Bui, Hung M.; Goldston, Daniel A.; Milinovich, Micah B.; Montgomery, Hugh L. Small gaps and small spacings between zeta zeros. (English) Zbl 07771569 Acta Arith. 210, 133-153 (2023). MSC: 11M06 11M26 PDFBibTeX XMLCite \textit{H. M. Bui} et al., Acta Arith. 210, 133--153 (2023; Zbl 07771569) Full Text: DOI arXiv
Brüdern, Jörg Another Waring-Goldbach problem. (English) Zbl 07771568 Acta Arith. 210, 125-132 (2023). Reviewer: Michael Th. Rassias (Vari) MSC: 11P55 11P32 PDFBibTeX XMLCite \textit{J. Brüdern}, Acta Arith. 210, 125--132 (2023; Zbl 07771568) Full Text: DOI
Dixit, Anup B.; Murty, M. Ram On Ihara’s conjectures for Euler-Kronecker constants. (English) Zbl 07771567 Acta Arith. 210, 95-123 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M20 11R44 11N13 11M36 PDFBibTeX XMLCite \textit{A. B. Dixit} and \textit{M. R. Murty}, Acta Arith. 210, 95--123 (2023; Zbl 07771567) Full Text: DOI
Pintz, János A new explicit formula in the additive theory of primes with applications. I: The explicit formula for the Goldbach problem and the Generalized Twin Prime Problem. (English) Zbl 07771566 Acta Arith. 210, 53-94 (2023). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P32 11P55 11M20 11M26 PDFBibTeX XMLCite \textit{J. Pintz}, Acta Arith. 210, 53--94 (2023; Zbl 07771566) Full Text: DOI
Ghidelli, Luca On gaps between sums of four fourth powers. (English) Zbl 07770417 Acta Arith. 208, No. 4, 295-324 (2023). Reviewer: Jean-Marc Deshouillers (Bordeaux) MSC: 11P05 11P55 11B05 PDFBibTeX XMLCite \textit{L. Ghidelli}, Acta Arith. 208, No. 4, 295--324 (2023; Zbl 07770417) Full Text: DOI arXiv
de la Bretèche, Régis; Tenenbaum, Gérald Note on a conjecture of Hildebrand regarding friable integers. (English) Zbl 07732771 Acta Arith. 208, No. 3, 279-283 (2023). Reviewer: Florian Luca (Johannesburg) MSC: 11N25 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{G. Tenenbaum}, Acta Arith. 208, No. 3, 279--283 (2023; Zbl 07732771) Full Text: DOI arXiv
Diao, Yijie Density of the union of positive diagonal binary quadratic forms. (English) Zbl 1528.11021 Acta Arith. 207, No. 1, 1-17 (2023). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E16 11N56 PDFBibTeX XMLCite \textit{Y. Diao}, Acta Arith. 207, No. 1, 1--17 (2023; Zbl 1528.11021) Full Text: DOI arXiv
Banks, William D. On the distribution of reduced fractions with squarefree denominators. (English) Zbl 1516.11082 Acta Arith. 206, No. 1, 1-34 (2022). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11M26 11B57 11N56 PDFBibTeX XMLCite \textit{W. D. Banks}, Acta Arith. 206, No. 1, 1--34 (2022; Zbl 1516.11082) Full Text: DOI
Gao, Peng; He, Xiaoguang; Wu, Xiaosheng Bounds for moments of modular \(L\)-functions to a fixed modulus. (English) Zbl 1503.11118 Acta Arith. 205, No. 2, 161-189 (2022). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 PDFBibTeX XMLCite \textit{P. Gao} et al., Acta Arith. 205, No. 2, 161--189 (2022; Zbl 1503.11118) Full Text: DOI arXiv
Brüdern, Jörg; Wooley, Trevor D. On smooth Weyl sums over biquadrates and Waring’s problem. (English) Zbl 1504.11103 Acta Arith. 204, No. 1, 19-40 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11L15 11P55 PDFBibTeX XMLCite \textit{J. Brüdern} and \textit{T. D. Wooley}, Acta Arith. 204, No. 1, 19--40 (2022; Zbl 1504.11103) Full Text: DOI arXiv
Carneiro, Emanuel; Chirre, Andrés; Helfgott, Harald Andrés; Mejía-Cordero, Julián Optimality for the two-parameter quadratic sieve. (English) Zbl 1501.11092 Acta Arith. 203, No. 3, 195-226 (2022). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N35 11N37 PDFBibTeX XMLCite \textit{E. Carneiro} et al., Acta Arith. 203, No. 3, 195--226 (2022; Zbl 1501.11092) Full Text: DOI arXiv
Boyer, Simon; Robert, Olivier Rational points on an intersection of diagonal forms. (English) Zbl 1505.11131 Acta Arith. 203, No. 2, 165-194 (2022). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P55 11D72 11D45 11D41 11L07 PDFBibTeX XMLCite \textit{S. Boyer} and \textit{O. Robert}, Acta Arith. 203, No. 2, 165--194 (2022; Zbl 1505.11131) Full Text: DOI arXiv
Car, Mireille; Mauduit, Christian Completely \(Q\)-additive functions along irreducible polynomials with coefficients in a finite field. (Fonctions complètement \(Q\)-additives le long des polynômes irréductibles à coefficients dans un corps fini.) (French. English summary) Zbl 1511.11100 Acta Arith. 203, No. 2, 97-136 (2022). MSC: 11T23 11T06 11T55 PDFBibTeX XMLCite \textit{M. Car} and \textit{C. Mauduit}, Acta Arith. 203, No. 2, 97--136 (2022; Zbl 1511.11100) Full Text: DOI
Zuniga Alterman, Sebastian On a logarithmic sum related to the Selberg sieve. (English) Zbl 1490.11092 Acta Arith. 202, No. 2, 123-160 (2022). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N35 11N37 11N56 11A05 11A25 11A41 11N64 PDFBibTeX XMLCite \textit{S. Zuniga Alterman}, Acta Arith. 202, No. 2, 123--160 (2022; Zbl 1490.11092) Full Text: DOI arXiv
Pollack, Paul; Roy, Akash Singha Joint distribution in residue classes of polynomial-like multiplicative functions. (English) Zbl 1492.11007 Acta Arith. 202, No. 1, 89-104 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11A25 11N36 11N64 PDFBibTeX XMLCite \textit{P. Pollack} and \textit{A. S. Roy}, Acta Arith. 202, No. 1, 89--104 (2022; Zbl 1492.11007) Full Text: DOI arXiv
Kiuchi, Isao On sums of sums involving squarefull numbers. (English) Zbl 1497.11239 Acta Arith. 200, No. 2, 197-211 (2021). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11A25 PDFBibTeX XMLCite \textit{I. Kiuchi}, Acta Arith. 200, No. 2, 197--211 (2021; Zbl 1497.11239) Full Text: DOI
Brandes, Julia; Wooley, Trevor D. Optimal mean value estimates beyond Vinogradov’s mean value theorem. (English) Zbl 1497.11191 Acta Arith. 200, No. 2, 149-182 (2021). MSC: 11L15 11D45 11L07 11P55 PDFBibTeX XMLCite \textit{J. Brandes} and \textit{T. D. Wooley}, Acta Arith. 200, No. 2, 149--182 (2021; Zbl 1497.11191) Full Text: DOI arXiv
Táfula, Christian On Landau-Siegel zeros and heights of singular moduli. (English) Zbl 1483.11183 Acta Arith. 201, No. 1, 1-28 (2021). MSC: 11M20 11G50 11N37 PDFBibTeX XMLCite \textit{C. Táfula}, Acta Arith. 201, No. 1, 1--28 (2021; Zbl 1483.11183) Full Text: DOI arXiv Backlinks: MO
Goldston, D. A.; Suriajaya, Ade Irma A singular series average and the zeros of the Riemann zeta-function. (English) Zbl 1507.11084 Acta Arith. 200, No. 1, 71-90 (2021). Reviewer: Giovanni Coppola (Napoli) MSC: 11N05 11M26 PDFBibTeX XMLCite \textit{D. A. Goldston} and \textit{A. I. Suriajaya}, Acta Arith. 200, No. 1, 71--90 (2021; Zbl 1507.11084) Full Text: DOI arXiv
Munsch, Marc A large sieve inequality for power moduli. (English) Zbl 1471.11248 Acta Arith. 197, No. 2, 207-211 (2021). Reviewer: John H. Loxton (Greenwich) MSC: 11N35 11B57 11L03 11L07 PDFBibTeX XMLCite \textit{M. Munsch}, Acta Arith. 197, No. 2, 207--211 (2021; Zbl 1471.11248) Full Text: DOI arXiv
Palmer, Matthew The Duffin-Schaeffer theorem in number fields. (English) Zbl 1471.11211 Acta Arith. 196, No. 1, 1-16 (2020). Reviewer: Simon Kristensen (Aarhus) MSC: 11J17 11J83 11K60 PDFBibTeX XMLCite \textit{M. Palmer}, Acta Arith. 196, No. 1, 1--16 (2020; Zbl 1471.11211) Full Text: DOI arXiv
Baker, Roger A theorem of Bombieri-Vinogradov type with few exceptional moduli. (English) Zbl 1452.11113 Acta Arith. 195, No. 3, 313-325 (2020). Reviewer: István Mező (Nanjing) MSC: 11N13 PDFBibTeX XMLCite \textit{R. Baker}, Acta Arith. 195, No. 3, 313--325 (2020; Zbl 1452.11113) Full Text: DOI arXiv
Gao, Peng Mean values of divisors twisted by quadratic characters. (English) Zbl 1472.11253 Acta Arith. 195, No. 1, 69-82 (2020). Reviewer: Marco Aymone (Belo Horizonte) MSC: 11N37 11L40 PDFBibTeX XMLCite \textit{P. Gao}, Acta Arith. 195, No. 1, 69--82 (2020; Zbl 1472.11253) Full Text: DOI arXiv
Liu, Zhixin; Zhang, Rui Small solutions of an equation with unequal powers of primes. (English) Zbl 1459.11196 Acta Arith. 195, No. 1, 57-68 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P32 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{R. Zhang}, Acta Arith. 195, No. 1, 57--68 (2020; Zbl 1459.11196) Full Text: DOI
Cohen, Peter; Cordwell, Katherine; Epstein, Alyssa; Kwan, Chung-Hang; Lott, Adam; Miller, Steven J. On near-perfect numbers. (English) Zbl 1465.11036 Acta Arith. 194, No. 4, 341-366 (2020). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11N25 11B83 PDFBibTeX XMLCite \textit{P. Cohen} et al., Acta Arith. 194, No. 4, 341--366 (2020; Zbl 1465.11036) Full Text: DOI arXiv
Debruyne, Gregory; Maes, Frederick; Vindas, Jasson Halász’s theorem for Beurling generalized numbers. (English) Zbl 1462.11074 Acta Arith. 194, No. 1, 59-72 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11N37 11N80 11N05 11N64 11M41 PDFBibTeX XMLCite \textit{G. Debruyne} et al., Acta Arith. 194, No. 1, 59--72 (2020; Zbl 1462.11074) Full Text: DOI arXiv Link
Chen, Yong-Gao; Tian, Hao Diophantine equations involving Euler’s totient function. (English) Zbl 1436.11009 Acta Arith. 191, No. 1, 33-65 (2019). Reviewer: Florian Luca (Johannesburg) MSC: 11A25 11D61 11D72 11N36 PDFBibTeX XMLCite \textit{Y.-G. Chen} and \textit{H. Tian}, Acta Arith. 191, No. 1, 33--65 (2019; Zbl 1436.11009) Full Text: DOI arXiv
Inoue, Shōta Relations among some conjectures on the Möbius function and the Riemann zeta-function. (English) Zbl 1452.11103 Acta Arith. 191, No. 1, 1-32 (2019). MSC: 11M26 11M06 PDFBibTeX XMLCite \textit{S. Inoue}, Acta Arith. 191, No. 1, 1--32 (2019; Zbl 1452.11103) Full Text: DOI arXiv
Ge, Fan The number of zeros of \(L'(s,\chi)\). (English) Zbl 1466.11057 Acta Arith. 190, No. 2, 127-138 (2019). Reviewer: Thomas Oliver (Nottingham) MSC: 11M06 11M26 PDFBibTeX XMLCite \textit{F. Ge}, Acta Arith. 190, No. 2, 127--138 (2019; Zbl 1466.11057) Full Text: DOI
Yau, Kam Hung Distribution of \(\alpha n +\beta \) modulo 1 over integers free from large and small primes. (English) Zbl 1436.11099 Acta Arith. 189, No. 1, 95-107 (2019). Reviewer: Kaisa Matomäki (Turku) MSC: 11K60 11L07 11N36 PDFBibTeX XMLCite \textit{K. H. Yau}, Acta Arith. 189, No. 1, 95--107 (2019; Zbl 1436.11099) Full Text: DOI arXiv
Afshar, Ardavan; Porritt, Sam The function field Sathe-Selberg formula in arithmetic progressions and ‘short intervals’. (English) Zbl 1464.11132 Acta Arith. 187, No. 2, 101-124 (2019). MSC: 11T55 11M38 PDFBibTeX XMLCite \textit{A. Afshar} and \textit{S. Porritt}, Acta Arith. 187, No. 2, 101--124 (2019; Zbl 1464.11132) Full Text: DOI arXiv
Brüdern, Jörg Approximations to Weyl sums. (English) Zbl 1434.11167 Acta Arith. 184, No. 3, 287-296 (2018). MSC: 11L15 11P55 PDFBibTeX XMLCite \textit{J. Brüdern}, Acta Arith. 184, No. 3, 287--296 (2018; Zbl 1434.11167) Full Text: DOI
Bzdęga, Bartłomiej; Herrera-Poyatos, Andrés; Moree, Pieter Cyclotomic polynomials at roots of unity. (English) Zbl 1435.11060 Acta Arith. 184, No. 3, 215-230 (2018). Reviewer: Gennady Bachman (Las Vegas) MSC: 11C08 11R09 PDFBibTeX XMLCite \textit{B. Bzdęga} et al., Acta Arith. 184, No. 3, 215--230 (2018; Zbl 1435.11060) Full Text: DOI arXiv
Hu, Liqun; Yang, Li Sums of the triple divisor function over values of a quaternary quadratic form. (English) Zbl 1428.11170 Acta Arith. 183, No. 1, 63-85 (2018). Reviewer: Giovanni Coppola (Avellino) MSC: 11N37 11P05 11P32 PDFBibTeX XMLCite \textit{L. Hu} and \textit{L. Yang}, Acta Arith. 183, No. 1, 63--85 (2018; Zbl 1428.11170) Full Text: DOI
Ge, Wenxu; Wang, Tianqin On Diophantine problems with mixed powers of primes. (English) Zbl 1422.11205 Acta Arith. 182, No. 2, 183-199 (2018). MSC: 11P32 11D75 11P55 PDFBibTeX XMLCite \textit{W. Ge} and \textit{T. Wang}, Acta Arith. 182, No. 2, 183--199 (2018; Zbl 1422.11205) Full Text: DOI
Pongsriiam, Prapanpong; Vaughan, Robert C. The divisor function on residue classes. II. (English) Zbl 1439.11255 Acta Arith. 182, No. 2, 133-181 (2018). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A25 PDFBibTeX XMLCite \textit{P. Pongsriiam} and \textit{R. C. Vaughan}, Acta Arith. 182, No. 2, 133--181 (2018; Zbl 1439.11255) Full Text: DOI
Chow, Sam A note on rational points near planar curves. (English) Zbl 1406.11072 Acta Arith. 177, No. 4, 393-396 (2017). MSC: 11J83 11J13 PDFBibTeX XMLCite \textit{S. Chow}, Acta Arith. 177, No. 4, 393--396 (2017; Zbl 1406.11072) Full Text: DOI arXiv Link
Drappeau, Sary; Shao, Xuancheng Weyl sums, mean value estimates, and Waring’s problem with friable numbers. (English) Zbl 1385.11052 Acta Arith. 176, No. 3, 249-299 (2016). Reviewer: Ram Krishna Pandey (Roorkee) MSC: 11L07 11P05 11N25 PDFBibTeX XMLCite \textit{S. Drappeau} and \textit{X. Shao}, Acta Arith. 176, No. 3, 249--299 (2016; Zbl 1385.11052) Full Text: DOI arXiv
Wooley, Trevor D. On Waring’s problem for intermediate powers. (English) Zbl 1408.11095 Acta Arith. 176, No. 3, 241-247 (2016). MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Acta Arith. 176, No. 3, 241--247 (2016; Zbl 1408.11095) Full Text: DOI arXiv
Zhang, Meng An asymptotic formula related to the sums of divisors. (English) Zbl 1355.11098 Acta Arith. 175, No. 2, 183-200 (2016). Reviewer: Eira J. Scourfield (Egham) MSC: 11N37 11P55 11L03 PDFBibTeX XMLCite \textit{M. Zhang}, Acta Arith. 175, No. 2, 183--200 (2016; Zbl 1355.11098) Full Text: DOI
Kaptan, Deniz A. A note on small gaps between primes in arithmetic progressions. (English) Zbl 1337.11061 Acta Arith. 172, No. 4, 351-375 (2016). Reviewer: Lajos Hajdu (Debrecen) MSC: 11N05 11N13 PDFBibTeX XMLCite \textit{D. A. Kaptan}, Acta Arith. 172, No. 4, 351--375 (2016; Zbl 1337.11061) Full Text: DOI arXiv
Bérczes, Attila; Luca, Florian; Pink, István; Ziegler, Volker Finiteness results for Diophantine triples with repdigit values. (English) Zbl 1402.11013 Acta Arith. 172, No. 2, 133-148 (2016). MSC: 11A63 11D61 PDFBibTeX XMLCite \textit{A. Bérczes} et al., Acta Arith. 172, No. 2, 133--148 (2016; Zbl 1402.11013) Full Text: DOI arXiv Link
Wang, Yingnan A density theorem and extreme values of automorphic \(L\)-functions at one. (English) Zbl 1394.11043 Acta Arith. 170, No. 3, 199-229 (2015). Reviewer: Matteo Longo (Padova) MSC: 11F67 PDFBibTeX XMLCite \textit{Y. Wang}, Acta Arith. 170, No. 3, 199--229 (2015; Zbl 1394.11043) Full Text: DOI
Wooley, Trevor D. Sums of three cubes. II. (English) Zbl 1408.11094 Acta Arith. 170, No. 1, 73-100 (2015). MSC: 11P05 11L15 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Acta Arith. 170, No. 1, 73--100 (2015; Zbl 1408.11094) Full Text: DOI arXiv
Suzuki, Masatoshi Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines. (English) Zbl 1428.11150 Acta Arith. 170, No. 1, 47-65 (2015). Reviewer: Ghaith A. Hiary (Columbus) MSC: 11M26 11M50 11N64 PDFBibTeX XMLCite \textit{M. Suzuki}, Acta Arith. 170, No. 1, 47--65 (2015; Zbl 1428.11150) Full Text: DOI arXiv
Brandes, Julia Sums and differences of power-free numbers. (English) Zbl 1391.11123 Acta Arith. 169, No. 2, 169-180 (2015). Reviewer: Stephan Baier (West Bengal) MSC: 11N25 11N35 PDFBibTeX XMLCite \textit{J. Brandes}, Acta Arith. 169, No. 2, 169--180 (2015; Zbl 1391.11123) Full Text: DOI arXiv
Pongsriiam, Prapanpong; Vaughan, Robert C. The divisor function on residue classes. I. (English) Zbl 1325.11100 Acta Arith. 168, No. 4, 369-381 (2015). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A25 11B25 PDFBibTeX XMLCite \textit{P. Pongsriiam} and \textit{R. C. Vaughan}, Acta Arith. 168, No. 4, 369--381 (2015; Zbl 1325.11100) Full Text: DOI
Akbal, Yıldırım; Güloğlu, Ahmet Muhtar Piatetski-Shapiro meets Chebotarev. (English) Zbl 1317.11081 Acta Arith. 167, No. 4, 301-325 (2015). Reviewer: Huaning Liu (Shaanxi) MSC: 11L07 11R45 11B83 PDFBibTeX XMLCite \textit{Y. Akbal} and \textit{A. M. Güloğlu}, Acta Arith. 167, No. 4, 301--325 (2015; Zbl 1317.11081) Full Text: DOI Link
Büthe, Jan A Brun-Titchmarsh inequality for weighted sums over prime numbers. (English) Zbl 1317.11100 Acta Arith. 166, No. 3, 289-299 (2014). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N36 11N13 PDFBibTeX XMLCite \textit{J. Büthe}, Acta Arith. 166, No. 3, 289--299 (2014; Zbl 1317.11100) Full Text: DOI arXiv
Liu, Ricky Ini Coefficients of a relative of cyclotomic polynomials. (English) Zbl 1350.11041 Acta Arith. 165, No. 4, 301-325 (2014). MSC: 11C08 11B83 PDFBibTeX XMLCite \textit{R. I. Liu}, Acta Arith. 165, No. 4, 301--325 (2014; Zbl 1350.11041) Full Text: DOI arXiv
Gafni, Ayla Counting rational points near planar curves. (English) Zbl 1316.11065 Acta Arith. 165, No. 1, 91-100 (2014). Reviewer: Enrico Zoli (Firenze) MSC: 11J83 11K60 11J13 PDFBibTeX XMLCite \textit{A. Gafni}, Acta Arith. 165, No. 1, 91--100 (2014; Zbl 1316.11065) Full Text: DOI arXiv