## Found 3,911 Documents (Results 1–100)

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### Divisibility by 2 on quartic models of elliptic curves and rational Diophantine $$D(q)$$-quintuples. (English)Zbl 07550937

MSC:  11G05 11D09
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### On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility. (English)Zbl 07543087

MSC:  11G05 11G07
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### Congruences between Ramanujan’s tau function and elliptic curves, and Mazur-Tate elements at additive primes. (English)Zbl 07543023

MSC:  11R23 11S40 11G05
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### On the cohomology of Kobayashi’s plus/minus norm groups and applications. (English)Zbl 07541502

MSC:  11R23 11G05 11S25
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### Simultaneous supersingular reductions of CM elliptic curves. (English)Zbl 07538642

MSC:  11G05 11G15 37A17
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### Generalized Kato classes and exceptional zero conjectures. (English)Zbl 07525028

MSC:  11G05 11G40
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### Pairs of Heron and right triangles with a common area and a common perimeter. (English)Zbl 07523947

MSC:  11D25 11G05
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### Concordant pairs in ratios with rank at least two and the distribution of $$\theta$$-congruent numbers. (English)Zbl 07522860

MSC:  11G05 11D09 11D45
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### On the nonvanishing of generalised Kato classes for elliptic curves of rank 2. (English)Zbl 07514101

MSC:  11G05 11G40
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### Frobenius distributions of elliptic curves in short intervals on average. (English)Zbl 07510926

MSC:  11G05 11N05
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### The Iwasawa main conjectures for $$\operatorname{GL}_2$$ and derivatives of $$p$$-adic $$L$$-functions. (English)Zbl 07507732

MSC:  11R23 11G05 11G40
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### S-unit equations and the asymptotic Fermat conjecture over number fields. (English)Zbl 07505765

Kurşungöz, Kağan (ed.) et al., Number theory. Proceedings of the Journées Arithmétiques, 2019, XXXI, Istanbul University, Turkey, July 1–5, 2019. De Gruyter Proceedings in Mathematics. Berlin: De Gruyter. 83-103 (2022).
MSC:  11D41 11G05 11D61
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### Elliptic curves over totally real quartic fields not containing $$\sqrt{5}$$ are modular. (English)Zbl 07502495

MSC:  11F80 11G05
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### Global methods for the symplectic type of congruences between elliptic curves. (English)Zbl 07498306

MSC:  11G05 11F80 11F33
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### On the growth of $$\mu$$-invariant in Iwasawa theory of supersingular elliptic curves. (English)Zbl 07496909

MSC:  11R23 11G05
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### Errata to: “On second 2-descent and non-congruent numbers”. (English)Zbl 1482.11082

MSC:  11G05 11D25
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### Most elliptic curves over global function fields are torsion free. (English)Zbl 07496894

MSC:  11G05 11F80 11N36
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### Number of rational points of elliptic curves. (English)Zbl 07490779

MSC:  11G05 14G05 11H06
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### $$\Lambda$$-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves. (English)Zbl 07489549

MSC:  11R23 11G05 11R20
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### Rational points on conic bundles over elliptic curves. (English)Zbl 07489515

MSC:  14G05 14F22 11G05
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MSC:  11G05
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### Quadratic points on non-split Cartan modular curves. (English)Zbl 07488463

MSC:  11G05 11G18 14G05
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MSC:  11G05
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### Heegner points and Beilinson-Kato elements: a conjecture of Perrin-Riou. (English)Zbl 07483895

MSC:  11F67 11G40 11G35
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### Group generated by total sextactic points of a family of quartic curves. (English)Zbl 07482349

MSC:  11G30 14H45
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### Arithmetic statistics and noncommutative Iwasawa theory. (English)Zbl 07482152

MSC:  11R23 11G05
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### Rational $$D(q)$$-quadruples. (English)Zbl 07478450

MSC:  11D09 11G05
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### On quartic Diophantine equations with trivial solutions in the Gaussian integer. (English)Zbl 07477347

MSC:  11D25 11G05 11D45
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### Elliptic curves with non-abelian entanglements. (English)Zbl 07474314

MSC:  11G05 11F80
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### On asymptotic Fermat over the $$\mathbb{Z}_2$$-extension of $$\mathbb{Q}$$. (Le théorème de Fermat asymptotique sur la $$\mathbb{Z}_2$$-extension de $$\mathbb{Q}$$.) (English. French summary)Zbl 07472233

MSC:  11D41 11F80 11G05
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### Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above $$p$$. (English. French summary)Zbl 07469022

MSC:  11G05 11R23
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### Tamagawa number divisibility of central $$L$$-values of twists of the Fermat elliptic curve. (English. French summary)Zbl 07469020

MSC:  11G05 14H52 11R23
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### Conjecture a and $$\mu$$-invariant for Selmer groups of supersingular elliptic curves. (English. French summary)Zbl 07469018

MSC:  11G40 11R23 14H52
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### Special values of triple-product $$p$$-adic L-functions and non-crystalline diagonal classes. (English. French summary)Zbl 07469016

MSC:  11G40 11F85
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### Non-divisible point on a two-parameter family of elliptic curves. (English)Zbl 07456314

MSC:  11G05 11G50
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### On class numbers, torsion subgroups, and quadratic twists of elliptic curves. (English)Zbl 07453321

MSC:  11R29 11G05
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### Pairing Pythagorean pairs. (English)Zbl 1484.11104

MSC:  11D72 11G05
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### An approach for computing generators of class fields of imaginary quadratic number fields using the Schwarzian derivative. (English)Zbl 07446419

MSC:  11R37 11R29 11G05
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### On a Diophantine equation. (English)Zbl 1478.11050

MSC:  11D68 11G05
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### Rational $$D(q)$$-quintuples. (English)Zbl 1483.11051

MSC:  11D09 11G05
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### The even parity Goldfeld conjecture: congruent number elliptic curves. (English)Zbl 1484.11131

MSC:  11G05 11G40
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### On polygonal square triangular numbers. II. (English)Zbl 07539886

MSC:  11D09 11G05

### Twisting lemma for $$\Lambda$$-adic modules. (English)Zbl 07534382

MSC:  11R23 11G05 14F99
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MSC:  11G05
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### Ranks in some elliptic curves $$y^2 = x^3 \pm Apx$$. (English)Zbl 07523033

MSC:  11A41 11G05
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### A congruence property of Fourier coefficients for modular forms. (English)Zbl 07523002

MSC:  14H52 11G05 11G07
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### At least rank 2 in several elliptic curves. (English)Zbl 07522998

MSC:  11A41 11G05
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### Efficient key-dependent dynamic S-boxes based on permutated elliptic curves. (English)Zbl 07510170

MSC:  94A60 14G50 11G05
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### Distribution of root numbers of Hecke characters attached to some elliptic curves. (English)Zbl 1484.11132

MSC:  11G05 11G15 11N69
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### On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in $$p$$-adic Lie extensions. (English)Zbl 1483.11115

MSC:  11G05 11R23 11S25
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### What positive integers $$n$$ can be presented in the form $$n=(x+y+z)(1/x+1/y+1/z)$$? (English)Zbl 07493387

MSC:  11D25 11G05 11D88
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### On the classification problem for polynomials $$f$$ with a periodic continued fraction expansion of $$\sqrt{f}$$ in hyperelliptic fields. (English. Russian original)Zbl 1483.11123

Izv. Math. 85, No. 5, 972-1007 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 5, 152-189 (2021).
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### Class number problem for a family of real quadratic fields. (English)Zbl 1483.11111

MSC:  11G05 11R11 11R29
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### Kolyvagin’s work and anticyclotomic tower fields: the supersingular case. (English)Zbl 1483.11116

MSC:  11G05 11R23
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MSC:  11G05
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### Elliptic curves with all quartic twists of the same root number. (English)Zbl 07473072

MSC:  11G05 11G07
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### Elliptic curves with exceptionally large analytic order of the Tate-Shafarevich groups. (English)Zbl 07472577

MSC:  11G05 11G40
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### A conjecture on a symmetric diagonal Diophantine equation of degree six. (English)Zbl 07468701

MSC:  11D45 11G05
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### Iterated integrals related to Feynman integrals associated to elliptic curves. (English)Zbl 1478.81015

Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 519-545 (2021).
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### Rank growth of elliptic curves in non-abelian extensions. (English)Zbl 07456792

MSC:  11G05 11N45
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### Tamagawa products of elliptic curves over $$\mathbb{Q}$$. (English)Zbl 07456279

MSC:  11G05 11G07 11M41
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### On the refined conjectures on Fitting ideals of Selmer groups of elliptic curves with supersingular reduction. (English)Zbl 07456029

MSC:  11R23 11G05 14H52
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### Frobenius lifts and elliptic curves with complex multiplication. (English)Zbl 07453408

MSC:  11G05 11G15 11R37
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### The Mordell-Weil bases for the elliptic curve $$y^2=x^3-m^2x+m^2$$. (English)Zbl 07442479

MSC:  11G05 11D59
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### A variety of Euler’s sum of powers conjecture. (English)Zbl 07442476

MSC:  11D72 11D41 11G05
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### Diophantine geometry on curves over function fields. (English)Zbl 1475.14048

Ji, LizhenTung (ed.) et al., Moduli spaces and locally symmetric spaces. Based on two workshops, Morningside Center of Mathematics, Beijing, China, February 2017 and March 2019. Somerville, MA: International Press; Beijing: Higher Education Press. Surv. Mod. Math. 16, 1-38 (2021).

### Delay encryption. (English)Zbl 1479.94139

Canteaut, Anne (ed.) et al., Advances in cryptology – EUROCRYPT 2021. 40th annual international conference on the theory and applications of cryptographic techniques, Zagreb, Croatia, October 17–21, 2021. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 12696, 302-326 (2021).
MSC:  94A60 11G05
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### Sieving for twin smooth integers with solutions to the Prouhet-Tarry-Escott problem. (English)Zbl 1483.94040

Canteaut, Anne (ed.) et al., Advances in cryptology – EUROCRYPT 2021. 40th annual international conference on the theory and applications of cryptographic techniques, Zagreb, Croatia, October 17–21, 2021. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 12696, 272-301 (2021).
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