Publikationen Arbeitsgruppe Zahlentheorie
Arbeitsgruppe
Zahlentheorie

Publikationen (ab 1993)

  • Becker, P.G. und Sander, J.W.: Irrationality and codes.
    Semigroup Forum 51 (1995), 117-124.
  • Croot, E. und Elsholtz, C.: On variants of the larger sieve.
    Acta Math. Hung. 103 (2004), 243-254.
  • Croot, E. und Elsholtz, C.: On thin sets of primes expressible as sumsets.
    Acta Math. Hung. (im Druck)
  • Dietmann, R., Elsholtz, C., Gyarmati, K. und Simonivits, M.: Shifted products that are coprime pure powers.
    J. Combin. Theory (im Druck)
  • Dilcher, K. und Lucht, L.G.: On finite pattern-free sets of integers.
    (eingereicht)
  • Elsholtz, C.: A remark on Hofmann and Wolke's additive decompositions of the set of primes.
    Arch. Math. 76 (2001), 30-33.
  • Elsholtz, C.: Sums of k unit fractions.
    Trans. Amer. Math. Soc. 353 (2001), 3209-3227.
  • Elsholtz, C.: The inverse Goldbach problem.
    Mathematika 48 (2001), 151-158.
  • Elsholtz, C.: The distribution of sequences in residue classes.
    Proc. Amer. Math. Soc. 130 (2002), no.8, 2247-2250.
  • Elsholtz, C.: Lower bounds for multidimensional zero sums.
    Combinatorica 24 (2004), 351-358.
  • Elsholtz, C.: Some remarks on the additive structure of the set of primes.
    In: Number Theory for the Millennium, vol. I, Eds. Bennett et al. Proceedings of the Millennial Conference on Number Theory, Urbana IL, 2000. AK Peters, Natick, Massachusetts, 2002, 419-427.
  • Elsholtz, C.: Triples of primes in arithmetic progressions.
    Quart. J. Math. 53 (2002), 393-395.
  • Elsholtz, C.: Kombinatorische Beweise des Zweiquadratesatzes.
    Math. Semesterberichte 50 (2003), 77-93.
  • Elsholtz, C.: On cluster primes
    Acta Arith. 110 (2003), 281-284.
  • Elsholtz, C. und List, C.: A Simple Proof of Sen's Possibility Theorem on Majority Decisions.
    Elemente der Mathematik (im Druck).
  • Elsholtz, C.: Upper bounds for prime k-tuples of size log N and oscillations
    Arch. Math. 82 (2004), 33-39.
  • Elsholtz, C. und Klotz, W.: Maximal dimension of unit simplices
    Discrete Comput. Geometry (im Druck).
  • Elsner, C. and Sander, J.W.: On the exact height of integer-detecting sequences
    J. Number Theory 73 (1998), 1-13.
  • Elsner, C. and Sander, J.W.: On the distribution of residue classes of quadratic forms and integer-detecting sequences in number fields
    Stud. Sci. Math. Hung. 36 (2000), 123-153.
  • Elsner, C., Sander, J.W. and Steuding, J.: Kettenbrüche als Summen ebensolcher
    Math. Slovaca 51 (2001), 281-293.
  • von zur Gathen, J., Knopfmacher, A., Luca, F., Lucht, L.G. und Shparlinski, I.E.: Average order in cyclic groups.
    J. Theorie des Nombres Bordeaux 16 (2004), 107-123.
  • Indlekofer, K.H., Lucht, L.G. und Wehmeier, S.: Mean behaviour and distribution properties of multiplicative functions.
    Computers and Mathematics with Applications (im Druck).
  • Indlekofer, K.H. und Lucht, L.G.: Mean behaviour of arithmetic functions on certain thin sequences.
    Proc. of the Conference on Elementary and Analytic Number Theory, Mainz, 2004 (im Druck).
  • Köhler, S.:Tauberian theorems for sequences satisfying certain convolution relations.
    Math. Nachr. 231 (2001), 69-87.
  • Lakhal, M. and Sander, J.W.: Rational points on the superelliptic Erdös-Selfridge curve of fifth degree.
    Mathematika (im Druck).
  • Lucht, L.G.: An application of Banach algebra techniques to multiplicative functions.
    Math. Z. 214 (1993), 287-295.
  • Lucht, L.G., Methfessel, C.: Recurrent sequences and endomorphisms of Euclidean spaces.
    Arch. Math. 63 (1994), 92-96.
  • Lucht, L.G.: Weighted relationship theorems and Ramanujan expansions.
    Acta Arith. 70 (1995), 25-42.
  • Lucht, L.G.: Ramanujan expansions revisited.
    Arch. Math. 64 (1995), 121-128.
  • Lucht, L.G.: The arithmetic-geometric mean inequality.
    Am. Math. Monthly 102 (1995), 739-740.
  • Lucht, L.G., Methfessel, C.: Recurrent sequences and affine functional equations.
    J. Number Theory 57 (1996), 105-113 .
  • Lucht, L.G., Reifenrath, K.: Weighted Wiener-Lévy theorems.
    In: Analytic Number Theory. Proceedings of a Conference in Honor of Heini Halberstam, Urbana-Champaign, 1995. Vol. 2. Birkhäuser Boston 1996, 607-619.
  • Lucht, L.G.: Arithmetical sequences and systems of functional equations.
    Aequationes Math. 53 (1997), 73-90.
  • Lucht, L.G.: Recurrent and almost-periodic sequences.
    Arch. Math. 68 (1997), 22-26.
  • Lucht, L.G.: Arithmetical aspects of certain functional equations.
    Acta Arith. 82 (1997), 257-277.
  • Lucht, L.G., Peter, M.: On the characterization of exponential polynomials.
    Archiv Math. 71 (1998), 201-210.
  • Lucht, L.G.: Polylogarithms and arithmetic functions.
    Proceedings of the Conference on Algebraic Number Theory and Diophantine Analysis, Graz, 1998. De Gruyter Berlin 2000, 293-303.
  • Lucht, L.G., Schmalmack, A.: Polylogarithms and arithmetic function spaces.
    Acta Arith. 95 (2000), 361-382.
  • Lucht, L.G.: Reducible arithmetic functions, asymptotic mean behaviour, and polylogarithms.
    In: Number Theory for the Millennium, vol. I, Eds. Bennett et al. Proceedings of the Millennial Conference on Number Theory, Urbana IL, 2000. AK Peters, Natick, Massachusetts, 2002, 375-385.
  • Lucht, L.G.: Contributions to abstract analytic number theory. In Memory of John Peter Louis Knopfmacher (1937-1999)
    Quaestiones Math. 24 (2001), 309-322.
  • Lucht, L.G.; Reifenrath, K.: Mean-value theorems in arithmetic semigroups. Dedicated to the memory of John Knopfmacher (1937-1999).
    Acta Math. Hungar. 93 (2001), 27-57.
  • Lucht, L.G.: Extremal pattern-free sets of positive integers.
    Ann. Univ. Sci. Budapest, Sect. Comp. 22 (2003), 375-385.
  • Methfessel, C.: Multiplicative and additive recurrent sequences.
    Arch. Math. 63 (1994), 321-328.
  • Methfessel, C.: Rekurrente Folgen mit lokal gleichmäßig beschränkter Primteileranzahl.
    Acta Arith. 70 (1995), 1-7.
  • Myerson, G. and Sander, J.W.: What the least common multiple divides, II.
    J. Number Theory 61 (1996), 67-84.
  • Sander, J.W.: On maximal antihierarchic sets of integers.
    Discrete Math. 113 (1993), 179-189.
  • Sander, J.W.: On primes not dividing binomial coefficients.
    Math. Proc. Cambr. Phil. Soc. 113 (1993), 225-232.
  • Sander, J.W.: Prime power divisors of binomial coefficients: Reprise.
    J. reine angew. Math. 437 (1993), 217-220.
  • Sander, J.W.: On numbers with a large prime power factor .
    Acta Math. Hung 63 (1994), 149-165.
  • Sander, J.W.: On a sum over primes.
    Hardy-Ramanujan J. 17 (1994), 32-39
  • Sander, J.W.: On 4/n = 1/x + 1/y + 1/z and Iwaniec' half dimensional sieve.
    J. Number Theory 46 (1994), 123-136.
  • Sander, J.W.: Prime power divisors of multinomial coefficients and Artin's conjecture.
    J. Number Theory46 (1994), 372-384.
  • Sander, J.W.: A partition problem.
    J. Number Theory48 (1994), 162-182.
  • Sander, J.W.: Irrationality criteria for Mahler's numbers.
    J. Number Theory52 (1995), 145-156.
  • Sander, J.W.: On the order of prime powers dividing (2n/n).
    Acta Math. Uppsala 174 (1995), 85-118.
  • Sander, J.W.: A story of binomial coefficients and primes.
    Amer. Math. Monthly 102 (1995), 802-807.
  • Sander, J.W.: On the exponent average of integer sequences.
    Monatshefte Math. 120 (1995), 137-151.
  • Sander, J.W.: On the value distribution of arithmetic functions.
    J. Number Theory 66 (1997), 51-69.
  • Sander, J.W.: Egyptian fractions and the Erdös-Straus conjecture.
    Nieuw Arch. Wiskunde 15 (1997), 43-50.
  • Sander, J.W.: Rational points on a class of superelliptic curves
    J. London Math. Soc. 59 (1999), 422-434.
  • Sander, J.W. and Tijdeman, R.: The complexity of functions on lattices
    Theor. Comp. Science A 246 (2000), 195-225.
  • Sander, J.W. and Tijdeman, R.: Low complexity functions and convex sets in Z^k
    Math. Zeitschrift 233 (2000), 205-218.
  • Sander, J.W.: On the parity of exponents in the prime factorization of factorials.
    J. Number Theory 90 (2001), 316-328.
  • Sander, J.W. and Tijdeman, R.: The rectangle complexity of functions on two-dimensiona lattices
    Theor. Comp. Science A 270 (2002), 857-863.
  • Sander, J.W.: On the independence of Hartman sequences.
    Monatshefte Math. 135 (2002), 327-332.
  • Sander, J.W.: How to play MetaSquares.
    Proc. AMS (im Druck).
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