Edit Profile (opens in new tab) Pollack, Paul Compute Distance To: Compute Author ID: pollack.paul Published as: Pollack, Paul; Pollack, P. External Links: MGP Documents Indexed: 132 Publications since 2008, including 3 Books Co-Authors: 48 Co-Authors with 72 Joint Publications 857 Co-Co-Authors all top 5 Co-Authors 60 single-authored 14 Pomerance, Carl Bernard 9 Thompson, Lola 8 Clark, Peter Louis 6 Treviño, Enrique 4 Linowitz, Benjamin 4 Luca, Florian 4 Roy, Akash Singha 3 Lebowitz-Lockard, Noah 3 McReynolds, David Ben 2 Baker, Roger C. 2 Bourdon, Abbey 2 Ford, Kevin B. 2 Kobayashi, Mitsuo 2 Martin, Greg 2 Vandehey, Joseph 1 Agrawal, Komal 1 Anavi, Aria 1 Banks, William D. 1 Benli, Kübra 1 Castillo, Abel 1 Cengiz, U. Caner 1 Crişan, Vlad 1 Engberg, Zebediah 1 Freiberg, Tristan 1 Gallardo, Luis Henri 1 Ge, Zhenchao 1 Goldmakher, Leo 1 Gosavi, Saurabh 1 Hall, Chris 1 Hopper, Jackson 1 James, Kevin 1 Jennings, Emily 1 Just, Matthew 1 Kozek, Mark 1 Krumm, David 1 Lemke Oliver, Robert J. 1 McNew, Nathan 1 Meyer, Jeffrey S. 1 Milinovich, Micah B. 1 Milošević, Marko S. 1 Rahavandrainy, Olivier 1 Sanna, Carlo 1 Schorn, Peter 1 Shevelev, Vladimir Samuil 1 Smith, Ethan 1 Snyder, Noah 1 Subramaniam, Dipika 1 Troupe, Lee all top 5 Serials 14 Journal of Number Theory 9 American Mathematical Monthly 9 Proceedings of the American Mathematical Society 7 Integers 6 Acta Arithmetica 6 International Journal of Number Theory 4 Colloquium Mathematicum 4 Finite Fields and their Applications 4 The New York Journal of Mathematics 3 Bulletin of the Australian Mathematical Society 3 Canadian Mathematical Bulletin 3 Mathematische Zeitschrift 3 IMRN. International Mathematics Research Notices 3 Elemente der Mathematik 3 Mathematical Research Letters 3 The Ramanujan Journal 3 Algebra & Number Theory 2 Illinois Journal of Mathematics 2 Mathematika 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Publicationes Mathematicae Debrecen 1 Quaestiones Mathematicae 1 Acta Mathematica Hungarica 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Indagationes Mathematicae. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Integer Sequences 1 The Quarterly Journal of Mathematics 1 Central European Journal of Mathematics 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Student Mathematical Library 1 Uniform Distribution Theory 1 Moscow Journal of Combinatorics and Number Theory 1 Transactions of the American Mathematical Society. Series B 1 Problem Books in Mathematics all top 5 Fields 127 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 2 Algebraic geometry (14-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 318 times in 242 Documents Cited by ▼ Year ▼ Not always buried deep. A second course in elementary number theory. Zbl 1187.11001Pollack, Paul 22 2009 Irreducible polynomials with several prescribed coefficients. Zbl 1331.11106Pollack, Paul 14 2013 Bounded gaps between primes with a given primitive root. Zbl 1392.11073Pollack, Paul 11 2014 Simultaneous prime specializations of polynomials over finite fields. Zbl 1221.11239Pollack, Paul 11 2008 Bounded gaps between primes in number fields and function fields. Zbl 1321.11098Castillo, Abel; Hall, Chris; Lemke Oliver, Robert J.; Pollack, Paul; Thompson, Lola 11 2015 On perfect and near-perfect numbers. Zbl 1272.11013Pollack, Paul; Shevelev, Vladimir 8 2012 Some problems of Erdős on the sum-of-divisors function. Zbl 1365.11111Pollack, Paul; Pomerance, Carl 7 2016 Revisiting Gauss’s analogue of the prime number theorem for polynomials over a finite field. Zbl 1201.11109Pollack, Paul 7 2010 Torsion subgroups of CM elliptic curves over odd degree number fields. Zbl 1405.11072Bourdon, Abbey; Pollack, Paul 7 2017 On the greatest common divisor of a number and its sum of divisors. Zbl 1286.11152Pollack, Paul 7 2011 A Titchmarsh divisor problem for elliptic curves. Zbl 1371.11103Pollack, Paul 7 2016 A polynomial analogue of the twin prime conjecture. Zbl 1155.11058Pollack, Paul 6 2008 The truth about torsion in the CM case. (La vérité sur la torsion dans le cas CM.) Zbl 1333.11051Clark, Pete L.; Pollack, Paul 5 2015 Arithmetic functions at consecutive shifted primes. Zbl 1327.11063Pollack, Paul; Thompson, Lola 5 2015 On a conjecture of Beard, O’Connell and West concerning perfect polynomials. Zbl 1130.11070Gallardo, Luis; Pollack, Paul; Rahavandrainy, Olivier 5 2008 On the distribution of sociable numbers. Zbl 1241.11120Kobayashi, Mitsuo; Pollack, Paul; Pomerance, Carl 5 2009 On polynomial rings with a Goldbach property. Zbl 1206.13010Pollack, Paul 5 2011 On Dickson’s theorem concerning odd perfect numbers. Zbl 1225.11009Pollack, Paul 5 2011 Divisor-sum fibers. Zbl 1410.11115Pollack, Paul; Pomerance, Carl; Thompson, Lola 5 2018 Counting and effective rigidity in algebra and geometry. Zbl 1423.53054Linowitz, Benjamin; McReynolds, D. B.; Pollack, Paul; Thompson, Lola 5 2018 On congruences of the form \(\sigma(n)\equiv a\pmod n\). Zbl 1271.11004Anavi, Aria; Pollack, Paul; Pomerance, Carl 5 2013 Extremal primes for elliptic curves with complex multiplication. Zbl 1419.11091James, Kevin; Pollack, Paul 5 2017 The primes that Euclid forgot. Zbl 1317.11015Pollack, Paul; Treviño, Enrique 4 2014 Palindromic sums of proper divisors. Zbl 1351.11007Pollack, Paul 4 2015 The smallest prime that splits completely in an abelian number field. Zbl 1294.11203Pollack, Paul 4 2014 Some arithmetic properties of the sum of proper divisors and the sum of prime divisors. Zbl 1368.11003Pollack, Paul 4 2014 On common values of \(\varphi(n)\) and \(\sigma(m)\). II. Zbl 1279.11093Ford, Kevin; Pollack, Paul 4 2012 Prime splitting in abelian number fields and linear combinations of Dirichlet characters. Zbl 1298.11082Pollack, Paul 4 2014 Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds. (Petits écarts entre idéaux premiers et spectres de longueurs de 3-variétés hyperboliques arithmétiques.) Zbl 1379.58016Linowitz, Benjamin; McReynolds, D. B.; Pollack, Paul; Thompson, Lola 4 2017 Bounds for the first several prime character nonresidues. Zbl 1427.11005Pollack, Paul 4 2017 The average least quadratic nonresidue modulo \(m\) and other variations on a theme of Erdős. Zbl 1300.11008Pollack, Paul 4 2012 Averages of the number of points on elliptic curves. Zbl 1316.11046Martin, Greg; Pollack, Paul; Smith, Ethan 3 2014 Bounded gaps between primes with a given primitive root. II. Zbl 1417.11146Baker, Roger C.; Pollack, Paul 3 2016 On the distribution of some integers related to perfect and amicable numbers. Zbl 1285.11009Pollack, Paul; Pomerance, Carl 3 2013 Some normal numbers generated by arithmetic functions. Zbl 1318.11096Pollack, Paul; Vandehey, Joseph 3 2015 Euler and the partial sums of the prime harmonic series. Zbl 1358.11107Pollack, Paul 3 2015 An explicit approach to hypothesis H for polynomials over a finite field. Zbl 1187.11046Pollack, Paul 3 2008 Perfect numbers with identical digits. Zbl 1253.11007Pollack, Paul 3 2011 Multiperfect numbers with identical digits. Zbl 1218.11006Luca, Florian; Pollack, Paul 3 2011 Long gaps between deficient numbers. Zbl 1211.11006Pollack, Paul 3 2011 How often is Euler’s totient a perfect power? Zbl 1411.11092Pollack, Paul 3 2019 Numbers divisible by a large shifted prime and large torsion subgroups of CM elliptic curves. Zbl 1405.11123McNew, Nathan; Pollack, Paul; Pomerance, Carl 3 2017 On Hilbert’s solution of Waring’s problem. Zbl 1276.11161Pollack, Paul 3 2011 Prime-perfect numbers. Zbl 1271.11006Pollack, Paul; Pomerance, Carl 3 2012 Counting perfect polynomials. Zbl 1409.11132Cengiz, U. Caner; Pollack, Paul; Treviño, Enrique 3 2017 The average of the first invariant factor for reductions of CM elliptic curves mod \(p\). Zbl 1398.11088Freiberg, Tristan; Pollack, Paul 2 2015 Square values of Euler’s function. Zbl 1297.11125Pollack, Paul; Pomerance, Carl 2 2014 Digitally delicate primes. Zbl 1401.11130Hopper, Jackson; Pollack, Paul 2 2016 The Möbius transform and the infinitude of primes. Zbl 1229.11011Pollack, Paul 2 2011 Refinements of Lagrange’s four-square theorem. Zbl 1431.11053Goldmakher, Leo; Pollack, Paul 2 2018 Small prime \(k\)th power residues for \(k=2,3,4\): a reciprocity laws approach. Zbl 1454.11008Benli, Kübra; Pollack, Paul 2 2019 A note on Golomb topologies. Zbl 1420.54050Clark, Pete L.; Lebowitz-Lockard, Noah; Pollack, Paul 2 2019 The least prime quadratic nonresidue in a prescribed residue class mod 4. Zbl 1430.11006Pollack, Paul 2 2018 Waring’s problem for integral quaternions. Zbl 1442.11138Pollack, Paul 2 2018 Popular subsets for Euler’s \(\varphi \)-function. Zbl 1426.11115Pollack, Paul 2 2019 Remarks on fibers of the sum-of-divisors function. Zbl 1390.11118Pollack, Paul 2 2015 A generalization of the Hardy-Ramanujan inequality and applications. Zbl 1468.11202Pollack, Paul 2 2020 On ordered factorizations into distinct parts. Zbl 1436.11114Lebowitz-Lockard, Noah; Pollack, Paul 2 2020 Pursuing polynomial bounds on torsion. Zbl 1423.14162Clark, Pete L.; Pollack, Paul 2 2018 The average least character non-residue and further variations on a theme of Erdős. Zbl 1275.11007Martin, Greg; Pollack, Paul 2 2013 The number of atoms in a primefree atomic domain. Zbl 1387.13043Clark, Pete L.; Gosavi, Saurabh; Pollack, Paul 2 2017 A simple proof of a theorem of Hajdu-Jarden-Narkiewicz. Zbl 1422.11224Pollack, Paul 2 2017 The length spectra of arithmetic hyperbolic 3-manifolds and their totally geodesic surfaces. Zbl 1330.53053Linowitz, Benjamin; Meyer, Jeffrey S.; Pollack, Paul 2 2015 On common values of \(\varphi(n)\) and \(\sigma(m)\). I. Zbl 1265.11092Ford, Kevin; Pollack, Paul 2 2011 An arithmetic function arising from Carmichael’s conjecture. Zbl 1271.11092Luca, Florian; Pollack, Paul 2 2011 The error term in the count of abundant numbers. Zbl 1318.11004Kobayashi, Mitsuo; Pollack, Paul 1 2014 Besicovitch, bisection, and the normality of \(0.(1)(4)(9)(16)(25)\ldots\). Zbl 1327.11054Pollack, P.; Vandehey, J. 1 2015 On Mertens’ theorem for Beurling primes. Zbl 1305.11084Pollack, Paul 1 2013 The smallest inert prime in a cyclic number field of prime degree. Zbl 1300.11009Pollack, Paul 1 2013 Practical pretenders. Zbl 1274.11139Pollack, Paul; Thompson, Lola 1 2013 Sets of monotonicity for Euler’s totient function. Zbl 1348.11003Pollack, Paul; Pomerance, Carl; Treviño, Enrique 1 2013 On the parity of the number of multiplicative partitions and related problems. Zbl 1330.11061Pollack, Paul 1 2012 On the degrees of divisors of \(T^{n}-1\). Zbl 1282.11125Pollack, Paul; Thompson, Lola 1 2013 The smallest root of a polynomial congruence. Zbl 1480.11091Crişan, Vlad; Pollack, Paul 1 2020 Phi, primorials, and Poisson. Zbl 1453.11123Pollack, Paul; Pomerance, Carl 1 2020 Systoles of arithmetic hyperbolic surfaces and \(3\)-manifolds. Zbl 1396.57030Linowitz, Benjamin; McReynolds, D. B.; Pollack, Paul; Thompson, Lola 1 2017 Symmetric primes revisited. Zbl 1462.11070Banks, William; Pollack, Paul; Pomerance, Carl 1 2019 Twists of hyperelliptic curves by integers in progressions modulo \(p\). Zbl 1469.11214Krumm, David; Pollack, Paul 1 2020 A note on the least prime that splits completely in a nonabelian Galois number field. Zbl 1448.11204Ge, Zhenchao; Milinovich, Micah B.; Pollack, Paul 1 2019 Finding the four squares in Lagrange’s theorem. Zbl 1441.11078Pollack, Paul; Treviño, Enrique 1 2018 The exceptional set in the polynomial Goldbach problem. Zbl 1246.11184Pollack, Paul 1 2011 On relatively prime amicable pairs. Zbl 1360.11015Pollack, Paul 1 2015 The truth about torsion in the CM case. II. Zbl 1405.11074Clark, Pete L.; Pollack, Paul 1 2017 Dirichlet’s proof of the three-square theorem: an algorithmic perspective. Zbl 1412.11067Pollack, Paul; Schorn, Peter 1 2019 Finiteness theorems for perfect numbers and their kin. Zbl 1275.11011Pollack, Paul 1 2012 An elemental Erdős-Kac theorem for algebraic number fields. Zbl 1394.11067Pollack, Paul 1 2017 The representation function for sums of three squares along arithmetic progressions. Zbl 1411.11110Pollack, Paul 1 2016 Clustering of linear combinations of multiplicative functions. Zbl 1421.11079Lebowitz-Lockard, Noah; Pollack, Paul 1 2017 Clusters of primes with square-free translates. Zbl 1403.11060Baker, Roger C.; Pollack, Paul 1 2017 A remark on the number field analogue of Waring’s constant \(g(k)\). Zbl 1419.11115Pollack, Paul 1 2018 Typically bounding torsion. Zbl 1454.11114Clark, Pete L.; Milosevic, Marko; Pollack, Paul 1 2018 Anatomy of torsion in the CM case. Zbl 1422.11139Bourdon, Abbey; Clark, Pete L.; Pollack, Paul 1 2017 Arithmetic properties of polynomial specializations over finite fields. Zbl 1244.11098Pollack, Paul 1 2009 Variations on a theorem of Davenport concerning abundant numbers. Zbl 1295.11107Jennings, Emily; Pollack, Paul; Thompson, Lola 1 2014 Values of the Euler and Carmichael functions which are sums of three squares. Zbl 1236.11006Pollack, Paul 1 2011 The number of non-cyclic Sylow subgroups of the multiplicative group modulo \(n\). Zbl 1472.11260Pollack, Paul 1 2021 Multiplicative partitions of numbers with a large squarefree divisor. Zbl 1486.11120Pollack, Paul 1 2020 The number of non-cyclic Sylow subgroups of the multiplicative group modulo \(n\). Zbl 1472.11260Pollack, Paul 1 2021 A generalization of the Hardy-Ramanujan inequality and applications. Zbl 1468.11202Pollack, Paul 2 2020 On ordered factorizations into distinct parts. Zbl 1436.11114Lebowitz-Lockard, Noah; Pollack, Paul 2 2020 The smallest root of a polynomial congruence. Zbl 1480.11091Crişan, Vlad; Pollack, Paul 1 2020 Phi, primorials, and Poisson. Zbl 1453.11123Pollack, Paul; Pomerance, Carl 1 2020 Twists of hyperelliptic curves by integers in progressions modulo \(p\). Zbl 1469.11214Krumm, David; Pollack, Paul 1 2020 Multiplicative partitions of numbers with a large squarefree divisor. Zbl 1486.11120Pollack, Paul 1 2020 How often is Euler’s totient a perfect power? Zbl 1411.11092Pollack, Paul 3 2019 Small prime \(k\)th power residues for \(k=2,3,4\): a reciprocity laws approach. Zbl 1454.11008Benli, Kübra; Pollack, Paul 2 2019 A note on Golomb topologies. Zbl 1420.54050Clark, Pete L.; Lebowitz-Lockard, Noah; Pollack, Paul 2 2019 Popular subsets for Euler’s \(\varphi \)-function. Zbl 1426.11115Pollack, Paul 2 2019 Symmetric primes revisited. Zbl 1462.11070Banks, William; Pollack, Paul; Pomerance, Carl 1 2019 A note on the least prime that splits completely in a nonabelian Galois number field. Zbl 1448.11204Ge, Zhenchao; Milinovich, Micah B.; Pollack, Paul 1 2019 Dirichlet’s proof of the three-square theorem: an algorithmic perspective. Zbl 1412.11067Pollack, Paul; Schorn, Peter 1 2019 Divisor-sum fibers. Zbl 1410.11115Pollack, Paul; Pomerance, Carl; Thompson, Lola 5 2018 Counting and effective rigidity in algebra and geometry. Zbl 1423.53054Linowitz, Benjamin; McReynolds, D. B.; Pollack, Paul; Thompson, Lola 5 2018 Refinements of Lagrange’s four-square theorem. Zbl 1431.11053Goldmakher, Leo; Pollack, Paul 2 2018 The least prime quadratic nonresidue in a prescribed residue class mod 4. Zbl 1430.11006Pollack, Paul 2 2018 Waring’s problem for integral quaternions. Zbl 1442.11138Pollack, Paul 2 2018 Pursuing polynomial bounds on torsion. Zbl 1423.14162Clark, Pete L.; Pollack, Paul 2 2018 Finding the four squares in Lagrange’s theorem. Zbl 1441.11078Pollack, Paul; Treviño, Enrique 1 2018 A remark on the number field analogue of Waring’s constant \(g(k)\). Zbl 1419.11115Pollack, Paul 1 2018 Typically bounding torsion. Zbl 1454.11114Clark, Pete L.; Milosevic, Marko; Pollack, Paul 1 2018 Torsion subgroups of CM elliptic curves over odd degree number fields. Zbl 1405.11072Bourdon, Abbey; Pollack, Paul 7 2017 Extremal primes for elliptic curves with complex multiplication. Zbl 1419.11091James, Kevin; Pollack, Paul 5 2017 Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds. (Petits écarts entre idéaux premiers et spectres de longueurs de 3-variétés hyperboliques arithmétiques.) Zbl 1379.58016Linowitz, Benjamin; McReynolds, D. B.; Pollack, Paul; Thompson, Lola 4 2017 Bounds for the first several prime character nonresidues. Zbl 1427.11005Pollack, Paul 4 2017 Numbers divisible by a large shifted prime and large torsion subgroups of CM elliptic curves. Zbl 1405.11123McNew, Nathan; Pollack, Paul; Pomerance, Carl 3 2017 Counting perfect polynomials. Zbl 1409.11132Cengiz, U. Caner; Pollack, Paul; Treviño, Enrique 3 2017 The number of atoms in a primefree atomic domain. Zbl 1387.13043Clark, Pete L.; Gosavi, Saurabh; Pollack, Paul 2 2017 A simple proof of a theorem of Hajdu-Jarden-Narkiewicz. Zbl 1422.11224Pollack, Paul 2 2017 Systoles of arithmetic hyperbolic surfaces and \(3\)-manifolds. Zbl 1396.57030Linowitz, Benjamin; McReynolds, D. B.; Pollack, Paul; Thompson, Lola 1 2017 The truth about torsion in the CM case. II. Zbl 1405.11074Clark, Pete L.; Pollack, Paul 1 2017 An elemental Erdős-Kac theorem for algebraic number fields. Zbl 1394.11067Pollack, Paul 1 2017 Clustering of linear combinations of multiplicative functions. Zbl 1421.11079Lebowitz-Lockard, Noah; Pollack, Paul 1 2017 Clusters of primes with square-free translates. Zbl 1403.11060Baker, Roger C.; Pollack, Paul 1 2017 Anatomy of torsion in the CM case. Zbl 1422.11139Bourdon, Abbey; Clark, Pete L.; Pollack, Paul 1 2017 Some problems of Erdős on the sum-of-divisors function. Zbl 1365.11111Pollack, Paul; Pomerance, Carl 7 2016 A Titchmarsh divisor problem for elliptic curves. Zbl 1371.11103Pollack, Paul 7 2016 Bounded gaps between primes with a given primitive root. II. Zbl 1417.11146Baker, Roger C.; Pollack, Paul 3 2016 Digitally delicate primes. Zbl 1401.11130Hopper, Jackson; Pollack, Paul 2 2016 The representation function for sums of three squares along arithmetic progressions. Zbl 1411.11110Pollack, Paul 1 2016 Bounded gaps between primes in number fields and function fields. Zbl 1321.11098Castillo, Abel; Hall, Chris; Lemke Oliver, Robert J.; Pollack, Paul; Thompson, Lola 11 2015 The truth about torsion in the CM case. (La vérité sur la torsion dans le cas CM.) Zbl 1333.11051Clark, Pete L.; Pollack, Paul 5 2015 Arithmetic functions at consecutive shifted primes. Zbl 1327.11063Pollack, Paul; Thompson, Lola 5 2015 Palindromic sums of proper divisors. Zbl 1351.11007Pollack, Paul 4 2015 Some normal numbers generated by arithmetic functions. Zbl 1318.11096Pollack, Paul; Vandehey, Joseph 3 2015 Euler and the partial sums of the prime harmonic series. Zbl 1358.11107Pollack, Paul 3 2015 The average of the first invariant factor for reductions of CM elliptic curves mod \(p\). Zbl 1398.11088Freiberg, Tristan; Pollack, Paul 2 2015 Remarks on fibers of the sum-of-divisors function. Zbl 1390.11118Pollack, Paul 2 2015 The length spectra of arithmetic hyperbolic 3-manifolds and their totally geodesic surfaces. Zbl 1330.53053Linowitz, Benjamin; Meyer, Jeffrey S.; Pollack, Paul 2 2015 Besicovitch, bisection, and the normality of \(0.(1)(4)(9)(16)(25)\ldots\). Zbl 1327.11054Pollack, P.; Vandehey, J. 1 2015 On relatively prime amicable pairs. Zbl 1360.11015Pollack, Paul 1 2015 Bounded gaps between primes with a given primitive root. Zbl 1392.11073Pollack, Paul 11 2014 The primes that Euclid forgot. Zbl 1317.11015Pollack, Paul; Treviño, Enrique 4 2014 The smallest prime that splits completely in an abelian number field. Zbl 1294.11203Pollack, Paul 4 2014 Some arithmetic properties of the sum of proper divisors and the sum of prime divisors. Zbl 1368.11003Pollack, Paul 4 2014 Prime splitting in abelian number fields and linear combinations of Dirichlet characters. Zbl 1298.11082Pollack, Paul 4 2014 Averages of the number of points on elliptic curves. Zbl 1316.11046Martin, Greg; Pollack, Paul; Smith, Ethan 3 2014 Square values of Euler’s function. Zbl 1297.11125Pollack, Paul; Pomerance, Carl 2 2014 The error term in the count of abundant numbers. Zbl 1318.11004Kobayashi, Mitsuo; Pollack, Paul 1 2014 Variations on a theorem of Davenport concerning abundant numbers. Zbl 1295.11107Jennings, Emily; Pollack, Paul; Thompson, Lola 1 2014 Irreducible polynomials with several prescribed coefficients. Zbl 1331.11106Pollack, Paul 14 2013 On congruences of the form \(\sigma(n)\equiv a\pmod n\). Zbl 1271.11004Anavi, Aria; Pollack, Paul; Pomerance, Carl 5 2013 On the distribution of some integers related to perfect and amicable numbers. Zbl 1285.11009Pollack, Paul; Pomerance, Carl 3 2013 The average least character non-residue and further variations on a theme of Erdős. Zbl 1275.11007Martin, Greg; Pollack, Paul 2 2013 On Mertens’ theorem for Beurling primes. Zbl 1305.11084Pollack, Paul 1 2013 The smallest inert prime in a cyclic number field of prime degree. Zbl 1300.11009Pollack, Paul 1 2013 Practical pretenders. Zbl 1274.11139Pollack, Paul; Thompson, Lola 1 2013 Sets of monotonicity for Euler’s totient function. Zbl 1348.11003Pollack, Paul; Pomerance, Carl; Treviño, Enrique 1 2013 On the degrees of divisors of \(T^{n}-1\). Zbl 1282.11125Pollack, Paul; Thompson, Lola 1 2013 On perfect and near-perfect numbers. Zbl 1272.11013Pollack, Paul; Shevelev, Vladimir 8 2012 On common values of \(\varphi(n)\) and \(\sigma(m)\). II. Zbl 1279.11093Ford, Kevin; Pollack, Paul 4 2012 The average least quadratic nonresidue modulo \(m\) and other variations on a theme of Erdős. Zbl 1300.11008Pollack, Paul 4 2012 Prime-perfect numbers. Zbl 1271.11006Pollack, Paul; Pomerance, Carl 3 2012 On the parity of the number of multiplicative partitions and related problems. Zbl 1330.11061Pollack, Paul 1 2012 Finiteness theorems for perfect numbers and their kin. Zbl 1275.11011Pollack, Paul 1 2012 On the greatest common divisor of a number and its sum of divisors. Zbl 1286.11152Pollack, Paul 7 2011 On polynomial rings with a Goldbach property. Zbl 1206.13010Pollack, Paul 5 2011 On Dickson’s theorem concerning odd perfect numbers. Zbl 1225.11009Pollack, Paul 5 2011 Perfect numbers with identical digits. Zbl 1253.11007Pollack, Paul 3 2011 Multiperfect numbers with identical digits. Zbl 1218.11006Luca, Florian; Pollack, Paul 3 2011 Long gaps between deficient numbers. Zbl 1211.11006Pollack, Paul 3 2011 On Hilbert’s solution of Waring’s problem. Zbl 1276.11161Pollack, Paul 3 2011 The Möbius transform and the infinitude of primes. Zbl 1229.11011Pollack, Paul 2 2011 On common values of \(\varphi(n)\) and \(\sigma(m)\). I. Zbl 1265.11092Ford, Kevin; Pollack, Paul 2 2011 An arithmetic function arising from Carmichael’s conjecture. Zbl 1271.11092Luca, Florian; Pollack, Paul 2 2011 The exceptional set in the polynomial Goldbach problem. Zbl 1246.11184Pollack, Paul 1 2011 Values of the Euler and Carmichael functions which are sums of three squares. Zbl 1236.11006Pollack, Paul 1 2011 Revisiting Gauss’s analogue of the prime number theorem for polynomials over a finite field. Zbl 1201.11109Pollack, Paul 7 2010 Not always buried deep. A second course in elementary number theory. Zbl 1187.11001Pollack, Paul 22 2009 On the distribution of sociable numbers. Zbl 1241.11120Kobayashi, Mitsuo; Pollack, Paul; Pomerance, Carl 5 2009 Arithmetic properties of polynomial specializations over finite fields. Zbl 1244.11098Pollack, Paul 1 2009 Simultaneous prime specializations of polynomials over finite fields. Zbl 1221.11239Pollack, Paul 11 2008 A polynomial analogue of the twin prime conjecture. Zbl 1155.11058Pollack, Paul 6 2008 On a conjecture of Beard, O’Connell and West concerning perfect polynomials. Zbl 1130.11070Gallardo, Luis; Pollack, Paul; Rahavandrainy, Olivier 5 2008 An explicit approach to hypothesis H for polynomials over a finite field. Zbl 1187.11046Pollack, Paul 3 2008 all cited Publications top 5 cited Publications all top 5 Cited by 315 Authors 42 Pollack, Paul 14 Pomerance, Carl Bernard 10 Thompson, Lola 8 Luca, Florian 7 Clark, Peter Louis 7 Linowitz, Benjamin 6 Bary-Soroker, Lior 6 Gallardo, Luis Henri 5 Lebowitz-Lockard, Noah 5 Shparlinski, Igor E. 4 James, Kevin 4 McReynolds, David Ben 4 Rahavandrainy, Olivier 4 Treviño, Enrique 4 Troupe, Lee 3 Booker, Andrew R. 3 Bourdon, Abbey 3 Pan, Hao 3 Weingartner, Andreas J. 2 Agwu, Anthony 2 Benli, Kübra 2 Broughan, Kevin A. 2 Chattopadhyay, Jaitra 2 Cojocaru, Alina Carmen 2 Dèbes, Pierre 2 Defant, Colin 2 Filaseta, Michael A. 2 Freiberg, Tristan 2 Garcia, Stephan Ramon 2 Giri, Sumit 2 Gomez-Perez, Domingo 2 Gužvić, Tomislav 2 Harris, Phillip 2 Kannan, Siddarth 2 Lemke Oliver, Robert J. 2 Li, Huixi 2 Lichtman, Jared Duker 2 Ma, Shilin 2 Maynard, James 2 McGown, Kevin J. 2 Meyer, Jeffrey S. 2 Milošević, Marko S. 2 Moree, Pieter 2 Nguyen Ngoc Dong Quan 2 Porritt, Sam 2 Rhodes, Devon 2 Stix, Jakob 2 Thorne, Frank 2 Vaughan, Robert C. 2 Vogt, Isabel 2 Wanner, Mathias 2 Yuan, Pingzhi 1 Aletheia-Zomlefer, Soren Laing 1 Aloui, Karam 1 Anavi, Aria 1 Anderson, Daniel D. 1 Andrade, Julio Cesar 1 Bae, Sunghan 1 Baker, Roger C. 1 Balasubramanian, Ramachandran 1 Bank, Efrat 1 Banks, William D. 1 Beckwith, Olivia 1 Bell, Renee 1 Bender, Andreas O. 1 Berend, Daniel 1 Bergelson, Vitaly 1 Bertók, Csanád 1 Bhaskar, Siddharth 1 Blakestad, Clifford 1 Bodin, Arnaud 1 Bombardier, Kevin W. 1 Bordellès, Olivier 1 Bosma, Wieb 1 Bravo, Eric F. 1 Bravo, Jhon Jairo 1 Burrin, Claire 1 Bushmelëv, Evgeniĭ Yu. 1 Carella, Nelson A. 1 Castillo, Abel 1 Cengiz, U. Caner 1 Cerchia, Michael 1 Chen, Fengjuan 1 Chen, Shichao 1 Chen, Wen 1 Chen, Yonggao 1 Cheng, Qi 1 Cho, Ilwoo 1 Cho, Peter Jaehyun 1 Chou, Michael 1 Chou, Wunseng 1 Chow, Sam 1 Chu, Hùng Việt 1 Chum, K. 1 Cohen, Peter 1 Collas, Benjamin 1 Cordwell, Katherine 1 Couteau, Geoffroy 1 Coutinho, S. C. 1 Cowan, Alexander ...and 215 more Authors all top 5 Cited in 76 Serials 36 Journal of Number Theory 18 Proceedings of the American Mathematical Society 13 Integers 13 International Journal of Number Theory 12 Finite Fields and their Applications 11 Acta Arithmetica 8 The Ramanujan Journal 7 Bulletin of the Australian Mathematical Society 7 Mathematics of Computation 5 Advances in Mathematics 5 Journal de Théorie des Nombres de Bordeaux 5 Journal of Integer Sequences 5 Research in Number Theory 4 Transactions of the American Mathematical Society 3 Colloquium Mathematicum 3 Mathematische Zeitschrift 3 Mathematika 3 Research in the Mathematical Sciences 2 American Mathematical Monthly 2 Canadian Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Acta Mathematica Hungarica 2 Forum Mathematicum 2 Glasnik Matematički. Serija III 2 Portugaliae Mathematica. Nova Série 2 Cryptography and Communications 2 Journal of Siberian Federal University. Mathematics & Physics 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics Magazine 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Journal of the Mathematical Society of Japan 1 Mathematics of Operations Research 1 Quaestiones Mathematicae 1 Journal of Complexity 1 IMRN. International Mathematics Research Notices 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Bulletin des Sciences Mathématiques 1 Theory of Computing Systems 1 Annals of Combinatorics 1 Fractional Calculus & Applied Analysis 1 LMS Journal of Computation and Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Journal of Algebra and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 International Electronic Journal of Algebra (IEJA) 1 European Journal of Pure and Applied Mathematics 1 Asian-European Journal of Mathematics 1 Japanese Journal of Mathematics. 3rd Series 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 Forum of Mathematics, Sigma 1 Journal of Mathematics 1 Journal of Logical and Algebraic Methods in Programming 1 Transactions of the American Mathematical Society. Series B 1 Korean Journal of Mathematics all top 5 Cited in 32 Fields 221 Number theory (11-XX) 13 Algebraic geometry (14-XX) 11 Field theory and polynomials (12-XX) 9 Combinatorics (05-XX) 8 Commutative algebra (13-XX) 6 Computer science (68-XX) 5 Differential geometry (53-XX) 4 Group theory and generalizations (20-XX) 4 Manifolds and cell complexes (57-XX) 4 Numerical analysis (65-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Sequences, series, summability (40-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX) Citations by Year