- MATHEMATICS OF COMPUTATION Volume 00, Number 0, Pages 000000
- EXPLICIT FORMULAS FOR THE MAHLER MEASURE OF FAMILIES OF MULTIVARIABLE POLYNOMIALS
- MINIMAL POLYNOMIALS OF ALGEBRAIC NUMBERS WITH RATIONAL PARAMETERS
- CYCLOTOMIC POINTS ON CURVES F. Beukers and C.J. Smyth
- VARIATIONS ON THE THEME OF HILBERT'S THEOREM 90 A. DUBICKAS
- ZEROS OF RAMANUJAN POLYNOMIALS M. RAM MURTY, CHRIS SMYTH, AND ROB J. WANG
- Minimal polynomials of algebraic numbers with rational parameters
- Solving algebraic equations in roots of unity Iskander Aliev and Chris Smyth
- PRIMITIVE SOLUTIONS OF n|2n TOBY BAILEY AND CHRIS SMYTH
- THE MAHLER MEASURE OF ALGEBRAIC NUMBERS: CHRIS SMYTH
- Under consideration for publication in Math. Proc. Camb. Phil. Soc. 1 On the lines passing through two conjugates of a Salem number
- INTEGER SYMMETRIC MATRICES HAVING ALL THEIR EIGENVALUES IN THE INTERVAL [-2,2]
- SALEM NUMBERS, PISOT NUMBERS, MAHLER MEASURE AND GRAPHS JAMES MCKEE AND CHRIS SMYTH
- TWO VARIATIONS OF A THEOREM OF KRONECKER ART URAS DUBICKAS AND CHRIS SMYTH
- THE CONJUGATE DIMENSION OF ALGEBRAIC NUMBERS NEIL BERRY, ARTURAS DUBICKAS, NOAM D. ELKIES, BJORN POONEN, AND CHRIS SMYTH
- THE DIVISIBILITY OF an BY POWERS OF n
- Salem Numbers of Trace -2 and Traces of
- An explicit formula for the Mahler measure of a family of 3-variable polynomials
- Torsion points on subvarieties of Gn Iskander Aliev and Chris Smyth
- UNIMODULARITY OF ZEROS OF SELF-INVERSIVE POLYNOMIALS
- Mathematical Notes, vol. 77, no. 6, 2005, pp. 787793. Translated from Matematicheskie Zametki, vol. 77, no. 6, 2005, pp. 854860.
- PAIRS OF CYCLOTOMIC POLYNOMIALS WITH INTERLACING JAMES MCKEE AND CHRIS SMYTH
- Article 10.2.4 Journal of Integer Sequences, Vol. 13 (2010),2
- A DEGREE PROBLEM FOR TWO ALGEBRAIC NUMBERS AND THEIR SUM
- Periodica Mathematica Hungarica Vol. 46 (2), 2003, pp. 135155 ON METRIC HEIGHTS
- NON-BIPARTITE GRAPHS OF SMALL MAHLER MEASURE JONATHAN COOLEY, JAMES MCKEE, AND CHRIS SMYTH
- Mathematics 4: Number Theory 2011-12 Assessed assignment
- Mathematics 4: Number Theory Problem Sheet 2 Linear congruences and linear equations in integers
- Euclid Meets Bezout: Intersecting Algebraic Plane Curves with the Euclidean Algorithm
- 5. Quadratic Reciprocity 5.1. Introduction. Recall that the Legendre sysbol a
- 4. Primality testing 4.1. Introduction. Factorisation is concerned with the problem of developing efficient
- PAIRS OF CYCLOTOMIC POLYNOMIALS WITH INTERLACING JAMES MCKEE AND CHRIS SMYTH
- Mathematics 4: Number Theory Problem Sheet 5 Sums of squares
- Mathematics 4: Number Theory Problem Sheet 1 The integer part (= floor) function
- 3. Arithmetic functions 3.1. Arithmetic functions. These are functions f : N N or Z or maybe C, usually
- Mathematics 4: Number Theory Problem Sheet 3 Primitive roots, Arithmetic functions, Pseudoprimes,. . .
- Maths 4 Number Theory 2012 0. Reference books
- Mathematics 4: Number Theory Problem Sheet 3 Primitive roots, Arithmetic functions, Pseudoprimes,. . .
- Mathematics 4: Number Theory SOLUTION Problem Sheet 2
- 2. Congruences Recall that x a (mod m) means that m | (x -a), or that x = a + km for some k Z.
- Mathematics 4: Number Theory SOLUTION Problem Sheet 1, 2nd edition
- Mathematics 4: Number Theory Problem Sheet 4 Quadratic Reciprocity
- 6. Representation of integers as sums of two squares Which n Z can be represented as a sum n = x2
