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Benli, Kübra; Cesana, Giulia; Dartyge, Cécile; Dombrowsky, Charlotte; Thompson, Lola

Sums of proper divisors with missing digits. (English) Zbl 07919513

Abdellatif, Ramla (ed.) et al., Women in numbers Europe IV. Research directions in number theory. Selected papers based on the presentations at the 4th workshop, WINE 4, Utrecht, the Netherlands, August 29 – September 2, 2022. Cham: Springer. Assoc. Women Math. Ser. 32, 93-110 (2024).

MSC: 11A63 11N37 11A25 11N05 11N36

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Yao Xiao, Stanley

Prime values of \(f(a,b^2)\) and \(f(a,p^2)\), \(f\) quadratic. (English) Zbl 07918118

Algebra Number Theory 18, No. 9, 1619-1679 (2024).

MSC: 11N32 11N35 11N36 11R45

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Bonolis, Dante; Pierce, Lillian B.

Application of a polynomial sieve: beyond separation of variables. (English) Zbl 07918115

Algebra Number Theory 18, No. 8, 1515-1556 (2024).

MSC: 11D45 11D85 11N36

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Dimitrov, S. I.

Primes of the form \([n^c]\) with square-free \(n\). (English) Zbl 07906287

Ukr. Math. J. 76, No. 2, 243-253 (2024); and Ukr. Mat. Zh. 76, No. 2, 224-233 (2024).

Reviewer: Mehdi Hassani (Zanjan)

MSC: 11N05 11N13 11L07 11N36

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Bordignon, Matteo; Starichkova, Valeriia

An explicit version of Chen’s theorem assuming the generalized Riemann hypothesis. (English) Zbl 07904946

Ramanujan J. 64, No. 4, 1213-1242 (2024).

MSC: 11P32 11N36 11N13

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Granville, Andrew; Sedunova, Alisa; Sabuncu, Cihan

The multiplication table constant and sums of two squares. (English) Zbl 07903830

Acta Arith. 214, 499-522 (2024).

MSC: 11N37 11N36

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Friedlander, John B.

When Euler met Brun. (English) Zbl 07903808

Acta Arith. 214, 143-152 (2024).

Reviewer: Mehdi Hassani (Zanjan)

MSC: 11N05 11N36

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Ramaré, Olivier

Notes on restriction theory in the primes. (English) Zbl 07903065

Isr. J. Math. 261, No. 2, 717-738 (2024).

Reviewer: Florian Luca (Johannesburg)

MSC: 11N35 11N36 11L07 11N05 11P32

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Yamada, Tomohiro

Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form. (English) Zbl 07900426

Int. J. Number Theory 20, No. 8, 2139-2167 (2024).

MSC: 11A25 11A05 11N25 11N36

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Goldston, Daniel A.; Panidapu, Apoorva; Schettler, Jordan

Explicit calculations for Sono’s multidimensional sieve of \(E_2\)-numbers. (English) Zbl 07899603

Math. Comput. 93, No. 350, 2943-2958 (2024).

MSC: 11N36 11N25

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Chentouf, A. Anas; Cossaboom, Catherine H.; Goldberg, Samuel E.; Miller, Jack B.

Patterns of primes in joint Sato-Tate distributions. (English) Zbl 07895032

J. Number Theory 263, 297-334 (2024).

MSC: 11F30 11F66 11N05 11N36 11F80

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Kimmel, Noam; Kuperberg, Vivian

Consecutive runs of sums of two squares. (English) Zbl 07894716

J. Number Theory 264, 135-147 (2024).

MSC: 11N05 11N36 11N25

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Wu, Liuying

On the least almost-prime in arithmetic progressions. (English) Zbl 07893397

Czech. Math. J. 74, No. 2, 535-548 (2024).

MSC: 11N13 11N35 11N36

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McGrath, Oliver

On the asymmetric additive energy of polynomials. (English) Zbl 07891372

Trans. Am. Math. Soc. 377, No. 7, 4895-4930 (2024).

Reviewer: Florian Luca (Johannesburg)

MSC: 11N35 11N36 11D45

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Barbulescu, Razvan; Jouve, Florent

ECM and the Elliott-Halberstam conjecture for quadratic fields. (English) Zbl 07889250

Acta Arith. 213, No. 4, 289-324 (2024).

MSC: 11N36 11Y05 11G05 11G15

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Sabuncu, Cihan

Right-angled triangles with almost prime hypotenuse. (English) Zbl 07881678

Res. Number Theory 10, No. 3, Paper No. 60, 14 p. (2024).

Reviewer: Jonas Šiaulys (Vilnius)

MSC: 11N25 11N36

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Zhou, Guang-Liang; Cai, Yingchun

On a conjecture of Petrov and Tolev related to Chen’s theorem. (English) Zbl 07873957

Bull. Malays. Math. Sci. Soc. (2) 47, No. 4, Paper No. 124, 16 p. (2024).

MSC: 11D85 11N36

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Shparlinski, Igor E.

On quadratic fields generated by polynomials. (English) Zbl 07873470

Bull. Aust. Math. Soc. 109, No. 3, 476-485 (2024).

Reviewer: Alexey Ustinov (Khabarovsk)

MSC: 11L40 11N36 11R11

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Chen, Bin

On almost-prime \(k\)-tuples. (English) Zbl 07872248

Int. J. Number Theory 20, No. 6, 1525-1549 (2024).

Reviewer: László Tóth (Pécs)

MSC: 11N05 11N35 11N36

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Hazra, S. G.; Murty, M. Ram; Sivaraman, J.

A note on the two variable Artin’s conjecture. (English) Zbl 07865943

J. Number Theory 262, 161-185 (2024).

Reviewer: Franz Lemmermeyer (Jagstzell)

MSC: 11A07 11N36 11A25 11A41 11N13

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Merikoski, Jori

Exceptional characters and prime numbers in sparse sets. (English) Zbl 07865171

Algebra Number Theory 18, No. 7, 1305-1332 (2024).

Reviewer: Mehdi Hassani (Zanjan)

MSC: 11N32 11N36

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Bilu, Yuri F.; Gun, Sanoli; Naik, Sunil L.

On a non-Archimedean analogue of a question of Atkin and Serre. (English) Zbl 07850201

Math. Ann. 389, No. 2, 1323-1350 (2024).

Reviewer: Andrzej Dąbrowski (Szczecin)

MSC: 11F11 11F30 11F80 11N56 11N05 11N36 11R45

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Kumchev, Angel V.; McNew, Nathan G.; Park, Ariana

Short interval results for powerfree polynomials over finite fields. (English) Zbl 07839472

Int. J. Number Theory 20, No. 3, 867-892 (2024).

Reviewer: Mehdi Hassani (Zanjan)

MSC: 11N32 11N36 11T55

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Luca, Florian; Stǎnicǎ, Pantelimon

Asymptotics on a class of \(S\)-unit integers. (English) Zbl 07829388

Period. Math. Hung. 88, No. 1, 266-272 (2024).

MSC: 11A07 11N13 11N36 11N69

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Baker, Roger

The exceptional set for integers of the form \([p_1^c]+[p_2^c]\). (English) Zbl 07829380

Period. Math. Hung. 88, No. 1, 127-136 (2024).

MSC: 11N36 11L20

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Bhattacharjee, Saunak; Dixit, Anup B.; Saikia, Dishant

An effective bound for generalised Diophantine \(m\)-tuples. (English) Zbl 07828706

Bull. Aust. Math. Soc. 109, No. 2, 242-253 (2024).

Reviewer: Jan-Hendrik Evertse (Leiden)

MSC: 11D45 11D72 11N36

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Lebowitz-Lockard, Noah; Pollack, Paul; Roy, Akash Singha

Distribution mod \(p\) of Euler’s totient and the sum of proper divisors. (English) Zbl 1541.11010

Mich. Math. J. 74, No. 1, 143-166 (2024).

Reviewer: Mehdi Hassani (Zanjan)

MSC: 11A25 11N36 11N64

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Dartyge, Cécile; Martin, Bruno; Rivat, Joël; Shparlinski, Igor E.; Swaenepoel, Cathy

Reversible primes. (English) Zbl 07825018

J. Lond. Math. Soc., II. Ser. 109, No. 3, Article ID e12883, 38 p. (2024).

Reviewer: Lukas Spiegelhofer (Leoben)

MSC: 11A63 11N05 11N36

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Li, Guoquan

Enveloping sieve related to the Hardy-Littlewood irreducible tuple conjecture in a function field. (English) Zbl 07814057

Finite Fields Appl. 95, Article ID 102383, 57 p. (2024).

MSC: 11N36 11T06 11T55

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Carrillo Santana, Sebastián

The first negative Fourier coefficient of an Eisenstein series newform. (English) Zbl 1541.11042

Ramanujan J. 63, No. 3, 687-697 (2024).

Reviewer: İlker İnam (Bilecik)

MSC: 11F30 11N36

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Zhu, Wenbin

Some problems about friable numbers in Piatetski-Shapiro sequence. (English) Zbl 07812002

Ramanujan J. 63, No. 3, 603-656 (2024).

Reviewer: Giovanni Coppola (Napoli)

MSC: 11L07 11N25 11B83 11J71 11P32 11N36

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Matomäki, Kaisa; Teräväinen, Joni

Products of primes in arithmetic progressions. (English) Zbl 07810139

J. Reine Angew. Math. 808, 193-240 (2024).

Reviewer: Mehdi Hassani (Zanjan)

MSC: 11N13 11P32 11N36

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Mangerel, Alexander P.

Large sums of high-order characters. (English) Zbl 07809014

J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12841, 44 p. (2024).

Reviewer: Mehdi Hassani (Zanjan)

MSC: 11L40 11N64 11P70 11N25 11N36

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Nath, Kunjakanan

Primes with a missing digit: distribution in arithmetic progressions and an application in sieve theory. (English) Zbl 1541.11077

J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12837, 59 p. (2024).

Reviewer: Olivier Bordellès (Aiguilhe)

MSC: 11N05 11N13 11N36

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Li, Jinjiang; Xue, Fei; Zhang, Min

A quaternary Diophantine inequality with prime numbers of a special form. (English) Zbl 07796578

Ramanujan J. 63, No. 2, 259-291 (2024).

Reviewer: Mehdi Hassani (Zanjan)

MSC: 11L07 11L20 11P05 11P32 11N36

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Banerjee, Soumyarup

On a conjecture of Sun about sums of restricted squares. (English) Zbl 07794613

J. Number Theory 256, 253-289 (2024).

MSC: 11P05 11F37 11N35 11N36 11P32

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Friedlander, Holley; Fuchs, Elena; Harris, Piper; Hsu, Catherine; Rickards, James; Sanden, Katherine; Schindler, Damaris; Stange, Katherine E.

Prime and thickened prime components in Apollonian circle packings. arXiv:2410.00177

Preprint, arXiv:2410.00177 [math.NT] (2024).

MSC: 52C26 11D09 11N32 11E12 11N36

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Tenenbaum, Gérald; Wu, Jie

Moyennes de certaines fonctions multiplicatives sur les entiers friables, 3. arXiv:2409.14372

Preprint, arXiv:2409.14372 [math.NT] (2024).

MSC: 11N25 11N35 11N36 11N56 11C08

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Lau, Cheuk Fung

Residue Class Patterns of Consecutive Primes. arXiv:2409.12819

Preprint, arXiv:2409.12819 [math.NT] (2024).

MSC: 11N05 11N13 11N36

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Pagano, Carlo; Sofos, Efthymios

Diophantine stability and second order terms. arXiv:2409.12144

Preprint, arXiv:2409.12144 [math.NT] (2024).

MSC: 11E12 11N36 14G05

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Wilson, Cameron

Local solubility of a family of ternary conics over a biprojective base I. arXiv:2409.10688

Preprint, arXiv:2409.10688 [math.NT] (2024).

MSC: 14G05 11G99 11N36

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Jaskari, Mikko; Sachpazis, Stelios

The Chowla conjecture and Landau-Siegel zeroes. arXiv:2409.10663

Preprint, arXiv:2409.10663 [math.NT] (2024).

MSC: 11N36 11N37

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Banerjee, Soumyarup; Kane, Ben; Kim, Daejun

Sums of generalized polygonal numbers of almost prime ”length”. arXiv:2409.07895

Preprint, arXiv:2409.07895 [math.NT] (2024).

MSC: 11F27 11F37 11E20 11E45 11N36

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Rahaman, Habibur

Primes in Tuples of Linear Forms in Number Fields and Function Fields. arXiv:2409.04705

Preprint, arXiv:2409.04705 [math.NT] (2024).

MSC: 11N05 11N36 11T06

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Dubbe, Thomas

The automaticity of the set of primes. arXiv:2409.04314

Preprint, arXiv:2409.04314 [math.NT] (2024).

MSC: 11B85 11N36

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Dubbe, Thomas

Explicit bounds for prime K-tuplets. arXiv:2409.04261

Preprint, arXiv:2409.04261 [math.NT] (2024).

MSC: 11N35 11N36 11N05

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Bhattacharya, Soumya; Rahaman, Habibur

Primes and polygonal numbers. arXiv:2408.13650

Preprint, arXiv:2408.13650 [math.NT] (2024).

MSC: 11N32 11N13 11N36 11P32 11B25 11B05

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Wong, Peng-Jie

Square-free orders for CM elliptic curves modulo \(p\) in short intervals. arXiv:2408.05904

Preprint, arXiv:2408.05904 [math.NT] (2024).

MSC: 11N45 11G05 11N36

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Bhattacharjee, Saunak; Dixit, Anup B.

On the distribution of \(\phi(\sigma(n))\). arXiv:2408.01936

Preprint, arXiv:2408.01936 [math.NT] (2024).

MSC: 11N37 11N36 11N64

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Baier, Stephan; Rahaman, Habibur

Diophantine Approximation with Piatetski-Shapiro Primes. arXiv:2408.01314

Preprint, arXiv:2408.01314 [math.NT] (2024).

MSC: 11J25 11J54 11J71 11L07 11L20 11N36

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Chan, Stephanie

Almost all elliptic curves with prescribed torsion have Szpiro ratio close to the expected value. arXiv:2407.13850

Preprint, arXiv:2407.13850 [math.NT] (2024).

MSC: 11G05 11N36 11R29

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Voskou, Marios

Refined Counting of Geodesic Segments in the Hyperbolic Plane. arXiv:2407.03134

Preprint, arXiv:2407.03134 [math.NT] (2024).

MSC: 11F72 11N45 11N36 11N75

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Fan, Steve

The shifted prime-divisor function over shifted primes. arXiv:2406.05217

Preprint, arXiv:2406.05217 [math.NT] (2024).

MSC: 11N36 11N37 11B05

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Kimmel, Noam; Kuperberg, Vivian

Positive density for consecutive runs of sums of two squares. arXiv:2406.04174

Preprint, arXiv:2406.04174 [math.NT] (2024).

MSC: 11N69 11N36

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Matomäki, Kaisa; Alterman, Sebastian Zuniga

Weighted sieves with switching. arXiv:2405.19063

Preprint, arXiv:2405.19063 [math.NT] (2024).

MSC: 11N35 11N36 11A41 11N80

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Ramaré, Olivier; Alterman, Sebastian Zuniga

An \(L^2\)-bound for the Barban-Vehov weights. arXiv:2405.12662

Preprint, arXiv:2405.12662 [math.NT] (2024).

MSC: 11A25 11N36

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Kumaraswamy, V. Vinay; Rome, Nick

On a conjecture of Wooley and lower bounds for cubic hypersurfaces. arXiv:2405.04234

Preprint, arXiv:2405.04234 [math.NT] (2024).

MSC: 11D45 11P55 14G05 11D25 11N36

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Sono, Keiju

An explicit lower bound for large gaps between some consecutive primes. arXiv:2404.06951

Preprint, arXiv:2404.06951 [math.NT] (2024).

MSC: 11N36

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Dunn, Alexander

Metaplectic cusp forms and the large sieve. arXiv:2403.13151

Preprint, arXiv:2403.13151 [math.NT] (2024).

MSC: 11F27 11F30 11L05 11L20 11N36

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Fernández, José L.; Fernández, Pablo

Counting coprime pairs in random squares. arXiv:2403.12752

Preprint, arXiv:2403.12752 [math.NT] (2024).

MSC: 11K65 11N36 11A51

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Banks, William D.

Consecutive primes and IP sets. arXiv:2403.10637

Preprint, arXiv:2403.10637 [math.NT] (2024).

MSC: 11N05 11N36 11B75

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Browning, Tim; Verzobio, Matteo

Strong divisibility sequences and sieve methods. arXiv:2402.19301

Preprint, arXiv:2402.19301 [math.NT] (2024).

MSC: 11N36 11A41 11A51 11B39 11B83 11G05

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Pollack, Paul; Roy, Akash Singha

Mean values of multiplicative functions and applications to residue-class distribution. arXiv:2402.16266

Preprint, arXiv:2402.16266 [math.NT] (2024).

MSC: 11A25 11N36 11N64

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Wang, Tian

Distribution of supersingular primes for abelian surfaces. arXiv:2402.12218

Preprint, arXiv:2402.12218 [math.NT] (2024).

MSC: 11G10 11N45 11G18 11N13 11N36

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Chen, Bin

Small gaps between almost-twin primes. arXiv:2402.00748

Preprint, arXiv:2402.00748 [math.NT] (2024).

MSC: 11N05 11N35 11N36

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Paterson, Ross

2-Selmer Groups over Multiquadratic Extensions. arXiv:2401.08828

Preprint, arXiv:2401.08828 [math.NT] (2024).

MSC: 11G05 11G07 11N36 11N45 11R45

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Akande, Agbolade Patrick

Uniform distribution of polynomially-defined additive function to varying moduli. arXiv:2401.04199

Preprint, arXiv:2401.04199 [math.NT] (2024).

MSC: 11A25 11N64 11N36

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Karras, Meselem

Asymptotic formula for the multiplicative function \(\frac{d(n)}{k^{\omega(n)}}\). (English) Zbl 07894518

Commun. Math. 31, No. 1, 13-19 (2023).

Reviewer: Mehdi Hassani (Zanjan)

MSC: 11N37 11A25 11N36

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Bonolis, Dante; Browing, Tim

Erratum to: “Uniform bounds for rational points on hyperelliptic fibrations”. (English) Zbl 1539.11060

Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 4, 2501-2504 (2023).

MSC: 11D45 14G05 11L40 11N36

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Gamburd, Alexander

Arithmetic and dynamics on varieties of Markoff type. (English) Zbl 07823043

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1800-1836 (2023).

MSC: 14G12 11N36 11D45 37P55

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Tao, Terence; Ziegler, Tamar

Infinite partial sumsets in the primes. (English) Zbl 07793431

J. Anal. Math. 151, No. 1, 375-389 (2023).

Reviewer: Jonas Šiaulys (Vilnius)

MSC: 11N05 11P32 11N36 37A44

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Li, Jiamin; Liu, Jianya

Triples of almost primes. (English) Zbl 07786160

Sci. China, Math. 66, No. 12, 2779-2794 (2023).

Reviewer: Yong-Gao Chen (Nanjing)

MSC: 11N25 11N36

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Merikoski, Jori

The polynomials \(X^2+(Y^2+1)^2\) and \(X^2 + (Y^3+Z^3)^2\) also capture their primes. (English) Zbl 1540.11127

Proc. Lond. Math. Soc. (3) 127, No. 4, 1057-1133 (2023).

Reviewer: Mehdi Hassani (Zanjan)

MSC: 11N32 11N36

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Kumar, Arvind; Kumari, Moni

Divisors of Fourier coefficients of two newforms. (English) Zbl 1541.11043

Pac. J. Math. 326, No. 1, 85-107 (2023).

Reviewer: David Lowry-Duda (Providence)

MSC: 11F30 11N36 11F33 11F80

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Bonnetain, Xavier; Chailloux, André; Schrottenloher, André; Shen, Yixin

Finding many collisions via reusable quantum walks. Application to lattice sieving. (English) Zbl 1535.81056

Hazay, Carmit (ed.) et al., Advances in cryptology – EUROCRYPT 2023. 42nd annual international conference on the theory and applications of cryptographic techniques, Lyon, France, April 23–27, 2023. Proceedings. Part V. Cham: Springer. Lect. Notes Comput. Sci. 14008, 221-251 (2023).

MSC: 81P68 60K50 81P70 81U05 90B40 11N36 05C70 81P94 94A60