# zbMATH — the first resource for mathematics

## Pollack, Paul

Compute Distance To:
 Author ID: pollack.paul Published as: Pollack, Paul; Pollack, P. External Links: MGP
 Documents Indexed: 127 Publications since 2008, including 3 Books
all top 5

#### Co-Authors

 58 single-authored 14 Pomerance, Carl Bernard 9 Thompson, Lola 8 Clark, Peter Louis 6 Treviño, Enrique 4 Linowitz, Benjamin 4 Luca, Florian 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 Roy, Akash Singha 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

 13 Journal of Number Theory 9 American Mathematical Monthly 8 Proceedings of the American Mathematical Society 7 Integers 6 International Journal of Number Theory 5 Acta Arithmetica 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 Colloquium Mathematicum 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 Mathematische Zeitschrift 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 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

 122 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 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH Open

88 Publications have been cited 283 times in 215 Documents Cited by Year
Not always buried deep. A second course in elementary number theory. Zbl 1187.11001
Pollack, Paul
2009
Irreducible polynomials with several prescribed coefficients. Zbl 1331.11106
Pollack, Paul
2013
Bounded gaps between primes with a given primitive root. Zbl 1392.11073
Pollack, Paul
2014
Simultaneous prime specializations of polynomials over finite fields. Zbl 1221.11239
Pollack, Paul
2008
On perfect and near-perfect numbers. Zbl 1272.11013
2012
Bounded gaps between primes in number fields and function fields. Zbl 1321.11098
Castillo, Abel; Hall, Chris; Lemke Oliver, Robert J.; Pollack, Paul; Thompson, Lola
2015
A Titchmarsh divisor problem for elliptic curves. Zbl 1371.11103
Pollack, Paul
2016
Revisiting Gauss’s analogue of the prime number theorem for polynomials over a finite field. Zbl 1201.11109
Pollack, Paul
2010
On the greatest common divisor of a number and its sum of divisors. Zbl 1286.11152
Pollack, Paul
2011
Some problems of Erdős on the sum-of-divisors function. Zbl 1365.11111
Pollack, Paul; Pomerance, Carl
2016
A polynomial analogue of the twin prime conjecture. Zbl 1155.11058
Pollack, Paul
2008
On a conjecture of Beard, O’Connell and West concerning perfect polynomials. Zbl 1130.11070
Gallardo, Luis; Pollack, Paul; Rahavandrainy, Olivier
2008
On congruences of the form $$\sigma(n)\equiv a\pmod n$$. Zbl 1271.11004
Anavi, Aria; Pollack, Paul; Pomerance, Carl
2013
On the distribution of sociable numbers. Zbl 1241.11120
Kobayashi, Mitsuo; Pollack, Paul; Pomerance, Carl
2009
On Dickson’s theorem concerning odd perfect numbers. Zbl 1225.11009
Pollack, Paul
2011
Arithmetic functions at consecutive shifted primes. Zbl 1327.11063
Pollack, Paul; Thompson, Lola
2015
Torsion subgroups of CM elliptic curves over odd degree number fields. Zbl 1405.11072
Bourdon, Abbey; Pollack, Paul
2017
Palindromic sums of proper divisors. Zbl 1351.11007
Pollack, Paul
2015
Bounds for the first several prime character nonresidues. Zbl 1427.11005
Pollack, Paul
2017
Prime splitting in abelian number fields and linear combinations of Dirichlet characters. Zbl 1298.11082
Pollack, Paul
2014
On polynomial rings with a Goldbach property. Zbl 1206.13010
Pollack, Paul
2011
The primes that Euclid forgot. Zbl 1317.11015
Pollack, Paul; Treviño, Enrique
2014
The truth about torsion in the CM case. (La vérité sur la torsion dans le cas CM.) Zbl 1333.11051
Clark, Pete L.; Pollack, Paul
2015
The smallest prime that splits completely in an abelian number field. Zbl 1294.11203
Pollack, Paul
2014
Divisor-sum fibers. Zbl 1410.11115
Pollack, Paul; Pomerance, Carl; Thompson, Lola
2018
Counting and effective rigidity in algebra and geometry. Zbl 1423.53054
Linowitz, Benjamin; McReynolds, D. B.; Pollack, Paul; Thompson, Lola
2018
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 1379.58016
Linowitz, Benjamin; McReynolds, D. B.; Pollack, Paul; Thompson, Lola
2017
Numbers divisible by a large shifted prime and large torsion subgroups of CM elliptic curves. Zbl 1405.11123
McNew, Nathan; Pollack, Paul; Pomerance, Carl
2017
Extremal primes for elliptic curves with complex multiplication. Zbl 1419.11091
James, Kevin; Pollack, Paul
2017
Averages of the number of points on elliptic curves. Zbl 1316.11046
Martin, Greg; Pollack, Paul; Smith, Ethan
2014
Prime-perfect numbers. Zbl 1271.11006
Pollack, Paul; Pomerance, Carl
2012
The average least quadratic nonresidue modulo $$m$$ and other variations on a theme of Erdős. Zbl 1300.11008
Pollack, Paul
2012
An explicit approach to hypothesis H for polynomials over a finite field. Zbl 1187.11046
Pollack, Paul
2008
Long gaps between deficient numbers. Zbl 1211.11006
Pollack, Paul
2011
On Hilbert’s solution of Waring’s problem. Zbl 1276.11161
Pollack, Paul
2011
Perfect numbers with identical digits. Zbl 1253.11007
Pollack, Paul
2011
Some normal numbers generated by arithmetic functions. Zbl 1318.11096
Pollack, Paul; Vandehey, Joseph
2015
Euler and the partial sums of the prime harmonic series. Zbl 1358.11107
Pollack, Paul
2015
Some arithmetic properties of the sum of proper divisors and the sum of prime divisors. Zbl 1368.11003
Pollack, Paul
2014
Bounded gaps between primes with a given primitive root. II. Zbl 1417.11146
Baker, Roger C.; Pollack, Paul
2016
On the distribution of some integers related to perfect and amicable numbers. Zbl 1285.11009
Pollack, Paul; Pomerance, Carl
2013
On common values of $$\varphi(n)$$ and $$\sigma(m)$$. II. Zbl 1279.11093
Ford, Kevin; Pollack, Paul
2012
How often is Euler’s totient a perfect power? Zbl 1411.11092
Pollack, Paul
2019
Small prime $$k$$th power residues for $$k=2,3,4$$: a reciprocity laws approach. Zbl 1454.11008
Benli, Kübra; Pollack, Paul
2019
Counting perfect polynomials. Zbl 1409.11132
Cengiz, U. Caner; Pollack, Paul; Treviño, Enrique
2017
Square values of Euler’s function. Zbl 1297.11125
Pollack, Paul; Pomerance, Carl
2014
A simple proof of a theorem of Hajdu-Jarden-Narkiewicz. Zbl 1422.11224
Pollack, Paul
2017
An arithmetic function arising from Carmichael’s conjecture. Zbl 1271.11092
Luca, Florian; Pollack, Paul
2011
The average least character non-residue and further variations on a theme of Erdős. Zbl 1275.11007
Martin, Greg; Pollack, Paul
2013
Multiperfect numbers with identical digits. Zbl 1218.11006
Luca, Florian; Pollack, Paul
2011
The Möbius transform and the infinitude of primes. Zbl 1229.11011
Pollack, Paul
2011
The average of the first invariant factor for reductions of CM elliptic curves mod $$p$$. Zbl 1398.11088
Freiberg, Tristan; Pollack, Paul
2015
Remarks on fibers of the sum-of-divisors function. Zbl 1390.11118
Pollack, Paul
2015
The length spectra of arithmetic hyperbolic 3-manifolds and their totally geodesic surfaces. Zbl 1330.53053
Linowitz, Benjamin; Meyer, Jeffrey S.; Pollack, Paul
2015
Waring’s problem for integral quaternions. Zbl 1442.11138
Pollack, Paul
2018
The least prime quadratic nonresidue in a prescribed residue class mod 4. Zbl 1430.11006
Pollack, Paul
2018
Pursuing polynomial bounds on torsion. Zbl 1423.14162
Clark, Pete L.; Pollack, Paul
2018
A note on Golomb topologies. Zbl 1420.54050
Clark, Pete L.; Lebowitz-Lockard, Noah; Pollack, Paul
2019
On common values of $$\varphi(n)$$ and $$\sigma(m)$$. I. Zbl 1265.11092
Ford, Kevin; Pollack, Paul
2011
The number of atoms in a primefree atomic domain. Zbl 1387.13043
Clark, Pete L.; Gosavi, Saurabh; Pollack, Paul
2017
On the degrees of divisors of $$T^{n}-1$$. Zbl 1282.11125
Pollack, Paul; Thompson, Lola
2013
Practical pretenders. Zbl 1274.11139
Pollack, Paul; Thompson, Lola
2013
On Mertens’ theorem for Beurling primes. Zbl 1305.11084
Pollack, Paul
2013
An elemental Erdős-Kac theorem for algebraic number fields. Zbl 1394.11067
Pollack, Paul
2017
Anatomy of torsion in the CM case. Zbl 1422.11139
Bourdon, Abbey; Clark, Pete L.; Pollack, Paul
2017
Clusters of primes with square-free translates. Zbl 1403.11060
Baker, Roger C.; Pollack, Paul
2017
The representation function for sums of three squares along arithmetic progressions. Zbl 1411.11110
Pollack, Paul
2016
Arithmetic properties of polynomial specializations over finite fields. Zbl 1244.11098
Pollack, Paul
2009
Finiteness theorems for perfect numbers and their kin. Zbl 1275.11011
Pollack, Paul
2012
Values of the Euler and Carmichael functions which are sums of three squares. Zbl 1236.11006
Pollack, Paul
2011
The exceptional set in the polynomial Goldbach problem. Zbl 1246.11184
Pollack, Paul
2011
Besicovitch, bisection, and the normality of $$0.(1)(4)(9)(16)(25)\ldots$$. Zbl 1327.11054
Pollack, P.; Vandehey, J.
2015
On relatively prime amicable pairs. Zbl 1360.11015
Pollack, Paul
2015
Digitally delicate primes. Zbl 1401.11130
Hopper, Jackson; Pollack, Paul
2016
The error term in the count of abundant numbers. Zbl 1318.11004
Kobayashi, Mitsuo; Pollack, Paul
2014
Symmetric primes revisited. Zbl 1462.11070
Banks, William; Pollack, Paul; Pomerance, Carl
2019
Variations on a theorem of Davenport concerning abundant numbers. Zbl 1295.11107
Jennings, Emily; Pollack, Paul; Thompson, Lola
2014
Systoles of arithmetic hyperbolic surfaces and $$3$$-manifolds. Zbl 1396.57030
Linowitz, Benjamin; McReynolds, D. B.; Pollack, Paul; Thompson, Lola
2017
Refinements of Lagrange’s four-square theorem. Zbl 1431.11053
Goldmakher, Leo; Pollack, Paul
2018
A remark on the number field analogue of Waring’s constant $$g(k)$$. Zbl 1419.11115
Pollack, Paul
2018
Typically bounding torsion. Zbl 1454.11114
Clark, Pete L.; Milosevic, Marko; Pollack, Paul
2018
A note on the least prime that splits completely in a nonabelian Galois number field. Zbl 1448.11204
Ge, Zhenchao; Milinovich, Micah B.; Pollack, Paul
2019
Popular subsets for Euler’s $$\varphi$$-function. Zbl 1426.11115
Pollack, Paul
2019
Finding the four squares in Lagrange’s theorem. Zbl 1441.11078
Pollack, Paul; Treviño, Enrique
2018
The truth about torsion in the CM case. II. Zbl 1405.11074
Clark, Pete L.; Pollack, Paul
2017
Clustering of linear combinations of multiplicative functions. Zbl 1421.11079
Lebowitz-Lockard, Noah; Pollack, Paul
2017
Sets of monotonicity for Euler’s totient function. Zbl 1348.11003
Pollack, Paul; Pomerance, Carl; Treviño, Enrique
2013
On ordered factorizations into distinct parts. Zbl 1436.11114
Lebowitz-Lockard, Noah; Pollack, Paul
2020
On ordered factorizations into distinct parts. Zbl 1436.11114
Lebowitz-Lockard, Noah; Pollack, Paul
2020
How often is Euler’s totient a perfect power? Zbl 1411.11092
Pollack, Paul
2019
Small prime $$k$$th power residues for $$k=2,3,4$$: a reciprocity laws approach. Zbl 1454.11008
Benli, Kübra; Pollack, Paul
2019
A note on Golomb topologies. Zbl 1420.54050
Clark, Pete L.; Lebowitz-Lockard, Noah; Pollack, Paul
2019
Symmetric primes revisited. Zbl 1462.11070
Banks, William; Pollack, Paul; Pomerance, Carl
2019
A note on the least prime that splits completely in a nonabelian Galois number field. Zbl 1448.11204
Ge, Zhenchao; Milinovich, Micah B.; Pollack, Paul
2019
Popular subsets for Euler’s $$\varphi$$-function. Zbl 1426.11115
Pollack, Paul
2019
Divisor-sum fibers. Zbl 1410.11115
Pollack, Paul; Pomerance, Carl; Thompson, Lola
2018
Counting and effective rigidity in algebra and geometry. Zbl 1423.53054
Linowitz, Benjamin; McReynolds, D. B.; Pollack, Paul; Thompson, Lola
2018
Waring’s problem for integral quaternions. Zbl 1442.11138
Pollack, Paul
2018
The least prime quadratic nonresidue in a prescribed residue class mod 4. Zbl 1430.11006
Pollack, Paul
2018
Pursuing polynomial bounds on torsion. Zbl 1423.14162
Clark, Pete L.; Pollack, Paul
2018
Refinements of Lagrange’s four-square theorem. Zbl 1431.11053
Goldmakher, Leo; Pollack, Paul
2018
A remark on the number field analogue of Waring’s constant $$g(k)$$. Zbl 1419.11115
Pollack, Paul
2018
Typically bounding torsion. Zbl 1454.11114
Clark, Pete L.; Milosevic, Marko; Pollack, Paul
2018
Finding the four squares in Lagrange’s theorem. Zbl 1441.11078
Pollack, Paul; Treviño, Enrique
2018
Torsion subgroups of CM elliptic curves over odd degree number fields. Zbl 1405.11072
Bourdon, Abbey; Pollack, Paul
2017
Bounds for the first several prime character nonresidues. Zbl 1427.11005
Pollack, Paul
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 1379.58016
Linowitz, Benjamin; McReynolds, D. B.; Pollack, Paul; Thompson, Lola
2017
Numbers divisible by a large shifted prime and large torsion subgroups of CM elliptic curves. Zbl 1405.11123
McNew, Nathan; Pollack, Paul; Pomerance, Carl
2017
Extremal primes for elliptic curves with complex multiplication. Zbl 1419.11091
James, Kevin; Pollack, Paul
2017
Counting perfect polynomials. Zbl 1409.11132
Cengiz, U. Caner; Pollack, Paul; Treviño, Enrique
2017
A simple proof of a theorem of Hajdu-Jarden-Narkiewicz. Zbl 1422.11224
Pollack, Paul
2017
The number of atoms in a primefree atomic domain. Zbl 1387.13043
Clark, Pete L.; Gosavi, Saurabh; Pollack, Paul
2017
An elemental Erdős-Kac theorem for algebraic number fields. Zbl 1394.11067
Pollack, Paul
2017
Anatomy of torsion in the CM case. Zbl 1422.11139
Bourdon, Abbey; Clark, Pete L.; Pollack, Paul
2017
Clusters of primes with square-free translates. Zbl 1403.11060
Baker, Roger C.; Pollack, Paul
2017
Systoles of arithmetic hyperbolic surfaces and $$3$$-manifolds. Zbl 1396.57030
Linowitz, Benjamin; McReynolds, D. B.; Pollack, Paul; Thompson, Lola
2017
The truth about torsion in the CM case. II. Zbl 1405.11074
Clark, Pete L.; Pollack, Paul
2017
Clustering of linear combinations of multiplicative functions. Zbl 1421.11079
Lebowitz-Lockard, Noah; Pollack, Paul
2017
A Titchmarsh divisor problem for elliptic curves. Zbl 1371.11103
Pollack, Paul
2016
Some problems of Erdős on the sum-of-divisors function. Zbl 1365.11111
Pollack, Paul; Pomerance, Carl
2016
Bounded gaps between primes with a given primitive root. II. Zbl 1417.11146
Baker, Roger C.; Pollack, Paul
2016
The representation function for sums of three squares along arithmetic progressions. Zbl 1411.11110
Pollack, Paul
2016
Digitally delicate primes. Zbl 1401.11130
Hopper, Jackson; Pollack, Paul
2016
Bounded gaps between primes in number fields and function fields. Zbl 1321.11098
Castillo, Abel; Hall, Chris; Lemke Oliver, Robert J.; Pollack, Paul; Thompson, Lola
2015
Arithmetic functions at consecutive shifted primes. Zbl 1327.11063
Pollack, Paul; Thompson, Lola
2015
Palindromic sums of proper divisors. Zbl 1351.11007
Pollack, Paul
2015
The truth about torsion in the CM case. (La vérité sur la torsion dans le cas CM.) Zbl 1333.11051
Clark, Pete L.; Pollack, Paul
2015
Some normal numbers generated by arithmetic functions. Zbl 1318.11096
Pollack, Paul; Vandehey, Joseph
2015
Euler and the partial sums of the prime harmonic series. Zbl 1358.11107
Pollack, Paul
2015
The average of the first invariant factor for reductions of CM elliptic curves mod $$p$$. Zbl 1398.11088
Freiberg, Tristan; Pollack, Paul
2015
Remarks on fibers of the sum-of-divisors function. Zbl 1390.11118
Pollack, Paul
2015
The length spectra of arithmetic hyperbolic 3-manifolds and their totally geodesic surfaces. Zbl 1330.53053
Linowitz, Benjamin; Meyer, Jeffrey S.; Pollack, Paul
2015
Besicovitch, bisection, and the normality of $$0.(1)(4)(9)(16)(25)\ldots$$. Zbl 1327.11054
Pollack, P.; Vandehey, J.
2015
On relatively prime amicable pairs. Zbl 1360.11015
Pollack, Paul
2015
Bounded gaps between primes with a given primitive root. Zbl 1392.11073
Pollack, Paul
2014
Prime splitting in abelian number fields and linear combinations of Dirichlet characters. Zbl 1298.11082
Pollack, Paul
2014
The primes that Euclid forgot. Zbl 1317.11015
Pollack, Paul; Treviño, Enrique
2014
The smallest prime that splits completely in an abelian number field. Zbl 1294.11203
Pollack, Paul
2014
Averages of the number of points on elliptic curves. Zbl 1316.11046
Martin, Greg; Pollack, Paul; Smith, Ethan
2014
Some arithmetic properties of the sum of proper divisors and the sum of prime divisors. Zbl 1368.11003
Pollack, Paul
2014
Square values of Euler’s function. Zbl 1297.11125
Pollack, Paul; Pomerance, Carl
2014
The error term in the count of abundant numbers. Zbl 1318.11004
Kobayashi, Mitsuo; Pollack, Paul
2014
Variations on a theorem of Davenport concerning abundant numbers. Zbl 1295.11107
Jennings, Emily; Pollack, Paul; Thompson, Lola
2014
Irreducible polynomials with several prescribed coefficients. Zbl 1331.11106
Pollack, Paul
2013
On congruences of the form $$\sigma(n)\equiv a\pmod n$$. Zbl 1271.11004
Anavi, Aria; Pollack, Paul; Pomerance, Carl
2013
On the distribution of some integers related to perfect and amicable numbers. Zbl 1285.11009
Pollack, Paul; Pomerance, Carl
2013
The average least character non-residue and further variations on a theme of Erdős. Zbl 1275.11007
Martin, Greg; Pollack, Paul
2013
On the degrees of divisors of $$T^{n}-1$$. Zbl 1282.11125
Pollack, Paul; Thompson, Lola
2013
Practical pretenders. Zbl 1274.11139
Pollack, Paul; Thompson, Lola
2013
On Mertens’ theorem for Beurling primes. Zbl 1305.11084
Pollack, Paul
2013
Sets of monotonicity for Euler’s totient function. Zbl 1348.11003
Pollack, Paul; Pomerance, Carl; Treviño, Enrique
2013
On perfect and near-perfect numbers. Zbl 1272.11013
2012
Prime-perfect numbers. Zbl 1271.11006
Pollack, Paul; Pomerance, Carl
2012
The average least quadratic nonresidue modulo $$m$$ and other variations on a theme of Erdős. Zbl 1300.11008
Pollack, Paul
2012
On common values of $$\varphi(n)$$ and $$\sigma(m)$$. II. Zbl 1279.11093
Ford, Kevin; Pollack, Paul
2012
Finiteness theorems for perfect numbers and their kin. Zbl 1275.11011
Pollack, Paul
2012
On the greatest common divisor of a number and its sum of divisors. Zbl 1286.11152
Pollack, Paul
2011
On Dickson’s theorem concerning odd perfect numbers. Zbl 1225.11009
Pollack, Paul
2011
On polynomial rings with a Goldbach property. Zbl 1206.13010
Pollack, Paul
2011
Long gaps between deficient numbers. Zbl 1211.11006
Pollack, Paul
2011
On Hilbert’s solution of Waring’s problem. Zbl 1276.11161
Pollack, Paul
2011
Perfect numbers with identical digits. Zbl 1253.11007
Pollack, Paul
2011
An arithmetic function arising from Carmichael’s conjecture. Zbl 1271.11092
Luca, Florian; Pollack, Paul
2011
Multiperfect numbers with identical digits. Zbl 1218.11006
Luca, Florian; Pollack, Paul
2011
The Möbius transform and the infinitude of primes. Zbl 1229.11011
Pollack, Paul
2011
On common values of $$\varphi(n)$$ and $$\sigma(m)$$. I. Zbl 1265.11092
Ford, Kevin; Pollack, Paul
2011
Values of the Euler and Carmichael functions which are sums of three squares. Zbl 1236.11006
Pollack, Paul
2011
The exceptional set in the polynomial Goldbach problem. Zbl 1246.11184
Pollack, Paul
2011
Revisiting Gauss’s analogue of the prime number theorem for polynomials over a finite field. Zbl 1201.11109
Pollack, Paul
2010
Not always buried deep. A second course in elementary number theory. Zbl 1187.11001
Pollack, Paul
2009
On the distribution of sociable numbers. Zbl 1241.11120
Kobayashi, Mitsuo; Pollack, Paul; Pomerance, Carl
2009
Arithmetic properties of polynomial specializations over finite fields. Zbl 1244.11098
Pollack, Paul
2009
Simultaneous prime specializations of polynomials over finite fields. Zbl 1221.11239
Pollack, Paul
2008
A polynomial analogue of the twin prime conjecture. Zbl 1155.11058
Pollack, Paul
2008
On a conjecture of Beard, O’Connell and West concerning perfect polynomials. Zbl 1130.11070
Gallardo, Luis; Pollack, Paul; Rahavandrainy, Olivier
2008
An explicit approach to hypothesis H for polynomials over a finite field. Zbl 1187.11046
Pollack, Paul
2008
all top 5

#### Cited by 281 Authors

 39 Pollack, Paul 14 Pomerance, Carl Bernard 10 Thompson, Lola 8 Luca, Florian 6 Bary-Soroker, Lior 6 Clark, Peter Louis 6 Linowitz, Benjamin 5 Gallardo, Luis Henri 5 Shparlinski, Igor E. 4 Lebowitz-Lockard, Noah 4 McReynolds, David Ben 4 Rahavandrainy, Olivier 4 Treviño, Enrique 4 Troupe, Lee 3 Booker, Andrew R. 3 Bourdon, Abbey 3 James, Kevin 3 Pan, Hao 3 Weingartner, Andreas J. 2 Benli, Kübra 2 Broughan, Kevin A. 2 Chattopadhyay, Jaitra 2 Cojocaru, Alina Carmen 2 Defant, Colin 2 Freiberg, Tristan 2 Garcia, Stephan Ramon 2 Giri, Sumit 2 Gomez-Perez, Domingo 2 Gužvić, Tomislav 2 Lemke Oliver, Robert J. 2 Ma, Shilin 2 Maynard, James 2 McGown, Kevin J. 2 Moree, Pieter 2 Nguyen Ngoc Dong Quan 2 Porritt, Sam 2 Rhodes, Devon 2 Thorne, Frank 2 Vaughan, Robert C. 2 Vogt, Isabel 2 Wanner, Mathias 2 Yuan, Pingzhi 1 Agwu, Anthony 1 Aletheia-Zomlefer, Soren Laing 1 Aloui, Karam 1 Anavi, Aria 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 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, Wunseng 1 Chow, Sam 1 Chu, Hùng Việt 1 Chum, K. 1 Cohen, Peter 1 Cordwell, Katherine 1 Coutinho, S. C. 1 Cowan, Alexander 1 Croot, Ernie 1 Dai, Lixia 1 Dèbes, Pierre 1 Debruyne, Gregory 1 Delbourgo, Daniel 1 DeWitt, Meghan 1 Downarowicz, Tomasz 1 Dubickas, Artūras 1 Dunn, Alexander 1 Dutta, Parama 1 Dymek, Aurelia 1 Eikmeier, Nicole 1 Ejder, Özlem 1 Entin, Alexei 1 Epstein, Alyssa 1 Faure, Henri ...and 181 more Authors
all top 5

#### Cited in 71 Serials

 36 Journal of Number Theory 16 Proceedings of the American Mathematical Society 13 International Journal of Number Theory 12 Finite Fields and their Applications 10 Integers 9 Acta Arithmetica 7 Bulletin of the Australian Mathematical Society 7 Mathematics of Computation 5 Advances in Mathematics 5 The Ramanujan Journal 4 Transactions of the American Mathematical Society 4 Journal de Théorie des Nombres de Bordeaux 4 Journal of Integer Sequences 4 Research in Number Theory 3 Mathematika 3 Research in the Mathematical Sciences 2 Canadian Journal of Mathematics 2 Colloquium Mathematicum 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Portugaliae Mathematica. Nova Série 2 Journal of Siberian Federal University. Mathematics & Physics 1 American Mathematical Monthly 1 Communications in Algebra 1 Israel Journal of Mathematics 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 Canadian Mathematical Bulletin 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 Acta Mathematica Hungarica 1 Journal of Complexity 1 Forum Mathematicum 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 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 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 Cryptography and Communications 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
all top 5

#### Cited in 30 Fields

 197 Number theory (11-XX) 11 Algebraic geometry (14-XX) 10 Field theory and polynomials (12-XX) 8 Combinatorics (05-XX) 6 Commutative algebra (13-XX) 5 Computer science (68-XX) 4 Differential geometry (53-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) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-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 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)