In all DK related publications, it is required to acknowledge support of the FWF. The following naming convention must be used in all cases:
Austrian Science Fund (FWF): W1230
For example, you may include a sentence such as "The author acknowledges the support of the Austrian Science Fund (FWF): W1230." Please do not forget!
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| [34] | Rainer Dietmann and Christian Elsholtz, Hilbert cubes in progression-free sets and in the set of squares, Israel Journal of Mathematics, 192(1), 59-66, (2012).
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| [33] | Rainer Dietmann, Christian Elsholtz and Igor E. Shparlinski, On gaps between primitive roots in the Hamming metric., Quarterly Journal of Mathematics, 64(4), 1043–1055, (2013).
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| [32] | Andrej Dujella and Christian Elsholtz, Sumsets being squares, Acta Mathematica Hungarica, 141(4), 353-357, (2013).
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| [31] | Christian Elsholtz, Clemens Heuberger and Helmut Prodinger, The number of Huffman codes, compact trees, and sums of unit fractions, IEEE Transactions on Information Theory, 59, 1065-1075, (2013).
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| [30] | Christian Elsholtz, Alan Filipin and Yasutsugu Fujita, On Diophantine quintuples and $D(-1)$-quadruples, Monatshefte für Mathematik, 175, 227-239, (2014).
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| [29] | Rainer Dietmann and Christian Elsholtz, Hilbert cubes in arithmetic sets, Revista Matematica Iberoamericana, 31(4), 1477–1498, (2015).
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| [28] | Christian Elsholtz and Glyn Harman, On conjectures of T. Ordowski and Z. W. Sun concerning primes and quadratic forms, Chapter in Analytic number theory (C. Pomerance, M. Rassias, eds.), Springer, 65–81, (2015).
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| [27] | Christian Elsholtz and Adam J. Harper, Additive decompositions of sets with restricted prime factors, Transactions of the American Mathematical Society, 367(10), 7403–7427, (2015).
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| [26] | Manfred Madritsch and Stefan Planitzer, Romanov's Theorem in Number Fields, (2015). (preprint)
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| [25] | Rainer Dietmann, Christian Elsholtz and Igor E. Shparlinski, Prescribing the binary digits of squarefree numbers and quadratic residues, Transactions of the American Mathematical Society, 369, 8369-8388, (2017).
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| [24] | Christian Elsholtz, Niclas Technau and Robert Tichy, On the regularity of primes in arithmetic progressions, International Journal of Number Theory, 13(5), 1349-1361, (2017).
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| [23] | Number theory—Diophantine problems, uniform distribution and applications, (Christian Elsholtz, Peter Grabner, eds.), Springer, xv+444, (2017). (Festschrift in honour of Robert F. Tichy's 60th birthday)
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| [22] | Christian Elsholtz and Stefan Planitzer, On Erd\H os and Sárközy's sequences with Property P, Monatshefte für Mathematik, 182(3), 565–575, (2017).
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| [21] | Christian Elsholtz, Florian Luca and Stefan Planitzer, Romanov type problems, Ramanujan Journal, 47(2), 267–289, (2018).
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| [20] | Christian Elsholtz and Jan-Christoph Schlage-Puchta, On Romanov's constant, Mathematische Zeitschrift, 288(3-4), 713–724, (2018).
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| [19] | Stefan Planitzer, Sums of unit fractions, Romanov type problems and Sequences with Property P, PhD thesis, TU Graz, (2018).
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| [18] | Christian Elsholtz, Marc Technau and Niclas Technau, The maximal order of iterated multiplicative functions, Mathematika, 65(4), 990–1009, (2019).
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| [17] | Christian Elsholtz and Christopher Frei, Arithmetic progressions in binary quadratic forms and norm forms, Bulletin of the London Mathematical Society, 51(4), 595–602, (2019).
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| [16] | Christian Elsholtz, Unconditional Prime-Representing Functions, Following Mills, The American Mathematical Monthly, 127(7), 639–642, (2020).
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| [15] | Christian Elsholtz, Benjamin Klahn and Gabriel F. Lipnik, Large Subsets of ${\mathbb Z}^n_m$ without Arithmetic Progressions, (2020). (submitted)
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| [14] | Christian Elsholtz and Péter Pál Pach, Caps and progression-free sets in $\mathbb{Z}^n_m$, Designs, Codes and Cryptography, 88(10), 2133-2170, (2020).
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| [13] | Christian Elsholtz and Stefan Planitzer, The number of solutions of the Erd\H os-Straus equation and sums of $k$ unit fractions, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 150(3), 1401–1427, (2020).
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| [12] | Christian Elsholtz and Jan-Christoph Schlage-Puchta, The density of integers representable as the sum of four prime cubes, Acta Arithmetica, 192(4), 363–369, (2020).
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| [11] | Christian Elsholtz, Fermat's Last Theorem Implies Euclid's Infinitude of Primes, The American Mathematical Monthly, 128(3), 250-257, (2021).
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| [10] | Christian Elsholtz and Gabriel Lipnik, Exponentially larger affine and projective caps, (2021). (submitted)
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| [9] | C. Elsholtz and S. Planitzer, Sums of four and more unit fractions and approximate parametrizations, Bulletin of the London Mathematical Society, 53(3), 695-709, (2021).
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| [8] | Clemens Heuberger, Daniel Krenn and Gabriel F. Lipnik, A Note on the Relation between Recognisable Series and Regular Sequences, and their Minimal Linear Representations, (2021). (submitted)
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| [7] | Rainer Dietmann, Christian Elsholtz, Alexander Kalmynin and Sergei Konyagin James Maynard, Longer gaps between values of binary quadratic forms, Int. Mat. Res. Not., (2022). (accepted (25 pp.))
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| [6] | Christian Elsholtz, Benjamin Klahn and Marc Technau, On polynomials with roots modulo almost all primes, (2022). (submitted)
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| [5] | Jakob Führer, Filling space with hypercubes of two sizes – the Pythagorean tiling in higher dimensions, Mathematika, (2022). (to appear)
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| [4] | Clemens Heuberger, Daniel Krenn and Gabriel F. Lipnik, Asymptotic Analysis of $q$-Recursive Sequences, Algorithmica, (2022). (to appear)
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| [3] | Benjamin Klahn, A divisor problem for polynomials, Acta Arithmetica, 200(2), 111-118, (2022).
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| [2] | Benjamin Klahn, Diversity in rationally parameterized number fields, (2022). (submitted)
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| [1] | Gabriel F. Lipnik, Manfred G. Madritsch and Robert F. Tichy, A Central Limit Theorem for Integer Partitions into Small Powers, (2022). (submitted)
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