## Pinner, Christopher G.

Compute Distance To:
 Author ID: pinner.christopher-g Published as: Pinner, Christopher; Pinner, Christopher G.; Pinner, C. G. more...less
 Documents Indexed: 50 Publications since 1993 Co-Authors: 29 Co-Authors with 43 Joint Publications 639 Co-Co-Authors
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### Co-Authors

 7 single-authored 15 Cochrane, Todd 8 Pigno, Vincent 6 Mossinghoff, Michael J. 4 Borwein, Peter Benjamin 4 Vaaler, Jeffrey D. 3 Desilva, Dilum 3 Ishak, M. I. M. 2 Alsulmi, Badria 2 Beaucoup, Franck 2 Bourgain, Jean 2 Boyd, David William 2 Coffelt, Jeremy 2 Paulhus, Jennifer 2 Rosenhouse, Jason 2 Wiles, Benjamin 1 Boerkoel, Ton 1 Borwein, David 1 Borwein, Jonathan Michael 1 Cipra, James Arthur 1 Clem, Stian 1 Hart, Derrick N. 1 Ostergaard, Misty 1 Paudel, Bishnu 1 Pritsker, Igor E. 1 Saradha, N. 1 Smyth, Christopher J. 1 Spencer, Craig V. 1 van der Poorten, Alfred J. 1 Wolczuk, Dan
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### Serials

 7 Acta Arithmetica 5 Mathematics of Computation 5 Journal of Number Theory 5 Journal de Théorie des Nombres de Bordeaux 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 The Ramanujan Journal 2 The Quarterly Journal of Mathematics 2 Integers 2 Moscow Journal of Combinatorics and Number Theory 1 Rocky Mountain Journal of Mathematics 1 Canadian Journal of Mathematics 1 Mathematica Slovaca 1 Michigan Mathematical Journal 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Tamkang Journal of Mathematics 1 SIAM Journal on Discrete Mathematics 1 Experimental Mathematics 1 Journal of Combinatorics and Number Theory
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### Fields

 46 Number theory (11-XX) 7 Functions of a complex variable (30-XX) 5 Field theory and polynomials (12-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

42 Publications have been cited 296 times in 177 Documents Cited by Year
Using Stepanov’s method for exponential sums involving rational functions. Zbl 1093.11058
Cochrane, Todd; Pinner, Christopher
2006
A further refinement of Mordell’s bound on exponential sums. Zbl 1082.11050
Cochrane, Todd; Coffelt, Jeremy; Pinner, Christopher
2005
Multiple roots of $$[-1,1]$$ power series. Zbl 0922.30004
Beaucoup, Franck; Borwein, Peter; Boyd, David W.; Pinner, Christopher
1998
On sums of fractional parts $$\{na+y\}$$. Zbl 0886.11045
Pinner, Christopher
1997
Explicit bounds on monomial and binomial exponential sums. Zbl 1269.11069
Cochrane, Todd; Pinner, Christopher
2011
An improved Mordell type bound for exponential sums. Zbl 1068.11053
Cochrane, Todd; Pinner, Christopher
2005
Polynomials with $$\{0,+1,-1\}$$ coefficients and a root close to a given point. Zbl 0901.11022
Borwein, Peter; Pinner, Christopher
1997
Perturbing polynomials with all their roots on the unit circle. Zbl 0909.12003
Mossinghoff, Michael J.; Pinner, Christopher G.; Vaaler, Jeffrey D.
1998
Stepanov’s method applied to binomial exponential sums. Zbl 1056.11046
Cochrane, Todd; Pinner, Christopher
2003
The Lind Lehmer constant for $$\mathbb Z_p^n$$. Zbl 1294.11185
Desilva, Dilum; Pinner, Christopher
2014
Heilbronn’s conjecture on Waring’s number (mod $$p$$). Zbl 1185.11025
Cipra, James Arthur; Cochrane, Todd; Pinner, Christopher
2007
Sum-product estimates applied to Waring’s problem mod $$p$$. Zbl 1205.11108
Cochrane, Todd; Pinner, Christopher
2008
More on inhomogeneous Diophantine approximation. Zbl 1014.11043
Pinner, Christopher G.
2001
Power series with restricted coefficients and a root on a given ray. Zbl 0889.30006
Beaucoup, Franck; Borwein, Peter; Boyd, David W.; Pinner, Christopher
1998
Bounds on exponential sums and the polynomial Waring problem mod $$p$$. Zbl 1106.11032
Cochrane, Todd; Pinner, Christopher; Rosenhouse, Jason
2003
On the parity of $$k$$-th powers modulo $$p$$. A generalization of a problem of Lehmer. Zbl 1239.11106
Bourgain, Jean; Cochrane, Todd; Paulhus, Jennifer; Pinner, Christopher
2011
Monic integer Chebyshev problem. Zbl 1054.11018
Borwein, P. B.; Pinner, C. G.; Pritsker, I. E.
2003
The Lind-Lehmer constant for cyclic groups of order less than 892,371,480. Zbl 1314.11064
Pigno, Vincent; Pinner, Christopher
2014
A system of simultaneous congruences arising from trinomial exponential sums. Zbl 1184.11012
Cochrane, Todd; Coffelt, Jeremy; Pinner, Christopher
2006
Bounds on fewnomial exponential sums over $$\mathbb Z_p$$. Zbl 1241.11098
Cochrane, Todd; Pinner, Christopher
2010
Double roots of $$[-1,1]$$ power series and related matters. Zbl 0920.30008
Pinner, Christopher
1999
The Lind-Lehmer constant for certain $$p$$-groups. Zbl 1410.11119
De Silva, Dilum; Mossinghoff, Michael J.; Pigno, Vincent; Pinner, Christopher
2019
The number of irreducible factors of a polynomial. I. Zbl 0787.11045
Pinner, Christopher G.; Vaaler, Jeffrey D.
1993
Decimations of $$\ell$$-sequences and permutations of even residues mod $$p$$. Zbl 1213.11006
Bourgain, Jean; Cochrane, Todd; Paulhus, Jennifer; Pinner, Christopher
2009
Convergence of Madelung-like lattice sums. Zbl 0932.11064
Borwein, David; Borwein, Jonathan M.; Pinner, Christopher
1998
Minimal group determinants and the Lind-Lehmer problem for dihedral groups. Zbl 1434.11212
Boerkoel, Ton; Pinner, Christopher
2018
The Lind-Lehmer constant for 3-groups. Zbl 1431.11117
Clem, Stian; Pinner, Christopher
2018
Waring’s number for large subgroups of $$\mathbb Z_p^*$$. Zbl 1314.11051
Cochrane, Todd; Hart, Derrick; Pinner, Christopher; Spencer, Craig
2014
Lower bounds for heights in cyclotomic extensions. Zbl 1203.11072
Ishak, M. I. M.; Mossinghoff, Michael J.; Pinner, Christopher; Wiles, Benjamin
2010
Evaluating prime power Gauss and Jacobi sums. Zbl 1378.11081
Ostergaard, Misty; Pigno, Vincent; Pinner, Christopher
2017
The Lind-Lehmer constant for $$\mathbb{Z}_2^r\times\mathbb{Z}_4^s$$. Zbl 1456.11204
Mossinghoff, Michael J.; Pigno, Vincent; Pinner, Christopher
2019
On the one-sided boundedness of sums of fractional parts $$(\{ n\alpha+ \gamma\}-\frac12)$$. Zbl 1049.11086
Pinner, Christopher G.
2000
Sparse polynomial exponential sums. Zbl 1158.11332
Cochrane, Todd; Pinner, Christopher; Rosenhouse, Jason
2003
$$(p-1)$$th roots of unity mod $$p^n$$, generalized Heilbronn sums, Lind-Lehmer constants, and Fermat quotients. Zbl 1404.11004
Cochrane, Todd; De Silva, Dilum; Pinner, Christopher
2017
The integer group determinants for the symmetric group of degree four. Zbl 1451.11115
Pinner, Christopher
2019
Repeated values of the divisor function. Zbl 0890.11028
Pinner, Christopher G.
1997
Integer group determinants for small groups. Zbl 1451.11116
Pinner, Christopher; Smyth, Christopher
2020
On the product of heights of algebraic numbers summing to real numbers. Zbl 1206.11134
Garza, J.; Ishak, M. I. M.; Pinner, C.
2010
On the inhomogeneous Hall’s ray of period-one quadratics. Zbl 1028.11043
Pinner, Christopher G.; Wolczuk, Dan
2001
Binomial character sums modulo prime powers. Zbl 1416.11130
Pigno, Vincent; Pinner, Christopher
2016
Bounding the elliptic Mahler measure. Zbl 0918.11017
Pinner, Christopher
1998
Twisted monomial Gauss sums modulo prime powers. Zbl 1368.11091
Pigno, Vincent; Pinner, Christopher
2014
Integer group determinants for small groups. Zbl 1451.11116
Pinner, Christopher; Smyth, Christopher
2020
The Lind-Lehmer constant for certain $$p$$-groups. Zbl 1410.11119
De Silva, Dilum; Mossinghoff, Michael J.; Pigno, Vincent; Pinner, Christopher
2019
The Lind-Lehmer constant for $$\mathbb{Z}_2^r\times\mathbb{Z}_4^s$$. Zbl 1456.11204
Mossinghoff, Michael J.; Pigno, Vincent; Pinner, Christopher
2019
The integer group determinants for the symmetric group of degree four. Zbl 1451.11115
Pinner, Christopher
2019
Minimal group determinants and the Lind-Lehmer problem for dihedral groups. Zbl 1434.11212
Boerkoel, Ton; Pinner, Christopher
2018
The Lind-Lehmer constant for 3-groups. Zbl 1431.11117
Clem, Stian; Pinner, Christopher
2018
Evaluating prime power Gauss and Jacobi sums. Zbl 1378.11081
Ostergaard, Misty; Pigno, Vincent; Pinner, Christopher
2017
$$(p-1)$$th roots of unity mod $$p^n$$, generalized Heilbronn sums, Lind-Lehmer constants, and Fermat quotients. Zbl 1404.11004
Cochrane, Todd; De Silva, Dilum; Pinner, Christopher
2017
Binomial character sums modulo prime powers. Zbl 1416.11130
Pigno, Vincent; Pinner, Christopher
2016
The Lind Lehmer constant for $$\mathbb Z_p^n$$. Zbl 1294.11185
Desilva, Dilum; Pinner, Christopher
2014
The Lind-Lehmer constant for cyclic groups of order less than 892,371,480. Zbl 1314.11064
Pigno, Vincent; Pinner, Christopher
2014
Waring’s number for large subgroups of $$\mathbb Z_p^*$$. Zbl 1314.11051
Cochrane, Todd; Hart, Derrick; Pinner, Christopher; Spencer, Craig
2014
Twisted monomial Gauss sums modulo prime powers. Zbl 1368.11091
Pigno, Vincent; Pinner, Christopher
2014
Explicit bounds on monomial and binomial exponential sums. Zbl 1269.11069
Cochrane, Todd; Pinner, Christopher
2011
On the parity of $$k$$-th powers modulo $$p$$. A generalization of a problem of Lehmer. Zbl 1239.11106
Bourgain, Jean; Cochrane, Todd; Paulhus, Jennifer; Pinner, Christopher
2011
Bounds on fewnomial exponential sums over $$\mathbb Z_p$$. Zbl 1241.11098
Cochrane, Todd; Pinner, Christopher
2010
Lower bounds for heights in cyclotomic extensions. Zbl 1203.11072
Ishak, M. I. M.; Mossinghoff, Michael J.; Pinner, Christopher; Wiles, Benjamin
2010
On the product of heights of algebraic numbers summing to real numbers. Zbl 1206.11134
Garza, J.; Ishak, M. I. M.; Pinner, C.
2010
Decimations of $$\ell$$-sequences and permutations of even residues mod $$p$$. Zbl 1213.11006
Bourgain, Jean; Cochrane, Todd; Paulhus, Jennifer; Pinner, Christopher
2009
Sum-product estimates applied to Waring’s problem mod $$p$$. Zbl 1205.11108
Cochrane, Todd; Pinner, Christopher
2008
Heilbronn’s conjecture on Waring’s number (mod $$p$$). Zbl 1185.11025
Cipra, James Arthur; Cochrane, Todd; Pinner, Christopher
2007
Using Stepanov’s method for exponential sums involving rational functions. Zbl 1093.11058
Cochrane, Todd; Pinner, Christopher
2006
A system of simultaneous congruences arising from trinomial exponential sums. Zbl 1184.11012
Cochrane, Todd; Coffelt, Jeremy; Pinner, Christopher
2006
A further refinement of Mordell’s bound on exponential sums. Zbl 1082.11050
Cochrane, Todd; Coffelt, Jeremy; Pinner, Christopher
2005
An improved Mordell type bound for exponential sums. Zbl 1068.11053
Cochrane, Todd; Pinner, Christopher
2005
Stepanov’s method applied to binomial exponential sums. Zbl 1056.11046
Cochrane, Todd; Pinner, Christopher
2003
Bounds on exponential sums and the polynomial Waring problem mod $$p$$. Zbl 1106.11032
Cochrane, Todd; Pinner, Christopher; Rosenhouse, Jason
2003
Monic integer Chebyshev problem. Zbl 1054.11018
Borwein, P. B.; Pinner, C. G.; Pritsker, I. E.
2003
Sparse polynomial exponential sums. Zbl 1158.11332
Cochrane, Todd; Pinner, Christopher; Rosenhouse, Jason
2003
More on inhomogeneous Diophantine approximation. Zbl 1014.11043
Pinner, Christopher G.
2001
On the inhomogeneous Hall’s ray of period-one quadratics. Zbl 1028.11043
Pinner, Christopher G.; Wolczuk, Dan
2001
On the one-sided boundedness of sums of fractional parts $$(\{ n\alpha+ \gamma\}-\frac12)$$. Zbl 1049.11086
Pinner, Christopher G.
2000
Double roots of $$[-1,1]$$ power series and related matters. Zbl 0920.30008
Pinner, Christopher
1999
Multiple roots of $$[-1,1]$$ power series. Zbl 0922.30004
Beaucoup, Franck; Borwein, Peter; Boyd, David W.; Pinner, Christopher
1998
Perturbing polynomials with all their roots on the unit circle. Zbl 0909.12003
Mossinghoff, Michael J.; Pinner, Christopher G.; Vaaler, Jeffrey D.
1998
Power series with restricted coefficients and a root on a given ray. Zbl 0889.30006
Beaucoup, Franck; Borwein, Peter; Boyd, David W.; Pinner, Christopher
1998
Convergence of Madelung-like lattice sums. Zbl 0932.11064
Borwein, David; Borwein, Jonathan M.; Pinner, Christopher
1998
Bounding the elliptic Mahler measure. Zbl 0918.11017
Pinner, Christopher
1998
On sums of fractional parts $$\{na+y\}$$. Zbl 0886.11045
Pinner, Christopher
1997
Polynomials with $$\{0,+1,-1\}$$ coefficients and a root close to a given point. Zbl 0901.11022
Borwein, Peter; Pinner, Christopher
1997
Repeated values of the divisor function. Zbl 0890.11028
Pinner, Christopher G.
1997
The number of irreducible factors of a polynomial. I. Zbl 0787.11045
Pinner, Christopher G.; Vaaler, Jeffrey D.
1993
all top 5

### Cited by 185 Authors

 18 Pinner, Christopher G. 14 Shparlinski, Igor E. 9 Cochrane, Todd 9 Shutov, Anton V. 8 Zhang, Wenpeng 7 Mossinghoff, Michael J. 6 Pigno, Vincent 5 Katz, Daniel J. 4 Berenhaut, Kenneth S. 4 Erdélyi, Tamás 4 Han, Di 4 Hare, Kevin G. 4 Li, Xiaoxue 4 Solomyak, Boris 4 Wang, Tingting 3 Bourgain, Jean 3 Cohen, Stephen D. 3 Corless, Robert Malcolm 3 Dubickas, Artūras 3 Jankauskas, Jonas 3 Langevin, Philippe 3 Macourt, Simon 3 Mak, Kit-Ho 3 Ostafe, Alina 3 Pinner, Chris 3 Pritsker, Igor E. 3 Samuels, Charles L. 3 Vaaler, Jeffrey D. 3 Winterhof, Arne 2 Alnaser, Ala’ Jamil 2 Alsulmi, Badria 2 Bertazzon, Jean-Francois 2 Chan, Eunice Y. S. 2 Davletyarova, E. P. 2 Everest, Graham Robert 2 Gonzalez-Vega, Laureano 2 Kapetanakis, Giorgos 2 Krasil’shchikov, V. V. 2 Pan, Xiaowei 2 Richardson, Christophcr J. 2 Sendra, Juan Rafael 2 Sendra, Juana 2 Sharma, Hariom 2 Sharma, Rajendra Kumar 2 Shkredov, Il’ya Dmitrievich 2 Smyth, Christopher J. 2 Thornton, Steven E. 2 Voloch, José Felipe 2 Zaharescu, Alexandru 2 Zhukova, Alla Adol’fovna 1 Allen, Edward E. 1 Arakelian, Nazar 1 Arce-Nazario, Rafael A. 1 Aubry, Yves 1 Ayyad, Anwar 1 Baker, Simon 1 Banks, William D. 1 Barnsley, Michael Fielding 1 Beaucoup, Franck 1 Berthé, Valérie 1 Boerkoel, Ton 1 Bombieri, Enrico 1 Bonanno, Claudio 1 Borges, Herivelto 1 Borwein, Peter Benjamin 1 Boyd, David William 1 Bray, Harrison 1 Breuillard, Emmanuel 1 Budarina, Natalia Viktorovna 1 Bugeaud, Yann 1 Burazin, Andrijana 1 Cao, Xiwang 1 Castro, Francis Noel 1 Chang, Leran 1 Chen, Zhuoyu 1 Cipra, James Arthur 1 Clem, Stian 1 Coffelt, Jeremy 1 Crandall, Richard E. 1 Damanik, David 1 Davis, Diana 1 Delecroix, Vincent 1 Desilva, Dilum 1 Di, Han 1 Dienstfrey, Andrew M. 1 Doche, Christophe 1 Dresden, Gregory P. B. 1 Drungilas, Paulius 1 Duan, Ran 1 Einsiedler, Manfred Leopold 1 Elsholtz, Christian 1 Eroğlu, Kemal Ilgar 1 Fan, Ying Wai 1 Fili, Paul A. 1 Foley, John David 1 Fraser, Sam J. 1 Fukshansky, Lenny 1 Gaivão, José Pedro 1 Garcia-Morchon, Oscar 1 Hardin, Douglas P. ...and 85 more Authors
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### Cited in 80 Serials

 18 Journal of Number Theory 11 Mathematics of Computation 7 Experimental Mathematics 6 Journal de Théorie des Nombres de Bordeaux 5 Rocky Mountain Journal of Mathematics 5 Proceedings of the American Mathematical Society 5 Finite Fields and their Applications 5 Journal of Inequalities and Applications 4 Open Mathematics 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Physics 3 Mathematical Notes 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Arithmetica 3 Ergodic Theory and Dynamical Systems 3 Applicable Algebra in Engineering, Communication and Computing 3 Russian Mathematics 3 St. Petersburg Mathematical Journal 3 Integers 3 International Journal of Number Theory 2 Israel Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Lithuanian Mathematical Journal 2 Advances in Mathematics 2 Czechoslovak Mathematical Journal 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Combinatorial Theory. Series A 2 Chinese Annals of Mathematics. Series B 2 SIAM Journal on Discrete Mathematics 2 Designs, Codes and Cryptography 2 Journal of Mathematical Sciences (New York) 2 The Ramanujan Journal 2 LMS Journal of Computation and Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Advances in Difference Equations 2 Chebyshevskiĭ Sbornik 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 The Mathematical Intelligencer 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Theoretical Computer Science 1 Acta Mathematica Hungarica 1 Journal of Complexity 1 Journal of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Indagationes Mathematicae. New Series 1 Journal of Knot Theory and its Ramifications 1 Abstract and Applied Analysis 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 Journal of Algebra and its Applications 1 Analysis in Theory and Applications 1 Frontiers of Mathematics in China 1 Advances in High Energy Physics 1 ACM Communications in Computer Algebra 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 Bulletin of Mathematical Sciences 1 Moscow Journal of Combinatorics and Number Theory 1 Journal of Fractal Geometry
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### Cited in 34 Fields

 143 Number theory (11-XX) 16 Field theory and polynomials (12-XX) 16 Functions of a complex variable (30-XX) 12 Dynamical systems and ergodic theory (37-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Measure and integration (28-XX) 6 Numerical analysis (65-XX) 6 Computer science (68-XX) 5 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Information and communication theory, circuits (94-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)