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Advances in mathematics (New York. 1965), ISSN 0001-8708, 2019, Volume 346, pp. 329 - 358
By examining asymptotic behavior of certain infinite basic (q-) hypergeometric sums at roots of unity (that is, at a ‘q-microscopic’ level... 
q-analogue | Cyclotomic polynomial | Basic hypergeometric function | Radial asymptotics | (Super)congruence | WZ pair | Q-ANALOG | MATHEMATICS | CONJECTURES | FORMULAS
Journal Article
by Aguilar, M and Ali Cavasonza, L and Alpat, B and Ambrosi, G and Arruda, L and Attig, N and Aupetit, S and Azzarello, P and Bachlechner, A and Barao, F and Barrau, A and Barrin, L and Bartoloni, A and Basara, L and Başeǧmez-du Pree, S and Battarbee, M and Battiston, R and Bazo, J and Becker, U and Behlmann, M and Beischer, B and Berdugo, J and Bertucci, B and Bindi, V and Boella, G and de Boer, W and Bollweg, K and Bonnivard, V and Borgia, B and Boschini, M. J and Bourquin, M and Bueno, E. F and Burger, J and Cadoux, F and Cai, X. D and Capell, M and Caroff, S and Casaus, J and Castellini, G and Cernuda, I and Cervelli, F and Chae, M. J and Chang, Y. H and Chen, A. I and Chen, G. M and Chen, H. S and Cheng, L and Chou, H. Y and Choumilov, E and Choutko, V and Chung, C. H and Clark, C and Clavero, R and Coignet, G and Consolandi, C and Contin, A and Corti, C and Coste, B and Creus, W and Crispoltoni, M and Cui, Z and Dai, Y. M and Delgado, C and Della Torre, S and Demirköz, M. B and Derome, L and Di Falco, S and Dimiccoli, F and Díaz, C and von Doetinchem, P and Dong, F and Donnini, F and Duranti, M and D’Urso, D and Egorov, A and Eline, A and Eronen, T and Feng, J and Fiandrini, E and Finch, E and Fisher, P and Formato, V and Galaktionov, Y and Gallucci, G and García, B and García-López, R. J and Gargiulo, C and Gast, H and Gebauer, I and Gervasi, M and Ghelfi, A and Giovacchini, F and Goglov, P and Gómez-Coral, D. M and Gong, J and Goy, C and Grabski, V and Grandi, D and Graziani, M and Guerri, I and ... and AMS Collaboration
Physical review letters, ISSN 1079-7114, 2016, Volume 117, Issue 9, p. 091103
A precision measurement by AMS of the antiproton flux and the antiproton-to-proton flux ratio in primary cosmic rays in the absolute rigidity range from 1 to... 
AMS-02 TRD | GEOMAGNETIC REFERENCE FIELD | NUCLEI | CARBON | PHYSICS, MULTIDISCIPLINARY | ABSORPTION CROSS-SECTIONS | GEV-C | DARK-MATTER | ANTI-PROTONS | RICH DETECTOR | POSITRONS | Elementary particles | Positrons | Flux | Antiprotons | Rigidity | Fluxes | Cosmic rays | Primary cosmic rays | Physics | Astrophysics | High Energy Astrophysical Phenomena
Journal Article
by Aguilar, M and Ali Cavasonza, L and Ambrosi, G and Arruda, L and Attig, N and Aupetit, S and Azzarello, P and Bachlechner, A and Barao, F and Barrau, A and Barrin, L and Bartoloni, A and Basara, L and Başeğmez-du Pree, S and Battarbee, M and Battiston, R and Becker, U and Behlmann, M and Beischer, B and Berdugo, J and Bertucci, B and Bindel, K. F and Bindi, V and Boella, G and de Boer, W and Bollweg, K and Bonnivard, V and Borgia, B and Boschini, M. J and Bourquin, M and Bueno, E. F and Burger, J and Cadoux, F and Cai, X. D and Capell, M and Caroff, S and Casaus, J and Castellini, G and Cervelli, F and Chae, M. J and Chang, Y. H and Chen, A. I and Chen, G. M and Chen, H. S and Cheng, L and Chou, H. Y and Choumilov, E and Choutko, V and Chung, C. H and Clark, C and Clavero, R and Coignet, G and Consolandi, C and Contin, A and Corti, C and Creus, W and Crispoltoni, M and Cui, Z and Dai, Y. M and Delgado, C and Della Torre, S and Demakov, O and Demirköz, M. B and Derome, L and Di Falco, S and Dimiccoli, F and Díaz, C and von Doetinchem, P and Dong, F and Donnini, F and Duranti, M and D’Urso, D and Egorov, A and Eline, A and Eronen, T and Feng, J and Fiandrini, E and Finch, E and Fisher, P and Formato, V and Galaktionov, Y and Gallucci, G and García, B and García-López, R. J and Gargiulo, C and Gast, H and Gebauer, I and Gervasi, M and Ghelfi, A and Giovacchini, F and Goglov, P and Gómez-Coral, D. M and Gong, J and Goy, C and Grabski, V and Grandi, D and Graziani, M and Guo, K. H and Haino, S and Han, K. C and ... and AMS Collaboration
Physical review letters, ISSN 1079-7114, 2016, Volume 117, Issue 23, p. 231102
Knowledge of the rigidity dependence of the boron to carbon flux ratio (B/C) is important in understanding the propagation of cosmic rays. The precise... 
GEOMAGNETIC REFERENCE FIELD | PHYSICS, MULTIDISCIPLINARY | AMS-02 | PERFORMANCE | RICH NUCLEI | DETECTOR | REACTION CROSS-SECTION | GENERATION | ENERGY-SPECTRA | PROPAGATION | LIGHT-NUCLEI | Deltas | Boron | Asymptotic properties | Flux | Mathematical models | Rigidity | Carbon | Cosmic rays | Physics | Astrophysics | High Energy Astrophysical Phenomena
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2017, Volume 453, Issue 2, pp. 761 - 772
.... As applications we prove a summation formula for a product of two q-Delannoy numbers along with some congruences for sums involving q-Delannoy numbers... 
q-Chu–Vandermonde | q-Pfaff–Saalschütz | q-binomial theorem | q-analogue of Clausen's formula | q-Delannoy numbers | LEGENDRE POLYNOMIALS | MATHEMATICS | MATHEMATICS, APPLIED | q-Pfaff-Saalschutz | HYPERGEOMETRIC-SERIES | SUPERCONGRUENCES | q-Chu-Vandermonde
Journal Article
TAIWANESE JOURNAL OF MATHEMATICS, ISSN 1027-5487, 02/2019, Volume 23, Issue 1, pp. 11 - 27
<= m, the following two expressions 1/[n(1) + n(m) + 1] [(n1 + nm)(n1)](-)(1) Sigma(n1)(k=0)q(j(k2 + k)-(2r + 1)k)[2k + 1](2r+1)Pi(m)(i=1)[(ni + ni+1+1)(ni-k)], 1... 
MATHEMATICS | q-binomial coefficients | Q-ANALOGS | q-super Catalan numbers | cyclotomic polynomial | q-ballot numbers | CONGRUENCES | q-Catalan numbers
Journal Article
by Aguilar, M and Ali Cavasonza, L and Alpat, B and Ambrosi, G and Arruda, L and Attig, N and Aupetit, S and Azzarello, P and Bachlechner, A and Barao, F and Barrau, A and Barrin, L and Bartoloni, A and Basara, L and Başeğmez-du Pree, S and Battarbee, M and Battiston, R and Becker, U and Behlmann, M and Beischer, B and Berdugo, J and Bertucci, B and Bindel, K. F and Bindi, V and de Boer, W and Bollweg, K and Bonnivard, V and Borgia, B and Boschini, M. J and Bourquin, M and Bueno, E. F and Burger, J and Burger, W. J and Cadoux, F and Cai, X. D and Capell, M and Caroff, S and Casaus, J and Castellini, G and Cervelli, F and Chae, M. J and Chang, Y. H and Chen, A. I and Chen, G. M and Chen, H. S and Cheng, L and Chou, H. Y and Choumilov, E and Choutko, V and Chung, C. H and Clark, C and Clavero, R and Coignet, G and Consolandi, C and Contin, A and Corti, C and Creus, W and Crispoltoni, M and Cui, Z and Dadzie, K and Dai, Y. M and Datta, A and Delgado, C and Della Torre, S and Demakov, O and Demirköz, M. B and Derome, L and Di Falco, S and Dimiccoli, F and Díaz, C and von Doetinchem, P and Dong, F and Donnini, F and Duranti, M and D’Urso, D and Egorov, A and Eline, A and Eronen, T and Feng, J and Fiandrini, E and Fisher, P and Formato, V and Galaktionov, Y and Gallucci, G and García-López, R. J and Gargiulo, C and Gast, H and Gebauer, I and Gervasi, M and Ghelfi, A and Giovacchini, F and Gómez-Coral, D. M and Gong, J and Goy, C and Grabski, V and Grandi, D and Graziani, M and Guo, K. H and Haino, S and Han, K. C and ... and AMS Collaboration and Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Physical review letters, ISSN 1079-7114, 2017, Volume 119, Issue 25, p. 251101
We report the observation of new properties of primary cosmic rays He, C, and O measured in the rigidity (momentum/charge) range 2 GV to 3 TV with 90 x 10(6)... 
HELIUM SPECTRA | GEOMAGNETIC REFERENCE FIELD | PHYSICS, MULTIDISCIPLINARY | AMS-02 | REACTION CROSS-SECTIONS | RICH NUCLEI | PROTON | ENERGY-SPECTRA | BESS SPECTROMETER | ABUNDANCES | PROPAGATION | ASTRONOMY AND ASTROPHYSICS
Journal Article
by Aguilar, M and Ali Cavasonza, L and Ambrosi, G and Arruda, L and Attig, N and Aupetit, S and Azzarello, P and Bachlechner, A and Barao, F and Barrau, A and Barrin, L and Bartoloni, A and Basara, L and Başeğmez-du Pree, S and Battarbee, M and Battiston, R and Becker, U and Behlmann, M and Beischer, B and Berdugo, J and Bertucci, B and Bindel, K. F and Bindi, V and de Boer, W and Bollweg, K and Bonnivard, V and Borgia, B and Boschini, M. J and Bourquin, M and Bueno, E. F and Burger, J and Burger, W. J and Cadoux, F and Cai, X. D and Capell, M and Caroff, S and Casaus, J and Castellini, G and Cervelli, F and Chae, M. J and Chang, Y. H and Chen, A. I and Chen, G. M and Chen, H. S and Cheng, L and Chou, H. Y and Choumilov, E and Choutko, V and Chung, C. H and Clark, C and Clavero, R and Coignet, G and Consolandi, C and Contin, A and Corti, C and Creus, W and Crispoltoni, M and Cui, Z and Dadzie, K and Dai, Y. M and Datta, A and Delgado, C and Della Torre, S and Demirköz, M. B and Derome, L and Di Falco, S and Dimiccoli, F and Díaz, C and von Doetinchem, P and Dong, F and Donnini, F and Duranti, M and D’Urso, D and Egorov, A and Eline, A and Eronen, T and Feng, J and Fiandrini, E and Fisher, P and Formato, V and Galaktionov, Y and Gallucci, G and García-López, R. J and Gargiulo, C and Gast, H and Gebauer, I and Gervasi, M and Ghelfi, A and Giovacchini, F and Gómez-Coral, D. M and Gong, J and Goy, C and Grabski, V and Grandi, D and Graziani, M and Guo, K. H and Haino, S and Han, K. C and He, Z. H and Heil, M and ... and AMS Collaboration and Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Physical review letters, ISSN 1079-7114, 2018, Volume 120, Issue 2
We report on the observation of new properties of secondary cosmic rays Li, Be, and B measured in the rigidity (momentum per unit charge) range 1.9 GV to 3.3... 
GEOMAGNETIC REFERENCE FIELD | NUCLEI | FLIGHT | PHYSICS, MULTIDISCIPLINARY | AMS-02 | DETECTOR | GENERATION | ENERGY-SPECTRA | ABUNDANCES | CHARGE COMPOSITION | ASTRONOMY AND ASTROPHYSICS
Journal Article
ACM Transactions on Graphics (TOG), ISSN 0730-0301, 12/2015, Volume 35, Issue 1, pp. 1 - 16
.... We present an efficient method, called Q-MAT , that uses quadratic error minimization to compute a structurally simple, geometrically accurate, and compact representation of the MAT... 
volume approximation | quadratic error metric | simplification | Medial axis | stability ratio | Stability ratio | Simplification | Quadratic error metric | Volume approximation | Design | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MESHES | Performance | Errors | Approximation | Computation | Mathematical analysis | Transforms | Minimization | Representations | Optimization
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2019, Volume 475, Issue 2, pp. 1636 - 1646
.... In our previous work, such partial sums are related to the radial asymptotics of infinite q-hypergeometric sums at roots of unity... 
Cyclotomic polynomial | Basic hypergeometric function | Ramanujan | (Super)congruence | q-Analogue | Q-ANALOG | 1/PI | MATHEMATICS | MATHEMATICS, APPLIED | RAMANUJAN-TYPE FORMULAS | SUPERCONGRUENCE | CONGRUENCES
Journal Article
by Aguilar, M and Ali Cavasonza, L and Ambrosi, G and Arruda, L and Attig, N and Azzarello, P and Bachlechner, A and Barao, F and Barrau, A and Barrin, L and Bartoloni, A and Basara, L and Başeğmez-du Pree, S and Battiston, R and Becker, U and Behlmann, M and Beischer, B and Berdugo, J and Bertucci, B and Bindi, V and de Boer, W and Bollweg, K and Borgia, B and Boschini, M. J and Bourquin, M and Bueno, E. F and Burger, J and Burger, W. J and Cai, X. D and Capell, M and Caroff, S and Casaus, J and Castellini, G and Cervelli, F and Chang, Y. H and Chen, G. M and Chen, H. S and Chen, Y and Cheng, L and Chou, H. Y and Choutko, V and Chung, C. H and Clark, C and Coignet, G and Consolandi, C and Contin, A and Corti, C and Crispoltoni, M and Cui, Z and Dadzie, K and Dai, Y. M and Datta, A and Delgado, C and Della Torre, S and Demirköz, M. B and Derome, L and Di Falco, S and Dimiccoli, F and Díaz, C and von Doetinchem, P and Dong, F and Donnini, F and Duranti, M and Egorov, A and Eline, A and Eronen, T and Feng, J and Fiandrini, E and Fisher, P and Formato, V and Galaktionov, Y and García-López, R. J and Gargiulo, C and Gast, H and Gebauer, I and Gervasi, M and Giovacchini, F and Gómez-Coral, D. M and Gong, J and Goy, C and Grabski, V and Grandi, D and Graziani, M and Guo, K. H and Haino, S and Han, K. C and He, Z. H and Heil, M and Hsieh, T. H and Huang, H and Huang, Z. C and Incagli, M and Jia, Yi and Jinchi, H and Kanishev, K and Khiali, B and Kirn, Th and Konak, C and Kounina, O and Kounine, A and ... and AMS Collaboration and Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Physical review letters, ISSN 0031-9007, 2019, Volume 122, Issue 4, p. 041102
Precision measurements of cosmic ray positrons are presented up to 1 TeV based on 1.9 million positrons collected by the Alpha Magnetic Spectrometer on the... 
AMS-02 TRD | SPACE | GEOMAGNETIC REFERENCE FIELD | PHYSICS, MULTIDISCIPLINARY | ELECTRONS | PERFORMANCE | DETECTOR | ALPHA MAGNETIC SPECTROMETER | DARK-MATTER | ENERGY-SPECTRA | PROPAGATION | International Space Station | Dark matter | Cosmic rays | Space stations | Positrons | Dependence | ASTRONOMY AND ASTROPHYSICS
Journal Article
Journal of Difference Equations and Applications, ISSN 1023-6198, 10/2017, Volume 23, Issue 10, pp. 1670 - 1679
We show that, for all positive integers , , and any non-negative integers j and r with , the expression is a Laurent polynomial in q with integer coefficients... 
q-Pfaff-Saalschütz identity | q-Narayana numbers | q-Binomial coefficients | q-Catalan triangle | 05A30 | q-super Catalan numbers | 05A10 | MATHEMATICS, APPLIED | NUMBERS | 11B65 | q-Pfaff-Saalschutz identity | CONGRUENCES | ALTERNATING SUMS | PRODUCTS | Integers | Binomial coefficients
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 06/2019, Volume 147, Issue 6, pp. 2349 - 2363
... of the classical _2F_1 function. Based on a q-series transformation formula and the Nassrallah-Rahman integral we prove a q-beta integral which has twelve parameters, with several other results, both classical and new, included as special cases... 
MATHEMATICS | MATHEMATICS, APPLIED | Askey-Wilson polynomials | q-beta integral | Nassrallah-Rahman integral | Askey-Wilson integral
Journal Article
Journal Article