McNew, Nathan; Pollack, Paul; Roy, Akash Singha The distribution of intermediate prime factors. arXiv:2305.01117 Preprint, arXiv:2305.01117 [math.NT] (2023). MSC: 11N37 11A51 11N25 BibTeX Cite \textit{N. McNew} et al., ``The distribution of intermediate prime factors'', Preprint, arXiv:2305.01117 [math.NT] (2023) Full Text: arXiv OA License
Pollack, Paul The distribution of numbers with many factorizations. (English) Zbl 1485.11142 Math. Z. 299, No. 3-4, 2327-2339 (2021). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N64 11N25 11N37 PDFBibTeX XMLCite \textit{P. Pollack}, Math. Z. 299, No. 3--4, 2327--2339 (2021; Zbl 1485.11142) Full Text: DOI
Agrawal, Komal; Pollack, Paul Finite sets containing near-primitive roots. (English) Zbl 1471.11008 J. Number Theory 225, 360-373 (2021). MSC: 11A07 11N25 PDFBibTeX XMLCite \textit{K. Agrawal} and \textit{P. Pollack}, J. Number Theory 225, 360--373 (2021; Zbl 1471.11008) Full Text: DOI arXiv
Pollack, Paul Popular subsets for Euler’s \(\varphi \)-function. (English) Zbl 1426.11115 Math. Ann. 374, No. 1-2, 253-271 (2019). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 11N64 11N25 11N37 PDFBibTeX XMLCite \textit{P. Pollack}, Math. Ann. 374, No. 1--2, 253--271 (2019; Zbl 1426.11115) Full Text: DOI
Pollack, Paul How often is Euler’s totient a perfect power? (English) Zbl 1411.11092 J. Number Theory 197, 1-12 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N64 11N25 11N37 PDFBibTeX XMLCite \textit{P. Pollack}, J. Number Theory 197, 1--12 (2019; Zbl 1411.11092) Full Text: DOI
McNew, Nathan; Pollack, Paul; Pomerance, Carl Numbers divisible by a large shifted prime and large torsion subgroups of CM elliptic curves. (English) Zbl 1405.11123 Int. Math. Res. Not. 2017, No. 18, 5525-5553 (2017). MSC: 11N25 11G05 PDFBibTeX XMLCite \textit{N. McNew} et al., Int. Math. Res. Not. 2017, No. 18, 5525--5553 (2017; Zbl 1405.11123) Full Text: DOI Link
Pollack, Paul Bounds for the first several prime character nonresidues. (English) Zbl 1427.11005 Proc. Am. Math. Soc. 145, No. 7, 2815-2826 (2017). Reviewer: Florian Luca (Johannesburg) MSC: 11A15 11L40 11N25 PDFBibTeX XMLCite \textit{P. Pollack}, Proc. Am. Math. Soc. 145, No. 7, 2815--2826 (2017; Zbl 1427.11005) Full Text: DOI arXiv Backlinks: MO
Bourdon, Abbey; Clark, Pete L.; Pollack, Paul Anatomy of torsion in the CM case. (English) Zbl 1422.11139 Math. Z. 285, No. 3-4, 795-820 (2017). MSC: 11G15 11G05 11N25 11N37 PDFBibTeX XMLCite \textit{A. Bourdon} et al., Math. Z. 285, No. 3--4, 795--820 (2017; Zbl 1422.11139) Full Text: DOI arXiv
Pollack, Paul; Vandehey, Joseph Some normal numbers generated by arithmetic functions. (English) Zbl 1318.11096 Can. Math. Bull. 58, No. 1, 160-173 (2015). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11K16 11A63 11N25 11N37 PDFBibTeX XMLCite \textit{P. Pollack} and \textit{J. Vandehey}, Can. Math. Bull. 58, No. 1, 160--173 (2015; Zbl 1318.11096) Full Text: DOI arXiv
Kobayashi, Mitsuo; Pollack, Paul The error term in the count of abundant numbers. (English) Zbl 1318.11004 Mathematika 60, No. 1, 43-65 (2014). MSC: 11A25 11K65 11N25 PDFBibTeX XMLCite \textit{M. Kobayashi} and \textit{P. Pollack}, Mathematika 60, No. 1, 43--65 (2014; Zbl 1318.11004) Full Text: DOI
Pollack, Paul; Pomerance, Carl Square values of Euler’s function. (English) Zbl 1297.11125 Bull. Lond. Math. Soc. 46, No. 2, 403-414 (2014). Reviewer: Eira J. Scourfield (Egham) MSC: 11N37 11N25 11N36 PDFBibTeX XMLCite \textit{P. Pollack} and \textit{C. Pomerance}, Bull. Lond. Math. Soc. 46, No. 2, 403--414 (2014; Zbl 1297.11125) Full Text: DOI
Pollack, Paul; Thompson, Lola Practical pretenders. (English) Zbl 1274.11139 Publ. Math. Debr. 82, No. 3-4, 651-667 (2013). MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{P. Pollack} and \textit{L. Thompson}, Publ. Math. Debr. 82, No. 3--4, 651--667 (2013; Zbl 1274.11139) Full Text: DOI arXiv
Pollack, Paul; Thompson, Lola On the degrees of divisors of \(T^{n}-1\). (English) Zbl 1282.11125 New York J. Math. 19, 91-116 (2013). Reviewer: Florian Luca (Morelia) MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{P. Pollack} and \textit{L. Thompson}, New York J. Math. 19, 91--116 (2013; Zbl 1282.11125) Full Text: arXiv EMIS
Pollack, Paul; Pomerance, Carl; Treviño, Enrique Sets of monotonicity for Euler’s totient function. (English) Zbl 1348.11003 Ramanujan J. 30, No. 3, 379-398 (2013). MSC: 11A25 11N25 11N36 PDFBibTeX XMLCite \textit{P. Pollack} et al., Ramanujan J. 30, No. 3, 379--398 (2013; Zbl 1348.11003) Full Text: DOI
Pollack, Paul; Pomerance, Carl On the distribution of some integers related to perfect and amicable numbers. (English) Zbl 1285.11009 Colloq. Math. 130, No. 2, 169-182 (2013). Reviewer: Florian Luca (Morelia) MSC: 11A25 11N25 11N36 PDFBibTeX XMLCite \textit{P. Pollack} and \textit{C. Pomerance}, Colloq. Math. 130, No. 2, 169--182 (2013; Zbl 1285.11009) Full Text: DOI Link
Anavi, Aria; Pollack, Paul; Pomerance, Carl On congruences of the form \(\sigma(n)\equiv a\pmod n\). (English) Zbl 1271.11004 Int. J. Number Theory 9, No. 1, 115-124 (2013). Reviewer: Florian Luca (Morelia) MSC: 11A25 11N25 11A07 PDFBibTeX XMLCite \textit{A. Anavi} et al., Int. J. Number Theory 9, No. 1, 115--124 (2013; Zbl 1271.11004) Full Text: DOI
Pollack, Paul Finiteness theorems for perfect numbers and their kin. (English) Zbl 1275.11011 Am. Math. Mon. 119, No. 8, 670-681 (2012). Reviewer: Leonard Jones (Shippensburg) MSC: 11A25 11N25 PDFBibTeX XMLCite \textit{P. Pollack}, Am. Math. Mon. 119, No. 8, 670--681 (2012; Zbl 1275.11011) Full Text: DOI
Pollack, Paul; Pomerance, Carl Prime-perfect numbers. (English) Zbl 1271.11006 Integers 12, No. 6, 1417-1437, A14 (2012). Reviewer: Florian Luca (Morelia) MSC: 11A25 11N25 PDFBibTeX XMLCite \textit{P. Pollack} and \textit{C. Pomerance}, Integers 12, No. 6, 1417--1437, A14 (2012; Zbl 1271.11006) Full Text: DOI EMIS
Pollack, Paul; Shevelev, Vladimir On perfect and near-perfect numbers. (English) Zbl 1272.11013 J. Number Theory 132, No. 12, 3037-3046 (2012). Reviewer: Eira J. Scourfield (Egham) MSC: 11A25 11N25 11B83 PDFBibTeX XMLCite \textit{P. Pollack} and \textit{V. Shevelev}, J. Number Theory 132, No. 12, 3037--3046 (2012; Zbl 1272.11013) Full Text: DOI arXiv
Pollack, Paul The average least quadratic nonresidue modulo \(m\) and other variations on a theme of Erdős. (English) Zbl 1300.11008 J. Number Theory 132, No. 6, 1185-1202 (2012). Reviewer: Pieter Moree (Bonn) MSC: 11A15 11N25 11N36 PDFBibTeX XMLCite \textit{P. Pollack}, J. Number Theory 132, No. 6, 1185--1202 (2012; Zbl 1300.11008) Full Text: DOI
Pollack, Paul A remark on sociable numbers of odd order. (English) Zbl 1195.11013 J. Number Theory 130, No. 8, 1732-1736 (2010). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11A25 11N25 PDFBibTeX XMLCite \textit{P. Pollack}, J. Number Theory 130, No. 8, 1732--1736 (2010; Zbl 1195.11013) Full Text: DOI