Number Theory and Related Fields In Memory of Alf van der Poorten /

Number Theory and Related Fields In Memory of Alf van der Poorten /

Number Theory and Related Fields collects contributions based on the proceedings of the “International Number Theory Conference in Memory of Alf van der Poorten,” hosted by CARMA and held March 12–16, 2012, at the University of Newcastle, Australia. The purpose of the conference was to commemorate t...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Borwein, Jonathan M. (Επιμελητής έκδοσης), Shparlinski, Igor (Επιμελητής έκδοσης), Zudilin, Wadim (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
Σειρά:Springer Proceedings in Mathematics & Statistics, 43
Θέματα:
Mathematics.
Number theory.
Number Theory.
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • Preface
  • Life and Mathematics of Alfred Jacobus van der Poorten (D. Hunt)
  • Ramanujan-Sato-Like Series (G. Almkvist, J. Guillera)
  • On the Sign of the Real Part of the Riemann Zeta Function (J. Arias de Reyna, R.P. Brent, J. van de Lune)
  • Additive Combinatorics with a View Toward Computer Science and Cryptography (K. Bibak)
  • Transcendence of Stammering Continued Fractions (Y. Bugeaud)
  • Algebraic Independence of Infinite Products and Their Derivatives (P. Bundschuh)
  • Small Representations by Indefinite Ternary Quadratic Forms (J.B. Friedlander, H. Iwaniec)
  • Congruences for Andrews' SPT-Function Modulo 32760 and Extension of Atkin's Hecke-Type Partition Congruences (F.G. Garvan)
  • Continued Fractions and Dedekind Sums for Function Fields (Y. Hamahata)
  • Burgess's Bounds for Character Sums (D.R. Heath-Brown).-Structured Hadamard Conjecture (I.S. Kotsireas)
  • Families of Cubic Thue Equations with Effective Bounds for the Solutions (C. Levesque, M. Waldschmidt)
  • Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Many Integer Zeros (V. Laohakosol, O. Phuksuwan)
  • On Balanced Subgroups of the Multiplicative Group (C. Pomerance, D. Ulmer)
  • Some Extensions of the Lucas Functions (E.L. Roettger, H.C. Williams, R.K. Guy)
  • The Impact of Number Theory and Computer-Aided Mathematics on Solving the Hadamard Matrix Conjecture (J. Seberry)
  • Description of Generalized Continued Fractions by Finite Automata (J. Shallit)
  • Some Notes on Weighted Sum Formulae for Double Zeta Values (J. Wan)
  • Period(d)ness of L-Values (W. Zudilin).

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