University of Calgary

Published in: TO APPEAR. TO APPEAR SEPTEMBER 2003 OCTOBER 25, 2005 OCTOBER 25 2005 NOVEMBER 2006 NOVEMBER 2003 MARCH 2002 JUNE 2005 JULY 2006 JULY 02, 2003 DECEMBER 2006 AUGUST 5, 2005 AUGUST 4, 2004 AUGUST 2006 AUGUST 2005 APRIL 2004 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000/01 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991/92 1991 1990 1989 1988/89 1988 1987/88 1987 1986 1985 1984 1983 1982/83 1982 1981/82 1981 1980/81 1980 1979 1978 1977/80 1977 1976/77 1976 1975/76 1975 1974/75 1974 1973/74 1973 1972 1971 1970 1969 1968 1967 1966 1965 1964/1965 1964 1963 1962 1961 1960 1959 1958/1959 1958 1957 1956 1955 1954 1953 1952 1900

## Advanced Number Theory with ApplicationsMollin, RichardThis book is designed as a second course in number theory at the senior undergraduate/junior graduate level to follow a course in elementary methods, such as that given in my book Fundamental Number Theory with Applications, Second edition, published in 2008 and listed in this profile. Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page reference for every citing in the bibliography and more than 1,500 entries in the index so that students can easily cross-reference and find the appropriate data. With numerous examples throughout, the text begins with coverage of algebraic number theory, binary quadratic forms, Diophantine approximation, arithmetic functions, p-adic analysis, Dirichlet characters, density, and primes in arithmetic progression. It then applies these tools to Diophantine equations, before developing elliptic curves and modular forms. The text also presents an overview of Fermat’s Last Theorem (FLT) and numerous consequences of the ABC conjecture, including Thue–Siegel–Roth theorem, Hall’s conjecture, the ErdÃ¶s–Mollin-–Walsh conjecture, and the Granville–Langevin Conjecture. In the appendix, the author reviews sieve methods, such as Eratothesenes’, Selberg’s, Linnik’s, and Bombieri’s sieves. He also discusses recent results on gaps between primes and the use of sieves in factoring. By focusing on salient techniques in number theory, this textbook provides the most up-to-date and comprehensive material for a second course in this field. It prepares students for future study at the graduate level. | |

## A Dynamical Core for Topological Directed GraphsBrenken, B. | |

## A fourth-order finite difference method for solving the system of two-dimensional Burgers' equationsLiao, Wenyuan | |

## A multiple model and PadÃ© approximation, CREWES Research Report, Vol. 22, Chapter 93, p.1-11Zhang, Dali, Lamoureux, Michael P. and Margrave, Gary F. | |

## An efficient seventh power residue symbol algorithmCaranay, Perlas and Scheidler, Renate | |

## An explicit treatment of cubic function fields with applicationsLandquist, Eric, Rozenhart, Pieter, Scheidler, Renate, Webster, Jonathan and Wu, Qingquan | |

## A Note on Bartlett's M Test for Homogeneity of VariancesZhang, L, Jiang, W and Chen, Gemai | |

## A Note on Residuacity and Criteria for Prime RepresentationMollin, Richard and Srinivasan, Anitha | |

## A note on the negative Pell equationMollin, Richard and Srinivasan, Anitha | |

## Approximations for a Multivariate Hybrid Process with Applications to Change-Point DetectionBurke, Murray | |

## A review of canonical forms for selfadjoint matrix polynomials.Lancaster, Peter and Zaballa, I. | |

## Bayesian Statistical Inference for Start-Up Demonstration Tests with Rejection of Units upon Observing d FailuresScollnik, David | |

## Central norms: Applications to Pell's equationMollin, Richard and Srinivasan, Anitha | |

## Centred subpolytopes of the 4- cubeBisztriczky, Ted, Boroczky, K., Fodor, F., Heppes, A. and Oliveros, D. | |

## Classical Topics in Discrete GeometryBezdek, Karoly | |

## Comparison of regression lines based on individual and averaged datade Leon, Alexander, Wu, Beilei and Punzalan, JB | |

## Construction of equally entangled bases in arbitrary dimensions via quadratic Gauss sums and graph statesGheorghiu, Vlad and Shiang Yong Looi | |

## Continuous Time Portfolio Selection under Conditional Capital at RiskDmitrasinovic-Vidovic, Gordana, Lari-Lavassani, Ali, Li, Xun and Ware, Antony | |

## Covering large balls with convex sets in spherical spaceBezdek, Karoly and Schneider, Rolf | |

## Cryptographic aspects of real hyperelliptic curvesJacobson Jr., Michael J., Scheidler, Renate and Stein. Andreas | |

## Current List of PublicationsScollnik, David | |

## Distinguishing Number of Countable Homogeneous Relational StructuresLaflamme, Claude, Nguyen Van ThÃ©, Lionel and Sauer, Norbert | |

## Efficient reduction of large divisors on hyperelliptic curvesAvanzi, Roberto, Jacobson Jr., Michael J. and Scheidler, Renate | |

## Ehrlich's theorem for groupsLi, Y. and Nicholson, W. Keith | |

## Estimation of Q-factor and phase velocity using the recovered stress-strain relaxation spectrum, Proceedings of the GeoCanada 2010 meetingZhang, Dali, Lamoureux, Michael P and Margrave, Gary F | |

## Evolution and Symmetry of Multipartite EntanglementGour, Gilad | |

## Geochemical studies on the contamination and dispersion of heavy metals in intertidal sediments around a military air weapons shooting rageJung, HS, Yun, ST, Choi, BY, Kim, Hyang Mi, Jung, MC, Jung, MS and Kim, SO | |

## Graph labelings and multipartite decompositionsKhan, Muhammad Ali | |

## Hermitian quadratic matrix polynomials: solvents and inverse problems.Lancaster, Peter and Tisseur, F. | |

## Holomorphic semi-almost periodic functionsBrudnyi, Alex and Kinzebulatov, Damir | |

## Local cloning of entangled statesGheorghiu, Vlad, Li Yu and Scott M. Cohen | |

## Location of quantum information in additive graph codesGheorghiu, Vlad, Shiang Yong Looi and Robert B. Griffiths | |

## Minimum Hellinger distance estimation in a two-sample semiparametric modelWu, Jingjing, Karunamuni, Rohana and Zhang, Biao | |

## Mixed-outcome datade Leon, Alexander and Carriere Chough, K inEncyclopedia of Biopharmaceutical Statistics (3rd ed) | |

## Morphic groupsLi, Y., Nicholson, W. Keith and Zan, L. | |

## On algebras of holomorphic functions with semi-almost periodic boundary valuesBrudnyi, Alex and Kinzebulatov, Damir | |

## On covering numbers of sublevel sets of analytic functionsBrudnyi, Alex | |

## On Mean-Variance Portfolio Selection under a Hidden Markovian Regime Switching ModelElliott, Robert, Siu, Tak Kuen and Badescu, Alexandru | |

## On polynomial inequalities on exponential curves in C^nBrudnyi, Alex, Bos, Len and Levenberg, Norm | |

## On the optimal spectral abscissa for a system of linear oscillators.Freitas, P. and Lancaster, Peter | |

## Optimal component selection for component-based systemsKhan, Muhammad Ali and S. Mahmood in K. ElleithyInnovations in Computing Sciences and Software EngineeringIn Component-based Software (CBS) development, it is desirable to choose software components that provide all necessary functionalities and at the same time optimize certain nonfunctional attributes of the system (for example, system cost). In this paper we investigate the problem of selecting software components to optimize one or more nonfunctional attributes of a CBS. We approach the problem through the lexicographic multi-objective optimization perspective and develop a scheme that produces Pareto-optimal solutions. Furthermore we show that the Component Selection Problem (CSP) can be solved in polynomial time if the components are connected by serial interfaces and all the objectives are to be minimized, whereas the corresponding maximization problem is NP-hard. | |

## Pade approximations in inverse homogenization and numerical simulation of electromagnetic fields. URSI 2010 International Symposium on Electromagnetic Theory, IEEE Proceedings, Berlin, Germany, 978-1-4244-5154-8/10, 642-645Cherkaev, Elena and Zhang, Dali | |

## Parametrizing structure preserving transformations of matrix polynomials.Lancaster, Peter and Zaballa, I. | |

## Partition properties of the dense local order and a colored version of Milliken's theorem.Laflamme, Claude, Nguyen Van ThÃ©, Lionel and Sauer, Norbert | |

## Projective free algebras of continuous functions on compact abelian groupsBrudnyi, Alex, Rodman, Leiba and Spitkovsky, Ilya M. | |

## Proof of the Mollin-Srinivasan Conjecture and Other Class Number problemsMollin, Richard and Srinivasan, Anitha | |

## Quantitative bounds for Markov Chain Convergence: Wasserstein and Total Variation distancesSezer, Deniz and Madras, Neal | |

## Quantitative quality assessment of network-based schedulesKhan, Muhammad Ali and M. Siddiqui | |

## Random generation of graphs with a given degree sequenceKhan, Muhammad Ali, K. K. Kayibi and S. Pirzada | |

## Rational approximation for estimation of quality Q-factor and phase velocity in linear, viscoelastic, isotropic mediaZhang, Dali, Lamoureux, Michael P., Margrave, Gary F. and Cherkaev, Elena | |

## Robust empirical Bayes tests for continuous distributionsKarunamuni, Rohana, Li, Jianjun and Wu, Jingjing | |

## Schur decomposition of a matrix and the boundary of the pseudospectrum.Boulton, L. and Lancaster, Peter | |

## Security estimates for quadratic field based cryptosystemsBiasse, Jean-FranÃ§ois, Jacobson, Jr., Michael J. and Silvester, Alan | |

## Separable operations, graph codes and the location of quantum informationGheorghiu, Vlad | |

## Some algebraic aspects of the center problem for ordinary differential equationsBrudnyi, Alex | |

## Stieltjes representation of the 3D Bruggeman effective medium and Pade approximationZhang, Dali, Cherkaev, Elena and Lamoureux, Miclael P. | |

## Study behavior in a preparatory mathematics program: a case of bilingual Arab pre-University studentsKhan, Muhammad Ali, M. Omar, M. Abujiya, B. Yushau and H. Al-Attas | |

## The morphology of infinite tournaments; application to the growth of their profile.Boudabbous, Youssef and Pouzet, Maurice | |

## The ramification groups and different of a compositum of Artin-Schreier extensionsWu, Qingquan and Scheidler, Renate | |

## The T(5) property of families of overlapping unit disksBisztriczky, Ted, Boroczky, Karoly and Heppes, A. | |

## Topological quivers as multiplicity free relationsBrenken, B. | |

## Toward a Mackey formula for compact restriction of character sheavesCunningham, Clifton and Achar, Pramod | |

## Translations in Affine Klingenberg SpacesBisztriczky, Ted and Lorimer, J. W. | |

## Tree composition condition and moments vanishingBrudnyi, Alex and Yomdin, Yosef | |

## Visualizing minimal surfaces: rendering solid models with the aid of 3D printers, The Mathematica Journal:Melko, Mike | |

## Weighted Profile Least Squares Estimation for a Panel Data Varying-coefficient Partially Linear ModelZhou, B, You, J, Xu, Q and Chen, Gemai |

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