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Found 310 Documents (Results 1–100)

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Paule, Peter; Radu, Cristian-Silviu

An algorithm to prove holonomic differential equations for modular forms. (English) Zbl 1499.11179

Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 367-420 (2021).
MSC:  11F03 05A30 68W30
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\textit{P. Paule} and \textit{C.-S. Radu}, Springer Proc. Math. Stat. 373, 367--420 (2021; Zbl 1499.11179)
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Asadi, Mohammadali; Brandt, Alexander; Moreno Maza, Marc

Computational schemes for subresultant chains. (English) Zbl 1508.13028

Boulier, François (ed.) et al., Computer algebra in scientific computing. 23rd international workshop, CASC 2021, Sochi, Russia, September 13–17, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12865, 21-41 (2021).
Reviewer: Gema Maria Diaz Toca (Murcia)
MSC:  13P15 68W30
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\textit{M. Asadi} et al., Lect. Notes Comput. Sci. 12865, 21--41 (2021; Zbl 1508.13028)
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Neiger, Vincent; Rosenkilde, Johan; Solomatov, Grigory

Generic bivariate multi-point evaluation, interpolation and modular composition with precomputation. (English) Zbl 07300096

Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 388-395 (2020).
MSC:  68W30
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\textit{V. Neiger} et al., in: Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC '20, Kalamata, Greece, July 20--23, 2020. New York, NY: Association for Computing Machinery (ACM). 388--395 (2020; Zbl 07300096)
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Ishihara, Yuki

Modular techniques for effective localization and double ideal quotient. (English) Zbl 07300080

Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 265-272 (2020).
MSC:  68W30
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\textit{Y. Ishihara}, in: Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC '20, Kalamata, Greece, July 20--23, 2020. New York, NY: Association for Computing Machinery (ACM). 265--272 (2020; Zbl 07300080)
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Radu, Cristian-Silviu

A theorem to reduce certain modular form relations modulo primes. (English) Zbl 07293170

Pillwein, Veronika (ed.) et al., Algorithmic combinatorics: enumerative combinatorics, special functions and computer algebra. Proceedings of the workshop on combinatorics, special functions and computer algebra (Paule60), Research Institute of Symbolic Computation (RISC), Hagenberg, Austria, May 17–18, 2018. In honour of Peter Paule on his 60th birthday. Cham: Springer. Texts Monogr. Symb. Comput., 317-337 (2020).
MSC:  68W30
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\textit{C.-S. Radu}, in: Algorithmic combinatorics: enumerative combinatorics, special functions and computer algebra. Proceedings of the workshop on combinatorics, special functions and computer algebra (Paule60), Research Institute of Symbolic Computation (RISC), Hagenberg, Austria, May 17--18, 2018. In honour of Peter Paule on his 60th birthday. Cham: Springer. 317--337 (2020; Zbl 07293170)
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Alladi, Krishnaswami

Euler’s partition theorem and refinements without appeal to infinite products. (English) Zbl 07293156

Pillwein, Veronika (ed.) et al., Algorithmic combinatorics: enumerative combinatorics, special functions and computer algebra. Proceedings of the workshop on combinatorics, special functions and computer algebra (Paule60), Research Institute of Symbolic Computation (RISC), Hagenberg, Austria, May 17–18, 2018. In honour of Peter Paule on his 60th birthday. Cham: Springer. Texts Monogr. Symb. Comput., 9-23 (2020).
MSC:  68W30
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\textit{K. Alladi}, in: Algorithmic combinatorics: enumerative combinatorics, special functions and computer algebra. Proceedings of the workshop on combinatorics, special functions and computer algebra (Paule60), Research Institute of Symbolic Computation (RISC), Hagenberg, Austria, May 17--18, 2018. In honour of Peter Paule on his 60th birthday. Cham: Springer. 9--23 (2020; Zbl 07293156)
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Delaney, Colleen; Wang, Zhenghan

Symmetry defects and their application to topological quantum computing. (English) Zbl 1442.18037

Bruillard, Paul (ed.) et al., Topological phases of matter and quantum computation. AMS special session, Bowdoin College, Brunswick, ME, USA, September 24–25, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 747, 121-151 (2020).
MSC:  18M20 81P68 57R56
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\textit{C. Delaney} and \textit{Z. Wang}, Contemp. Math. 747, 121--151 (2020; Zbl 1442.18037)
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Wiese, Gabor

Computational arithmetic of modular forms. (English) Zbl 1517.11034

Inam, Ilker (ed.) et al., Notes from the international autumn school on computational number theory. Lecture notes and research articles from the international autumn school on computational number theory, Izmir, Turkey, October 30 – November 3, 2017. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 63-170 (2019).
MSC:  11F11 11F67 11Y16 11-04
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\textit{G. Wiese}, in: Notes from the international autumn school on computational number theory. Lecture notes and research articles from the international autumn school on computational number theory, Izmir, Turkey, October 30 -- November 3, 2017. Cham: Birkhäuser. 63--170 (2019; Zbl 1517.11034)
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Monagan, Michael

Linear Hensel lifting for \(\mathbb{F}_p[x,y]\) and \(\mathbb{Z}[x]\) with cubic cost. (English) Zbl 1467.12002

Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 299-306 (2019).
MSC:  12-08 11Y05 11T06 68W30
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\textit{M. Monagan}, in: Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC '19, Beijing, China, July 15--18, 2019. New York, NY: Association for Computing Machinery (ACM). 299--306 (2019; Zbl 1467.12002)
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Aoyama, Toru; Noro, Masayuki

Modular algorithms for computing minimal associated primes and radicals of polynomial ideals. (English) Zbl 1467.13041

Arreche, Carlos (ed.), Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16–19, 2018. New York, NY: Association for Computing Machinery (ACM). 31-38 (2018).
MSC:  13P10 13A15 68W30
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\textit{T. Aoyama} and \textit{M. Noro}, in: Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16--19, 2018. New York, NY: Association for Computing Machinery (ACM). 31--38 (2018; Zbl 1467.13041)
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Abbott, John; Bigatti, Anna Maria

Gröbner bases for everyone with CoCoA-5 and CoCoALib. (English) Zbl 1411.13001

Hibi, Takayuki (ed.), The 50th anniversary of Gröbner bases. Proceedings of the 8th Mathematical Society of Japan-Seasonal Institute (MSJ-SI 2015), Osaka, Japan, July 1–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 77, 1-24 (2018).
MSC:  13-04 13P10 68W30 13P15 14Q10 05E40 68W25
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\textit{J. Abbott} and \textit{A. M. Bigatti}, Adv. Stud. Pure Math. 77, 1--24 (2018; Zbl 1411.13001)
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Paule, Peter; Radu, Silviu

Rogers-Ramanujan functions, modular functions, and computer algebra. (English) Zbl 1414.11123

Schneider, Carsten (ed.) et al., Advances in computer algebra. In honour of Sergei Abramov’s 70th birthday, WWCA 2016, Waterloo, Ontario, Canada, July 23–24, 2016. Selected papers based on the presentations at the workshop. Cham: Springer. Springer Proc. Math. Stat. 226, 229-280 (2018).
MSC:  11P84 05A15 05A17 11B65 68W30
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\textit{P. Paule} and \textit{S. Radu}, Springer Proc. Math. Stat. 226, 229--280 (2018; Zbl 1414.11123)
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van der Hoeven, Joris; Lecerf, Grégoire

Composition modulo powers of polynomials. (English) Zbl 1457.68331

Burr, Michael (ed.), Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25–28, 2017. New York, NY: Association for Computing Machinery (ACM). 445-452 (2017).
MSC:  68W30 13P05 68W40
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\textit{J. van der Hoeven} and \textit{G. Lecerf}, in: Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25--28, 2017. New York, NY: Association for Computing Machinery (ACM). 445--452 (2017; Zbl 1457.68331)
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Neiger, Vincent

Fast computation of shifted Popov forms of polynomial matrices via systems of modular polynomial equations. (English) Zbl 1361.68301

Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 365-372 (2016).
MSC:  68W20 12E12 12Y05 15A54 41A21 68W30
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\textit{V. Neiger}, in: Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20--22, 2016. New York, NY: Association for Computing Machinery (ACM). 365--372 (2016; Zbl 1361.68301)
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Paule, Peter; Radu, Silviu

Partition analysis, modular functions, and computer algebra. (English) Zbl 1354.05010

Beveridge, Andrew (ed.) et al., Recent trends in combinatorics. Cham: Springer (ISBN 978-3-319-24296-5/hbk; 978-3-319-24298-9/ebook). The IMA Volumes in Mathematics and its Applications 159, 511-543 (2016).
MSC:  05A17 05A20 05E45 11D75 11P83 11P81 68W30
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\textit{P. Paule} and \textit{S. Radu}, IMA Vol. Math. Appl. 159, 511--543 (2016; Zbl 1354.05010)
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Böhm, Janko; Decker, Wolfram; Fieker, Claus; Laplagne, Santiago; Pfister, Gerhard

Bad primes in computational algebraic geometry. (English) Zbl 1437.14059

Greuel, Gert-Martin (ed.) et al., Mathematical software – ICMS 2016. 5th international conference, Berlin, Germany, July 11–14, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9725, 93-101 (2016).
MSC:  14Q05 68W30
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\textit{J. Böhm} et al., Lect. Notes Comput. Sci. 9725, 93--101 (2016; Zbl 1437.14059)
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Chervyakov, N. I.; Babenko, M. G.; Lyakhov, P. A.; Lavrinenko, I. N.

An approximate method for comparing modular numbers and its application to the division of numbers in residue number systems. (English. Russian original) Zbl 1327.68340

Cybern. Syst. Anal. 50, No. 6, 977-984 (2014); translation from Kibern. Sist. Anal. 2014, No. 6, 176-186 (2014).
MSC:  68W30 11Y16
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\textit{N. I. Chervyakov} et al., Cybern. Syst. Anal. 50, No. 6, 977--984 (2014; Zbl 1327.68340); translation from Kibern. Sist. Anal. 2014, No. 6, 176--186 (2014)
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Meng, Lingchuan; Johnson, Jeremy

Automatic parallel library generation for general-size modular FFT algorithms. (English) Zbl 1412.68307

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 15th international workshop, CASC 2013, Berlin, Germany, September 9–13, 2013. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8136, 243-256 (2013).
MSC:  68W30 65T50 68W10
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\textit{L. Meng} and \textit{J. Johnson}, Lect. Notes Comput. Sci. 8136, 243--256 (2013; Zbl 1412.68307)
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Karati, Sabyasachi; Das, Abhijit; Roychowdhury, Dipanwita; Bellur, Bhargav; Bhattacharya, Debojyoti; Iyer, Aravind

Batch verification of ECDSA signatures. (English) Zbl 1291.94190

Mitrokotsa, Aikaterini (ed.) et al., Progress in cryptology – AFRICACRYPT 2012. 5th international conference on cryptology in Africa, Ifrane, Morocco, July 10–12, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-31409-4/pbk). Lecture Notes in Computer Science 7374, 1-18 (2012).
MSC:  94A62
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\textit{S. Karati} et al., Lect. Notes Comput. Sci. 7374, 1--18 (2012; Zbl 1291.94190)
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