|
J. Ablinger, J. Bluemlein. Harmonic Sums, Polylogarithms, Special Numbers, and Their Generalizations. In: Computer Algebra in Quantum Field Theory, C. Schneider, J. Bluemlein (ed.), Texts and Monographs in Symbolic Computation , pp. 1-32. 2013. Springer, ISBN-13: 978-3709116159. [bib]
|
|
Ainhoa Aparicio Monforte, Manuel Kauers. Formal Laurent Series in Several Variables. Expositiones Mathematicae 31(4), pp. 350-367. 2013. ISSN 0723-0869. [pdf] [bib]
|
|
J. Ablinger, J. Bluemlein, A. De Freitas, A. Hasselhuhn, S. Klein, C. Schneider, F. Wissbrock. New Results on the 3-Loop Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering. In: Proceedings of the 36th International Conference on High Energy Physics, PoS(ICHEP2012)270, pp. 1-9. 2013. ISSN 1824-8039. arXiv:1212.5950 [hep-ph]. [url] [bib]
|
|
J. Ablinger, J. Bluemlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, C. Raab, M. Round, C. Schneider, F. Wissbrock. Recent Results on the 3-Loop Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering. In: XXI International Workshop on Deep-Inelastic Scattering and Related Subjects - DIS2013, PoS(DIS 2013)301, pp. 1-8. 2013. ISSN 1824-8039. arXiv:1307.7548 [hep-ph]. [url] [bib]
|
|
Alexander Hasselhuhn. 3-loop contributions to heavy flavor Wilson coefficients of neutral and charged current DIS. TU Dortmund University. PhD Thesis. 2013. [url] [bib]
|
|
Maximilian Jaroschek, Manuel Kauers, Shaoshi Chen, Michael F. Singer. Desingularization Explains Order-Degree Curves for Ore Operators. ArXiv. Technical report no. 1301.0917, 2013. [ps] [pdf] [bib]
|
|
Shaoshi Chen, Maximilian Jaroschek, Manuel Kauers, Michael F. Singer. Desingularization Explains Order-Degree Curves for Ore Operators. In: Proceedings of ISSAC'13, Manuel Kauers (ed.), pp. 157-164. 2013. isbn 978-1-4503-2059-7/13/06. [ps] [pdf] [bib]
|
|
Maximilian Jaroschek. Improved Polynomial Remainder Sequences for Ore Polynomials. Journal of Symbolic Computation 58, pp. 64-76. 2013. ISSN 0747-7171. [url] [bib]
|
|
Maximilian Jaroschek. Removable Singularities of Ore Operators. RISC. PhD Thesis. November 2013. [pdf] [bib]
|
|
Fredrik Johansson, Manuel Kauers, Marc Mezzarobba. Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation. ArXiv. Technical report no. 1301.2486, 2013. [pdf] [bib]
|
|
Fredrik Johansson, Manuel Kauers, Marc Mezzarobba. Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation. In: Proceedings of ISSAC'13, Manuel Kauers (ed.), pp. 211-218. 2013. isbn 978-1-4503-2059-7/13/06. [ps] [pdf] [bib]
|
|
Manuel Kauers, Maximilian Jaroschek, Fredrik Johansson. Ore Polynomials in Sage. ArXiv. Technical report no. 1306.4263, 2013. [pdf] [bib]
|
|
Fredrik Johansson. Arb: A C library for ball arithmetic. 2013. Software presentation at ISSAC 2013. [pdf] [pdf] [bib]
|
|
Fredrik Johansson. Rigorous high-precision computation of the Hurwitz zeta function and its derivatives. arxiv. Technical report no. 1309.2877, 2013. [pdf] [bib]
|
|
Fredrik Johansson, Brian Nakamura. Using functional equations to enumerate 1324-avoiding permutations. arxiv. Technical report no. 1309.7117, 2013. [url] [pdf] [bib]
|
|
Fredrik Johansson. Evaluating parametric holonomic sequences using rectangular splitting. arxiv. Technical report no. 1310.3741, 2013. [url] [pdf] [bib]
|
|
Richard P. Brent, Fredrik Johansson. A bound for the error term in the Brent-McMillan algorithm. arxiv. Technical report no. 1312.0039, 2013. [url] [pdf] [bib]
|
|
Manuel Kauers (ed.). Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation. Proceedings of ISSAC'13, 2013. ACM, isbn 978-1-4503-2059-7/13/06. [bib]
|
|
Manuel Kauers. The Holonomic Toolbox. In: Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions, Johannes Bluemlein and Carsten Schneider (ed.), pp. ??-??. 2013. Springer, tba. to appear. [pdf] [bib]
|
|
Manuel Kauers and Lily Yen. On the length of integers in telescopers for proper hypergeometric terms. ArXiv. Technical report no. 1311.3720, 2013. [pdf] [bib]
|
|
Christoph Koutschan, Thotsaporn Thanatipanonda. Advanced Computer Algebra for Determinants. Annals of Combinatorics 17(3), pp. 509-523. 2013. ISSN 0218-0006. [url] [pdf] [bib]
|
|
Irina Georgieva, Clemens Hofreither, Christoph Koutschan, Veronika Pillwein, Thotsaporn Thanatipanonda. Harmonic interpolation based on Radon projections along the sides of regular polygons. Central European Journal of Mathematics 11(4), pp. 609-620. 2013. ISSN 1895-1074. [pdf] [bib]
|
|
Christoph Koutschan, Peter Paule, Sergei K. Suslov. Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. Technical report no. 13-04 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. 2013. Published in: Algebraic and Algorithmic Aspects of Differential and Integral Operators, Lecture Notes in Computer Science 8372, pp. 135-145, Springer-Verlag Berlin Heidelberg, 2014. ISBN 978-3-642-54478-1.. [pdf] [bib]
|
|
B. Kronholm. Generalized Congruence Properties of the Restricted Partition Function p(n, m). The Ramanujan Journal 30(3), pp. 425-436. 2013. 1572-9303. [url] [bib]
|
|
Peter Paule, Sergei K. Suslov. Relativistic Coulomb Integrals and Zeilbergers Holonomic Systems Approach. I.. In: Computer Algebra in Quantum Field Theory, Texts and Monographs in Symbolic Computation, Springer, 2013, Carsten Schneider, Johannes Blümlein (ed.), pp. 225-241. 2013. Springer, 978-3-7091-1615-9. [bib]
|
|
Alladi, K.; Paule, P.; Sellers, J.; Yee, A.J. (ed.). Combinatory Analysis - Dedicated to George Andrews. Proceedings of Combinatory Analysis 2008: Partitions, q-series, and Applications A Conference in Honor of George Andrews' 70th Birthday, Developments in Math., 32, 2013. Springer, [bib]
|
|
Peter Paule. Mathematics, Computer Science and Logic - A Never Ending Story The Bruno Buchberger Festschrift. 1st edition, 2013. Springer, 978-3-319-00965-0. [bib]
|
|
S. Beuchler and V. Pillwein and S. Zaglmayr. Sparsity optimized high order finite element functions for H(curl) on tetrahedra. Advances in Applied Mathematics 50, pp. 749-769. 2013. [url] [pdf] [bib]
|
|
V. Pillwein. Termination Conditions for Positivity Proving Procedures. In: Proceedings of ISSAC'13, M. Kauers (ed.), pp. 315-322. 2013. isbn 978-1-4503-2059-7/13/06. [pdf] [bib]
|
|
Cristian-Silviu Radu. Proof of a conjecture by Ahlgren and Ono on the non-existence of certain partition congruences. Transactions of the American Mathematical Society 365, pp. 4881-4894. 2013. 1088-6850(e), 0002-9947(p) . [url] [pdf] [bib]
|
|
Cristian-Silviu Rand, James Sellers. An extensive analysis of the parity of broken 3-diamond partitions. Journal of Number Theory 133(11), pp. 3703-3716. 2013. 0022-314X. [url] [pdf] [bib]
|
|
Hamid Rahkooy, Zafeirakis Zafeirakopoulos. On Computing Elimination Ideals Using Resultants with Applications to Groebner Bases. Research Institute for Symbolic Computations, Doctoral College Computational Mathematics. Technical report, 2013. [url] [bib]
|
|
J. Bluemlein, A. Hasselhuhn, S. Klein, C. Schneider. The $O(α_s^3 n_f T_F^2 C_{A, F})$} Contributions to the Gluonic Massive Operator Matrix Elements. Nuclear Physics B(866), pp. 196-211. 2013. ISSN: 0550-3213. arXiv:1205.4184 [hep-ph]. [url] [pdf] [bib]
|
|
J. Ablinger, J. Bluemlein, C. Schneider. Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms. J. Math. Phys. 54(082301), pp. 1-74. 2013. ISSN 0022-2488. arXiv:1302.0378 [math-ph]. [url] [pdf] [bib]
|
|
C. Schneider. Simplifying Multiple Sums in Difference Fields. In: Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions, C. Schneider, J. Bluemlein (ed.), Texts and Monographs in Symbolic Computation , pp. 325-360. 2013. Springer, ISBN-13: 978-3709116159. arXiv:1304.4134 [cs.SC]. [url] [pdf] [bib]
|
|
J. Bluemlein, T. Riemann, C. Schneider. Precision Calculations, Algebraic Summation and Integration - Towards the Mathematical Structure of the Microcosm. In: Annual report 2012 of the particle and astroparticle physics division at DESY, - (ed.), pp. 90-91. 2013. Deutsches Elektronen Synchrotron (DESY), -. [url] [bib]
|
|
C. Schneider. Symbolic Summation in Difference Fields and Its Application in Particle Physics. Computer Algebra Rundbrief 53, pp. 8-12. 2013. ISSN 0933-5994. [url] [bib]
|
|
CRISTIAN-SILVIU RADU, JAMES SELLERS. Congruences modulo squares of primes for Fu's k dots bracelet partitions. International Journal of Number Theory 9(4), pp. 939-943. 2013. World Scientific, 1793-0421. [url] [pdf] [bib]
|
|
CRISTIAN-SILVIU RADU, JAMES SELLERS. Infinitely many congruences for broken 2-diamond partitions modulo 3. Journal of Combinatorics and Number Theory 4(3), pp. 195-200. 2013. Nova Science Publishers, 1942-5600. [pdf] [bib]
|
|
W.Y.C.Chen, D.D.M.Sang and Diane Y.H. Shi. The Rogers-Ramanujan-Gordon theorem for overpartitions. Proceedings of the London Mathematical Society 106(3), pp. 1371-1393. 2013. 0024-6115. [bib]
|
|
Koukouvinos Christos, Simos Dimitris E, Zafeirakopoulos Zafeirakis. A Groebner Bases Method for Complementary Sequences. In: Proceedings of Applications of Computer Algebra, Jose Luis Galan Garcia, Gabriel Aguilera Venegas, Pedro Rodirguez Cielos (ed.), pp. 255-260. 2013. 84-616-4565-0. [bib]
|
|
S. Gerhold, M. Kauers, C. Koutschan, P. Paule, C. Schneider, B. Zimmermann. Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order. In: Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions, C. Schneider, J. Bluemlein (ed.), Texts and Monographs in Symbolic Computation , pp. 75-96. 2013. Springer, ISBN-13: 978-3709116159. arXiv:1305.4818 [cs.SC]. [url] [pdf] [bib]
|
