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Found 57 Documents (Results 1–57)

Computing the characteristic polynomial of endomorphisms of a finite Drinfeld module using crystalline cohomology. (English) Zbl 07760792

Dickenstein, Alicia (ed.) et al., Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24–27, 2023. New York, NY: Association for Computing Machinery (ACM). 461-469 (2023).
MSC:  68W30
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An effective description of the roots of bivariates \(\bmod p^k\) and the related Igusa’s local zeta function. (English) Zbl 07760756

Dickenstein, Alicia (ed.) et al., Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24–27, 2023. New York, NY: Association for Computing Machinery (ACM). 135-144 (2023).
MSC:  68W30
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Two recent \(p\)-adic approaches towards the (effective) Mordell conjecture. (English) Zbl 1489.14034

Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 31-74 (2021).
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Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in \(p\)-adic cohomology. (English) Zbl 1520.14095

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 221-238 (2019).
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Computing zeta functions of cyclic covers in large characteristic. (English) Zbl 1517.11119

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 37-53 (2019).
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Counting points on genus-3 hyperelliptic curves with explicit real multiplication. (English) Zbl 1532.11079

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 1-19 (2019).
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Sato-Tate distributions. (English) Zbl 1440.11176

Bucur, Alina (ed.) et al., Analytic methods in arithmetic geometry. Arizona winter school 2016, the University of Arizona, Tucson, AZ, USA, March 12–16, 2016. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM). Contemp. Math. 740, 197-248 (2019).
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\(p\)-adic point counting on singular superelliptic curves. (English) Zbl 1408.14099

Lario, Joan-Carles (ed.) et al., Number theory related to modular curves: Momose memorial volume. Proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar in memory of Fumiyuki Momose, Barcelona, Spain, May 21–23, 2012. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 701, 35-52 (2018).
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Characteristic polynomials of \(p\)-adic matrices. (English) Zbl 1462.65038

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). 389-396 (2017).
MSC:  65F15 15B33
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Explicit Coleman integration for hyperelliptic curves. (English) Zbl 1261.14011

Hanrot, Guillaume (ed.) et al., Algorithmic number theory. 9th international symposium, ANTS-IX, Nancy, France, July 19–23, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-14517-9/pbk). Lecture Notes in Computer Science 6197, 16-31 (2010).
MSC:  14G22 11G20
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Generating genus two hyperelliptic curves over large characteristic finite fields. (English) Zbl 1239.94065

Joux, Antoine (ed.), Advances in cryptology – EUROCRYPT 2009. 28th annual international conference on the theory and applications of cryptographic techniques, Cologne, Germany, April 26–30, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-01000-2/pbk). Lecture Notes in Computer Science 5479, 536-553 (2009).
MSC:  94A60 14G50 68W20
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Computing zeta functions in families of \(C_{a,b}\) curves using deformation. (English) Zbl 1189.11060

van der Poorten, Alfred J. (ed.) et al., Algorithmic number theory. 8th international symposium, ANTS-VIII Banff, Canada, May 17–22, 2008 Proceedings. Berlin: Springer (ISBN 978-3-540-79455-4/pbk). Lecture Notes in Computer Science 5011, 296-311 (2008).
MSC:  11Y35 11M41
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Fast algorithms for computing the eigenvalue in the Schoof-Elkies-Atkin algorithm. (English) Zbl 1356.11091

Dumas, Jean-Guillaume (ed.), Proceedings of the 2006 international symposium on symbolic and algebraic computation, ISSAC 06, Genova, Italy, July 9–12, 2006. New York, NY: ACM Press (ISBN 1-59593-276-3). 109-115 (2006).
MSC:  11Y16 68W30
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