-243 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11M41 11R42 PDFBibTeX XMLCite \textit{A. B. Dixit} and \textit{K. Mahatab}, Bull. Aust. Math. Soc. 103, No. 2, 230--243 (2021; Zbl 1468.11185) Full Text: DOI arXiv
Román, Gábor On Euler products with smaller than one exponents. (English) Zbl 1453.11113 Acta Univ. Sapientiae, Math. 12, No. 1, 193-211 (2020). MSC: 11M06 PDFBibTeX XMLCite \textit{G. Román}, Acta Univ. Sapientiae, Math. 12, No. 1, 193--211 (2020; Zbl 1453.11113) Full Text: DOI
Alpay, Daniel; Pinhas, Ariel Stochastic Wiener filter in the white noise space. (English) Zbl 1441.93307 Opusc. Math. 40, No. 3, 323-339 (2020). MSC: 93E11 60H40 93C25 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{A. Pinhas}, Opusc. Math. 40, No. 3, 323--339 (2020; Zbl 1441.93307) Full Text: DOI arXiv
Garcia, Stephan Ramon; Luca, Florian; Shi, Kye; Udell, Gabe Primitive root bias for twin primes. II: Schinzel-type theorems for totient quotients and the sum-of-divisors function. (English) Zbl 1450.11002 J. Number Theory 208, 400-417 (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 11A07 11A41 11N05 11N37 11N56 PDFBibTeX XMLCite \textit{S. R. Garcia} et al., J. Number Theory 208, 400--417 (2020; Zbl 1450.11002) Full Text: DOI arXiv
Nordin, Azmeer; Md Noorani, Mohd Salmi; Dzul-Kifli, Syahida Che Counting closed orbits in discrete dynamical systems. (English) Zbl 1447.37034 Mohd, Mohd Hafiz (ed.) et al., Dynamical systems, bifurcation analysis and applications. Collected papers of the SEAMS school 2018 on dynamical systems and bifurcation analysis, DySBA, Penang, Malaysia, August 6–13, 2018. Singapore: Springer. Springer Proc. Math. Stat. 295, 147-171 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 37C35 37C30 37C25 37A44 37B10 PDFBibTeX XMLCite \textit{A. Nordin} et al., Springer Proc. Math. Stat. 295, 147--171 (2019; Zbl 1447.37034) Full Text: DOI
Akbal, Yıldırım A short note on some arithmetical properties of the integer part of \(\alpha p\). (English) Zbl 1455.11109 Turk. J. Math. 43, No. 3, 1253-1262 (2019). MSC: 11K31 11B25 PDFBibTeX XMLCite \textit{Y. Akbal}, Turk. J. Math. 43, No. 3, 1253--1262 (2019; Zbl 1455.11109) Full Text: DOI
Perkins, Matthew; Van Gorder, Robert A. Closed-form calculation of infinite products of Glaisher-type related to Dirichlet series. (English) Zbl 1429.40003 Ramanujan J. 49, No. 2, 371-389 (2019). MSC: 40A20 11M06 PDFBibTeX XMLCite \textit{M. Perkins} and \textit{R. A. Van Gorder}, Ramanujan J. 49, No. 2, 371--389 (2019; Zbl 1429.40003) Full Text: DOI
Balister, Paul; Bollobás, Béla; Lee, Jonathan D.; Morris, Robert; Riordan, Oliver A note on Linnik’s theorem on quadratic non-residues. (English) Zbl 1447.11100 Arch. Math. 112, No. 4, 371-375 (2019). Reviewer: Stephan Baier (Haora) MSC: 11N36 11N69 11A15 PDFBibTeX XMLCite \textit{P. Balister} et al., Arch. Math. 112, No. 4, 371--375 (2019; Zbl 1447.11100) Full Text: DOI arXiv
Andrade, J. C.; Shamesaldeen, A.; Summersby, C. On elementary estimates of arithmetic sums for polynomial rings over finite fields. (English) Zbl 1454.11172 J. Number Theory 199, 49-62 (2019). MSC: 11N37 11N56 11T55 PDFBibTeX XMLCite \textit{J. C. Andrade} et al., J. Number Theory 199, 49--62 (2019; Zbl 1454.11172) Full Text: DOI Link
Gasull, Armengol; Mañosas, Francesc Subseries and signed series. (English) Zbl 1407.40003 Commun. Pure Appl. Anal. 18, No. 1, 479-492 (2019). Reviewer: Toivo Leiger (Tartu) MSC: 40A05 60G50 65B10 97I30 PDFBibTeX XMLCite \textit{A. Gasull} and \textit{F. Mañosas}, Commun. Pure Appl. Anal. 18, No. 1, 479--492 (2019; Zbl 1407.40003) Full Text: DOI
Cohen-Hillel, Tamar; Yedidsion, Liron The periodic joint replenishment problem is strongly \(\mathcal{NP} \)-hard. (English) Zbl 1440.90096 Math. Oper. Res. 43, No. 4, 1269-1289 (2018). MSC: 90C60 68Q25 90B05 PDFBibTeX XMLCite \textit{T. Cohen-Hillel} and \textit{L. Yedidsion}, Math. Oper. Res. 43, No. 4, 1269--1289 (2018; Zbl 1440.90096) Full Text: DOI arXiv
Meng, Xianchang Large bias for integers with prime factors in arithmetic progressions. (English) Zbl 1428.11162 Mathematika 64, No. 1, 237-252 (2018). MSC: 11N13 11N25 11N69 11M06 PDFBibTeX XMLCite \textit{X. Meng}, Mathematika 64, No. 1, 237--252 (2018; Zbl 1428.11162) Full Text: DOI arXiv
Rohrlich, David E. A Taniyama product for the Riemann zeta function. (English) Zbl 1497.11208 Montgomery, Hugh (ed.) et al., Exploring the Riemann zeta function. 190 years from Riemann’s birth. With a preface by Freeman J. Dyson. Cham: Springer. 287-298 (2017). MSC: 11M06 PDFBibTeX XMLCite \textit{D. E. Rohrlich}, in: Exploring the Riemann zeta function. 190 years from Riemann's birth. With a preface by Freeman J. Dyson. Cham: Springer. 287--298 (2017; Zbl 1497.11208) Full Text: DOI
Vanlalngaia, Ramdinmawia Explicit Mertens sums. (English) Zbl 1412.11125 Integers 17, Paper A11, 18 p. (2017). MSC: 11N37 11M06 PDFBibTeX XMLCite \textit{R. Vanlalngaia}, Integers 17, Paper A11, 18 p. (2017; Zbl 1412.11125) Full Text: Link
Hasegawa, Takehiro; Saito, Seiken On graph theory Mertens’ theorems. (English) Zbl 1415.05093 Graphs Comb. 32, No. 5, 1915-1930 (2016). MSC: 05C38 05C30 05C50 11N45 PDFBibTeX XMLCite \textit{T. Hasegawa} and \textit{S. Saito}, Graphs Comb. 32, No. 5, 1915--1930 (2016; Zbl 1415.05093) Full Text: DOI arXiv
Jung, Junehyuk; Shin, Sug Woo On the sparsity of positive-definite automorphic forms within a family. (English) Zbl 1418.11088 J. Anal. Math. 129, 105-138 (2016). MSC: 11F66 PDFBibTeX XMLCite \textit{J. Jung} and \textit{S. W. Shin}, J. Anal. Math. 129, 105--138 (2016; Zbl 1418.11088) Full Text: DOI arXiv
Elstrodt, Jürgen; Lorenz, Falko On Euler’s remarks on the distribution of primes. (Über Eulers Bemerkungen zur Primzahlverteilung.) (German. English summary) Zbl 1332.01043 Math. Semesterber. 62, No. 2, 131-142 (2015). Reviewer: Robert W. van der Waall (Huizen) MSC: 01A70 01A50 11-03 11A41 PDFBibTeX XMLCite \textit{J. Elstrodt} and \textit{F. Lorenz}, Math. Semesterber. 62, No. 2, 131--142 (2015; Zbl 1332.01043) Full Text: DOI
He, Xiaoyu Geometric progression-free sequences with small gaps. (English) Zbl 1325.11014 J. Number Theory 151, 197-210 (2015). Reviewer: Angel V. Kumchev (Towson) MSC: 11B05 11B75 11N25 PDFBibTeX XMLCite \textit{X. He}, J. Number Theory 151, 197--210 (2015; Zbl 1325.11014) Full Text: DOI arXiv
Xue, Boqing On the congruence \(\kappa n\equiv a\pmod{\varphi(n)}\). (English) Zbl 1352.11009 Funct. Approximatio, Comment. Math. 51, No. 1, 189-196 (2014). MSC: 11A25 PDFBibTeX XMLCite \textit{B. Xue}, Funct. Approximatio, Comment. Math. 51, No. 1, 189--196 (2014; Zbl 1352.11009) Full Text: DOI Euclid
Avdeeva, Maria; Li, Dong; Sinai, Yakov G. New Erdős-Kac type theorems for signed measures on square-free integers. (English) Zbl 1291.11125 J. Stat. Phys. 154, No. 1-2, 327-333 (2014). MSC: 11N37 11K65 60B10 60F05 PDFBibTeX XMLCite \textit{M. Avdeeva} et al., J. Stat. Phys. 154, No. 1--2, 327--333 (2014; Zbl 1291.11125) Full Text: DOI
Kimura, Taro; Koyama, Shin-ya; Kurokawa, Nobushige Euler products beyond the boundary. (English) Zbl 1288.11083 Lett. Math. Phys. 104, No. 1, 1-19 (2014). Reviewer: Mehmet Cenkci (Antalya) MSC: 11M06 PDFBibTeX XMLCite \textit{T. Kimura} et al., Lett. Math. Phys. 104, No. 1, 1--19 (2014; Zbl 1288.11083) Full Text: DOI arXiv
Lagarias, Jeffrey C. Euler’s constant: Euler’s work and modern developments. (English) Zbl 1282.11002 Bull. Am. Math. Soc., New Ser. 50, No. 4, 527-628 (2013). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-02 11-03 01A50 11Y60 11J72 11J81 11M06 PDFBibTeX XMLCite \textit{J. C. Lagarias}, Bull. Am. Math. Soc., New Ser. 50, No. 4, 527--628 (2013; Zbl 1282.11002) Full Text: DOI arXiv
Cellarosi, F.; Sinai, Ya. G. The Möbius function and statistical mechanics. (English) Zbl 1291.11138 Bull. Math. Sci. 1, No. 2, 245-275 (2011). MSC: 11Z05 11A25 11M06 82B05 PDFBibTeX XMLCite \textit{F. Cellarosi} and \textit{Ya. G. Sinai}, Bull. Math. Sci. 1, No. 2, 245--275 (2011; Zbl 1291.11138) Full Text: DOI
Wójtowicz, Marek Another proof on the existence of Mertens’s constant. (English) Zbl 1252.11006 Proc. Japan Acad., Ser. A 87, No. 2, 22-23 (2011). Reviewer: Michael Coons (Callaghan) MSC: 11A41 11N56 PDFBibTeX XMLCite \textit{M. Wójtowicz}, Proc. Japan Acad., Ser. A 87, No. 2, 22--23 (2011; Zbl 1252.11006) Full Text: DOI
Olofsson, Rikard Properties of the Beurling generalized primes. (English) Zbl 1226.11104 J. Number Theory 131, No. 1, 45-58 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11N80 PDFBibTeX XMLCite \textit{R. Olofsson}, J. Number Theory 131, No. 1, 45--58 (2011; Zbl 1226.11104) Full Text: DOI
Diamond, Harold G.; Pintz, János Oscillation of Mertens’ product formula. (English) Zbl 1214.11102 J. Théor. Nombres Bordx. 21, No. 3, 523-533 (2009). Reviewer: M. Ram Murty (Kingston) MSC: 11N05 11M26 11M45 PDFBibTeX XMLCite \textit{H. G. Diamond} and \textit{J. Pintz}, J. Théor. Nombres Bordx. 21, No. 3, 523--533 (2009; Zbl 1214.11102) Full Text: DOI Numdam Numdam EuDML
Altınışık, Ercan On inverses of GCD matrices associated with multiplicative functions and a proof of the Hong-Loewy conjecture. (English) Zbl 1216.11032 Linear Algebra Appl. 430, No. 4, 1313-1327 (2009). Reviewer: C. M. da Fonseca (Coimbra) MSC: 11C20 15A09 15A18 15B36 PDFBibTeX XMLCite \textit{E. Altınışık}, Linear Algebra Appl. 430, No. 4, 1313--1327 (2009; Zbl 1216.11032) Full Text: DOI
Liu, Yu-Ru Prime analogues of the Erdős-Kac theorem for elliptic curves. (English) Zbl 1120.11042 J. Number Theory 119, No. 2, 155-170 (2006). Reviewer: Angel V. Kumchev (Towson) MSC: 11N60 11G20 PDFBibTeX XMLCite \textit{Y.-R. Liu}, J. Number Theory 119, No. 2, 155--170 (2006; Zbl 1120.11042) Full Text: DOI
Liu, Yu-Ru; Murty, M. Ram A weighted Turán sieve method. (English) Zbl 1160.11348 J. Number Theory 116, No. 1, 1-20 (2006). MSC: 11N37 11N36 11N80 PDFBibTeX XMLCite \textit{Y.-R. Liu} and \textit{M. R. Murty}, J. Number Theory 116, No. 1, 1--20 (2006; Zbl 1160.11348) Full Text: DOI
Liu, Yu-Ru; Murty, M. Ram Sieve methods in combinatorics. (English) Zbl 1066.05003 J. Comb. Theory, Ser. A 111, No. 1, 1-23 (2005). MSC: 05A05 11N35 PDFBibTeX XMLCite \textit{Y.-R. Liu} and \textit{M. R. Murty}, J. Comb. Theory, Ser. A 111, No. 1, 1--23 (2005; Zbl 1066.05003) Full Text: DOI
Pétermann, Y.-F. S. An \(\Omega\)-theorem for an error term related to the sum-of-divisors functions. (English) Zbl 0606.10035 Monatsh. Math. 103, 145-157 (1987). MSC: 11N37 PDFBibTeX XMLCite \textit{Y. F. S. Pétermann}, Monatsh. Math. 103, 145--157 (1987; Zbl 0606.10035) Full Text: DOI EuDML
Diamond, Harold G. Elementary methods in the study of the distribution of prime numbers. (English) Zbl 0505.10021 Bull. Am. Math. Soc., New Ser. 7, 553-589 (1982). MSC: 11N05 11-02 11A41 PDFBibTeX XMLCite \textit{H. G. Diamond}, Bull. Am. Math. Soc., New Ser. 7, 553--589 (1982; Zbl 0505.10021) Full Text: DOI Backlinks: MO
Kuhn, P. Über ein Problem in der Theorie der Primzahlen. (German) Zbl 0089.26703 Ark. Mat. 4, 1-14 (1960). Reviewer: Sigmund Selberg MSC: 11N05 11N13 PDFBibTeX XMLCite \textit{P. Kuhn}, Ark. Mat. 4, 1--14 (1960; Zbl 0089.26703) Full Text: DOI
Ricci, Giovanni Sui grandi divisori primi delle coppie di interi in posti corrispondenti di due progressioni aritmetiche. Applicazione del metodo di Brun. (Italian) Zbl 0005.34401 Ann. Mat. Pura Appl., IV. Ser. 11, 91-110 (1932). PDFBibTeX XMLCite \textit{G. Ricci}, Ann. Mat. Pura Appl. (4) 11, 91--110 (1932; Zbl 0005.34401) Full Text: DOI
Ricci, G. Sui grandi divisori primi delle coppie di interi in posti corrispondenti di due progressioni aritmetiche. Applicazione del metodo di Brun. (Italian) JFM 58.0195.02 Annali di Mat. (4) 11, 91-110 (1932). Reviewer: Rothe-Ille, Hildegard, Dr. (Breslau) PDFBibTeX XMLCite \textit{G. Ricci}, Ann. Mat. Pura Appl. (4) 11, 91--110 (1932; JFM 58.0195.02) Full Text: DOI