High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams. Selected papers from the international conference on number theory, Banff, AB, Canada, May 24--30, 2003. (Q1889644)

The articles of this volume will be reviewed individually. The volume also contains the text to a song `The streets of Alberta' by Duncan A. Buell (sung to the tune of `The streets of Laredo'), p. xi, a photo of Hugh Cowie Williams (on the occasion of his 60th birthday), a group photo and an Appendix by Alf van der Poorten and Andreas Stein entitled `Advice to referees of submissions to \textit{High primes and misdemeanors} ', p. 391--392. Indexed articles: \textit{Agashe, Amod; Lauter, Kristin; Venkatesan, Ramarathnam}, Constructing elliptic curves with a known number of points over a prime field, 1-17 [Zbl 1102.11031] \textit{Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M.}, On a generalization of the radix representation -- a survey, 19-27 [Zbl 1135.11007] \textit{Banks, William D.; Friedlander, John B.; Pomerance, Carl; Shparlinski, Igor E.}, Multiplicative structure of values of the Euler function, 29-47 [Zbl 1099.11055] \textit{Banks, William D.; Shparlinski, Igor E.}, Congruences and exponential sums with the Euler function, 49-59 [Zbl 1110.11032] \textit{Baumert, Leonard D.; Gordon, Daniel M.}, On the existence of cyclic difference sets with small parameters, 61-68 [Zbl 1065.05022] \textit{Bernstein, Daniel J.}, Doubly focused enumeration of locally square polynomial values, 69-76 [Zbl 1098.11062] \textit{Bosma, Wieb}, Cubic reciprocity and explicit primality tests for \(h\cdot 3^k\pm1\), 77-89 [Zbl 1103.11039] \textit{Brent, Richard P.; Zimmermann, Paul}, Algorithms for finding almost irreducible and almost primitive trinomials, 91-102 [Zbl 1087.11075] \textit{Brillhart, John}, Commentary on Lucas' test, 103-109 [Zbl 1093.11002] \textit{Buchmann, Johannes; Takagi, Tsuyoshi; Vollmer, Ulrich}, Number field cryptography, 111-121 [Zbl 1073.94012] \textit{Buell, Duncan A.; Devarkal, S.; Wake, Heather A.}, Reconfigurable computing machines and their applications in computational number theory, 123-148 [Zbl 1161.68302] \textit{Buhler, Joe; Pomerance, Carl; Robertson, Leanne}, Heuristics for class numbers of prime-power real cyclotomic fields, 149-157 [Zbl 1106.11039] \textit{Cohen, Henri}, Counting \(A_4\) and \(S_4\) number fields with given resolvent cubic, 159-168 [Zbl 1197.11140] \textit{Dilcher, Karl; Knauer, Joshua}, On a conjecture of Feit and Thompson, 169-178 [Zbl 1102.11070] \textit{García, Mariano; Pedersen, Jan Munch; te Riele, Herman}, Amicable pairs, a survey, 179-196 [Zbl 1098.11004] \textit{Granville, Andrew}, On the research contributions of Hugh C. Williams, 197-216 [Zbl 1099.01508] \textit{Grundman, H. G.; Lippincott, L. E.}, Hilbert modular fourfolds of arithmetic genus one, 217-226 [Zbl 1098.11030] \textit{Herrmann, E.; Walsh, P. G.}, Values of ternary recurrence sequences and torsion on certain curves arising from the work of Hugh Williams, 227-235 [Zbl 1087.11008] \textit{Hernández, Santos; Luca, Florian}, Divisibility of exponents of class groups of pure cubic number fields, 237-244 [Zbl 1090.11070] \textit{Holden, Joshua; Moree, Pieter}, New conjectures and results for small cycles of the discrete logarithm, 245-254 [Zbl 1100.11005] \textit{Jacobson, Michael jun.; Menezes, Alfred; Stein, Andreas}, Hyperelliptic curves and cryptography, 255-282 [Zbl 1098.94023] \textit{Louboutin, Stéphane R.}, Remarks on S. Chowla's hypothesis implying that \(L(s,\chi )>0\) for \(s>0\) and for real characters \(\chi\), 283-291 [Zbl 1112.11039] \textit{Müller, Siguna}, On the computation of cube roots modulo \(p\), 293-304 [Zbl 1089.11069] \textit{Patterson, Roger D.; van der Poorten, Alfred J.}, Jeepers, creepers, \(\ldots\), 305-316 [Zbl 1152.11344] \textit{Rubin, Karl; Silverberg, Alice}, Algebraic tori in cryptography, 317-326 [Zbl 1073.94014] \textit{Sorenson, Jonathan P.}, An analysis of the generalized binary GCD algorithm, 327-340 [Zbl 1097.11062] \textit{Teske, Edlyn}, An elliptic curve trapdoor system. (Extended abstract), 341-352 [Zbl 1073.94016] \textit{van der Poorten, Alfred J.}, Periodic continued fractions and elliptic curves, 353-365 [Zbl 1069.11022] \textit{Wagstaff, Samuel S. jun.}, The Cunningham Project, 367-378 [Zbl 1095.11056] \textit{Weng, Annegret}, Extensions and improvements for the CM method for genus two, 379-389 [Zbl 1074.11033]