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Obituary: Graham Everest 1957–2010. (English) Zbl 1274.01098

With list of publications (81 items).
1. The distribution of normal integral generators, Seminar on Number Theory, 1981/1982, Exp. No. 43, 8 (Univ. Bordeaux I, Talence, 1982). Zbl 0508.12014
2. The distribution of normal integral generators in tame extensions of \(\mathbb Q\), PhD Thesis, King’s College, London, 1983.
3. Diophantine approximation and the distribution of normal integral generators, J. London Math. Soc. (2) 28 (1983) 227–237. Zbl 0521.12006
4. Independence in the distribution of normal integral generators, Quart. J. Math. Oxford Ser. (2) 36 (1985) 405–412. Zbl 0599.12007
5. Diophantine approximation and Dirichlet series, Math. Proc. Cambridge Philos. Soc. 97 (1985) 195–210. Zbl 0578.12006
6. (with A. R. Camina and T. M. Gagen) Enumerating nonsoluble groups – a conjecture of John G. Thompson, Bull. London Math. Soc. 18 (1986) 265–268. Zbl 0597.20015
7. The divisibility of normal integral generators, Math. Z. 191 (1986) 397–404. Zbl 0592.12008
8. Galois generators and the subspace theorem, Manuscripta Math. 57 (1987) 451–467. Zbl 0611.12008
9. Angular distribution of units in abelian group rings – an application to Galois-module theory, J. reine angew. Math. 375/376 (1987) 24–41.
10. Some meromorphic functions associated to the S-unit equation, Séminaire de Théorie des Nombres, 1987–1988 (Talence, 1987–1988), Exp. No. 12, 10 (Univ. Bordeaux I, Talence, 1988).
11. A “Hardy-Littlewood” approach to the norm form equation, Math. Proc. Cambridge Philos. Soc. 104 (1988) 421–427.
12. Units in abelian group rings and meromorphic functions, Illinois J. Math. 33 (1989) 542–553.
13. A “Hardy-Littlewood” approach to the S-unit equation, Compos. Math. 70 (1989) 101–118.
14. Root numbers – the tame case, Representation theory and number theory in connection with the local Langlands conjecture (Augsburg, 1985), Contemporary Mathematics 86 (American Mathematical Society, Providence, RI, 1989) 109–116.
15. A new invariant for tame, abelian extensions, J. London Math. Soc. (2) 41 (1990) 393–407.
16. Counting the values taken by sums of S-units, J. Number Theory 35 (1990) 269–286.
17. The S-unit equation and Dirichlet series, Number theory, vol. II (Budapest, 1987), Colloquia Mathematica Societatis János Bolyai 51 (North-Holland, Amsterdam, 1990) 659–669.
18. (with T. M. Gagen) Measures associated to the inverse regulator of a number field, Arch. Math. (Basel) 59 (1992) 420–426.
19. Applications of the \(p\)-adic subspace theorem, p-adic methods and their applications, Oxford Science Publications (Oxford University Press, New York, 1992) 33–56.
20. Addendum: “On the solution of the norm-form equation”, Amer. J. Math. 114 (1992) 787–788.
21. On the canonical height for the algebraic unit group, J. reine angew. Math. 432 (1992) 57–68.
22. On the solution of the norm-form equation, Amer. J. Math. 114 (1992) 667–682.
23. \(p\)-primary parts of unit traces and the \(p\)-adic regulator, Acta Arith. 62 (1992) 11–23.
24. Uniform distribution and lattice point counting, J. Aust. Math. Soc. Ser. A 53 (1992) 39–50.
25. (with J. H. Loxton) Counting algebraic units with bounded height, J. Number Theory 44 (1993) 222–227.
26. An asymptotic formula implied by the Leopoldt conjecture, Quart. J. Math. Oxford Ser. (2) 45 (1994) 19–28.
27. Corrigenda to: “Uniform distribution and lattice point counting”, J. Aust. Math. Soc. Ser. A 56 (1994) 144.
28. On the proximity of algebraic units to divisors, J. Number Theory 50 (1995) 233–250.
29. On the \(p\)-adic integral of an exponential polynomial, Bull. London Math. Soc. 27 (1995) 334–340.
30. Mean values of algebraic linear forms, Proc. London Math. Soc. (3) 70 (1995) 529–555.
31. The mean value of a sum of S-units, J. London Math. Soc. (2) 51 (1995) 417–428.
32. Estimating Mahler’s measure, Bull. Aust. Math. Soc. 51 (1995) 145–151.
33. (with V. Chothi and T. Ward) Oriented local entropies for expansive actions by commuting automorphisms, Israel J. Math. 93 (1996) 281–301.
34. (with I. E. Shparlinski) Divisor sums of generalised exponential polynomials, Canad. Math. Bull. 39 (1996) 35–46.
35. (with B. N. Fhlathúin) The elliptic Mahler measure, Math. Proc. Cambridge Philos. Soc. 120 (1996) 13–25.
36. (with V. Chothi and T. Ward) S-integer dynamical systems: periodic points, J. reine angew. Math. 489 (1997) 99–132.
37. (with A. J. van der Poorten) Factorisation in the ring of exponential polynomials, Proc. Amer. Math. Soc. 125 (1997) 1293–1298.
38. (with K. Györy) Counting solutions of decomposable form equations, Acta Arith. 79 (1997) 173–191.
39. (with T. Ward) A dynamical interpretation of the global canonical height on an elliptic curve, Experiment. Math. 7 (1998) 305–316.
40. (with C. Pinner) Bounding the elliptic Mahler measure. II, J. London Math. Soc. (2) 58 (1998) 1–8.
41. Measuring the height of a polynomial, Math. Intelligencer 20 (1998) 9–16.
42. Counting generators of normal integral bases, Amer. J. Math. 120 (1998) 1007–1018.
43. (with T. Ward) Heights of polynomials and entropy in algebraic dynamics, Universitext (Springer London Ltd, London, 1999).
44. (with I. E. Shparlinski) Counting the values taken by algebraic exponential polynomials, Proc. Amer. Math. Soc. 127 (1999) 665–675.
45. On the elliptic analogue of Jensen’s formula, J. London Math. Soc. (2) 59 (1999) 21–36.
46. Explicit local heights, New York J. Math. 5 (1999) 115–120.
47. (with P. D’Ambros, R. Miles and T. Ward) Dynamical systems arising from elliptic curves, Colloq. Math. 84/85 (2000) 95–107. Dedicated to the memory of Anzelm Iwanik.
48. (with C. Pinner) Corrigendum: Bounding the elliptic Mahler measure. II J. London Math. Soc. (2) 62 (2000) 640.
49. (with M. Einsiedler and T. Ward) Primes in sequences associated to polynomials (after Lehmer), LMS J. Comput. Math. 3 (2000) 125–139.
50. (with T. Ward) The canonical height of an algebraic point on an elliptic curve, New York J. Math. 6 (2000) 331–342.
51. (with M. Einsiedler and T. Ward) Entropy and the canonical height, J. Number Theory 91 (2001) 256–273. Zbl 0994.11022
52. (with T. Ward) Primes in divisibility sequences, Cubo Mat. Educ. 3 (2001) 245–259. Zbl 1082.11004
53. (with M. Einsiedler and T. Ward) Primes in elliptic divisibility sequences, LMS J. Comput. Math. 4 (2001) 1–13. Zbl 1037.11089
54. (with A. J. van der Poorten, Y. Puri and T. Ward) Integer sequences and periodic points, J. Integer Seq. 5 (2002) 10. Article 02.2.3. Zbl 1026.11022
55. Contributed essay in On the seventh day (ed. John Ashton, Master Books, Green Forest, AR, 2002).
56. (with I. Gaál, K. Györy and C. Röttger) On the spatial distribution of solutions of decomposable form equations, Math. Comp. 71 (2002) 633–648. Zbl 0990.11013
57. (with P. Rogers and T. Ward) A higher-rank Mersenne problem, Algorithmic number theory (Sydney, 2002), Lecture Notes in Computer Science 2369 (Springer, Berlin, 2002) 95–107. Zbl 1071.11072
58. (with A. van der Poorten, I. Shparlinski and T. Ward) Recurrence sequences, Mathematical Surveys and Monographs 104 (American Mathematical Society, Providence, RI, 2003). Zbl 1033.11006
59. (with M. Einsiedler and T. Ward) Morphic heights and periodic points, Number theory (New York, 2003) (Springer, New York, 2004) 167–177. Zbl 1048.11091
60. (with M. Einsiedler and T. Ward) Periodic points for good reduction maps on curves, Geom. Dedicata 106 (2004) 29–41. Zbl 1117.11035
61. (with V. Miller and N. Stephens) Primes generated by elliptic curves, Proc. Amer. Math. Soc. 132 (2004) 955–963. Zbl 1043.11051
62. (with T. Ward) An introduction to number theory, Graduate Texts in Mathematics 232 (Springer-Verlag London Ltd, London, 2005). Zbl 1089.11001
63. (with H. King) Prime powers in elliptic divisibility sequences, Math. Comp. 74 (2005) 2061–2071. Zbl 1080.11043
64. (with I. E. Shparlinski) Prime divisors of sequences associated to elliptic curves, Glasg. Math. J. 47 (2005) 115–122. Zbl 1066.11023
65. (with K. Győry) On some arithmetical properties of solutions of decomposable form equations, Math. Proc. Cambridge Philos. Soc. 139 (2005) 27–40. Zbl 1090.11020
66. (with V. Stangoe and T. Ward) Orbit counting with an isometric direction, Algebraic and topological dynamics, Contemporary Mathematics 385, (American Mathematical Society, Providence, RI, 2005) 293–302. Zbl 1115.37015
67. (with G. McLaren and T. Ward) Primitive divisors of elliptic divisibility sequences, J. Number Theory 118 (2006) 71–89. Zbl 1093.11038
68. (with S. Stevens, D. Tamsett and T. Ward) Primes generated by recurrence sequences, Amer. Math. Monthly 114 (2007) 417–431. Zbl 1246.11026
69. (with J. Reynolds and S. Stevens) On the denominators of rational points on elliptic curves, Bull. London Math. Soc. 39 (2007) 762–770. Zbl 1131.11034
70. (with R. Miles, S. Stevens and T. Ward) Orbit-counting in non-hyperbolic dynamical systems, J. reine angew. Math. 608 (2007) 155–182. Zbl 1137.37006
71. (with P. Ingram, V. Mahé and S. Stevens) The uniform primality conjecture for elliptic curves, Acta Arith. 134 (2008) 157–181. Zbl 1246.11117
72. (with G. Harman) On primitive divisors of \(n^2 + b\), Number theory and polynomials, London Mathematical Society Lecture Note Series 352 (Cambridge University Press, Cambridge, 2008) 142–154. Zbl 1266.11099
73. (with K. Eisenträger) Descent on elliptic curves and Hilbert’s tenth problem, Proc. Amer. Math. Soc. 137 (2009) 1951–1959. Zbl 1267.11120
74. (with V. Mahé) A generalization of Siegel’s theorem and Hall’s conjecture, Experiment. Math. 18 (2009) 1–9. Zbl 1253.11064
75. (with P. Ingram and S. Stevens) Primitive divisors on twists of Fermat’s cubic, LMS J. Comput. Math. 12 (2009) 54–81. Zbl 1252.11049
76. (with C. Röttger and T. Ward) The continuing story of zeta, Math. Intelligencer 31 (2009) 13–17. Zbl 1228.11128
77. (with O. Phuksuwan and S. Stevens) The uniform primality conjecture for the twisted fermat cubic, Preprint, 2010, arXiv:1003.2131 [math.NT].
78. (with R. Miles, S. Stevens and T. Ward) Dirichlet series for finite combinatorial rank dynamics, Trans. Amer. Math. Soc. 362 (2010) 199–227. Zbl 1195.37014
79. (with J. Griffiths) Dual rectangles, Math. Spectrum 43 (2010/11) 110–114. 80. (with K. Eisenträger and A. Shlapentokh) Hilbert’s tenth problem and Mazur’s conjectures in complementary subrings of number fields, Math. Res. Lett. 18 (2011) 1141–1162. Zbl 1294.11088
81. (with T. Ward) A repulsion motif in Diophantine equations, Amer. Math. Monthly 118 (2011) 584–598. Zbl 1270.11058.

MSC:

01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

Everest, Graham
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