Fiorilli, Daniel; Martin, Greg Disproving Hooley’s conjecture. (English) Zbl 07774917 J. Eur. Math. Soc. (JEMS) 25, No. 12, 4791-4812 (2023). Reviewer: Lukas Spiegelhofer (Leoben) MSC: 11N13 11M26 PDFBibTeX XMLCite \textit{D. Fiorilli} and \textit{G. Martin}, J. Eur. Math. Soc. (JEMS) 25, No. 12, 4791--4812 (2023; Zbl 07774917) Full Text: DOI
Klurman, Oleksiy; Mangerel, Alexander P.; Teräväinen, Joni Correlations of multiplicative functions in function fields. (English) Zbl 07740595 Mathematika 69, No. 1, 155-231 (2023). MSC: 11T55 11N37 PDFBibTeX XMLCite \textit{O. Klurman} et al., Mathematika 69, No. 1, 155--231 (2023; Zbl 07740595) Full Text: DOI arXiv OA License
de la Bretèche, R.; Fiorilli, D. Moments of moments of primes in arithmetic progressions. (English) Zbl 07740473 Proc. Lond. Math. Soc. (3) 127, No. 1, 165-220 (2023). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N13 11M26 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{D. Fiorilli}, Proc. Lond. Math. Soc. (3) 127, No. 1, 165--220 (2023; Zbl 07740473) Full Text: DOI arXiv
Kuperberg, Vivian; Rodgers, Brad; Roditty-Gershon, Edva Sums of singular series and primes in short intervals in algebraic number fields. (English) Zbl 1499.11285 Ramanujan J. 58, No. 2, 291-317 (2022). MSC: 11N05 11R47 PDFBibTeX XMLCite \textit{V. Kuperberg} et al., Ramanujan J. 58, No. 2, 291--317 (2022; Zbl 1499.11285) Full Text: DOI arXiv
Kuperberg, Vivian; Lalín, Matilde Sums of divisor functions and von Mangoldt convolutions in \(\mathbb{F}_q [T]\) leading to symplectic distributions. (English) Zbl 1499.11295 Forum Math. 34, No. 3, 711-747 (2022). MSC: 11N60 05A15 11M50 11N56 PDFBibTeX XMLCite \textit{V. Kuperberg} and \textit{M. Lalín}, Forum Math. 34, No. 3, 711--747 (2022; Zbl 1499.11295) Full Text: DOI arXiv
Hochfilzer, Leonhard Variance of sums in short intervals and \(L\)-functions in \(\mathbb{F}_q [t]\). (English) Zbl 1501.11107 J. Number Theory 236, 188-213 (2022). Reviewer: Neranga Fernando (Worcester) MSC: 11T55 11M50 11M38 PDFBibTeX XMLCite \textit{L. Hochfilzer}, J. Number Theory 236, 188--213 (2022; Zbl 1501.11107) Full Text: DOI arXiv
Gorodetsky, Ofir; Rodgers, Brad The variance of the number of sums of two squares in \(\mathbb{F}_q[T]\) in short intervals. (English) Zbl 1503.11140 Am. J. Math. 143, No. 6, 1703-1745 (2021). Reviewer: Maciej Radziejewski (Poznań) MSC: 11R59 11K65 PDFBibTeX XMLCite \textit{O. Gorodetsky} and \textit{B. Rodgers}, Am. J. Math. 143, No. 6, 1703--1745 (2021; Zbl 1503.11140) Full Text: DOI arXiv
de la Bretèche, Régis; Fiorilli, Daniel On a conjecture of Montgomery and Soundararajan. (English) Zbl 1487.11084 Math. Ann. 381, No. 1-2, 575-591 (2021). Reviewer: Marco Aymone (Belo Horizonte) MSC: 11N05 11M06 11N37 11N13 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{D. Fiorilli}, Math. Ann. 381, No. 1--2, 575--591 (2021; Zbl 1487.11084) Full Text: DOI arXiv
Gorodetsky, Ofir; Rodgers, Brad Traces of powers of matrices over finite fields. (English) Zbl 1472.60008 Trans. Am. Math. Soc. 374, No. 7, 4579-4638 (2021). Reviewer: Pavel Stoynov (Sofia) MSC: 60B20 60B15 20G40 11T55 15B52 PDFBibTeX XMLCite \textit{O. Gorodetsky} and \textit{B. Rodgers}, Trans. Am. Math. Soc. 374, No. 7, 4579--4638 (2021; Zbl 1472.60008) Full Text: DOI arXiv
Djanković, Goran; Đokić, Dragan; Lelas, Nikola The triple reciprocity law for the twisted second moments of Dirichlet \(L\)-functions over function fields. (English) Zbl 1490.11089 Proc. Am. Math. Soc. 149, No. 7, 2851-2860 (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11M38 11T06 11T55 PDFBibTeX XMLCite \textit{G. Djanković} et al., Proc. Am. Math. Soc. 149, No. 7, 2851--2860 (2021; Zbl 1490.11089) Full Text: DOI
Djanković, Goran; Đokić, Dragan; Lelas, Nikola; Vrećica, Ilija The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields. (English) Zbl 1464.11095 J. Number Theory 218, 334-369 (2021); corrigendum ibid. 253, 109-113 (2023). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M38 11T06 11M50 14G10 11T55 PDFBibTeX XMLCite \textit{G. Djanković} et al., J. Number Theory 218, 334--369 (2021; Zbl 1464.11095) Full Text: DOI
Devin, Lucile Limiting properties of the distribution of primes in an arbitrarily large number of residue classes. (English) Zbl 1462.11061 Can. Math. Bull. 63, No. 4, 837-849 (2020); erratum ibid. 64, No. 4, 1041-1044 (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K70 28C15 11M26 PDFBibTeX XMLCite \textit{L. Devin}, Can. Math. Bull. 63, No. 4, 837--849 (2020; Zbl 1462.11061) Full Text: DOI arXiv
Perret-Gentil, Corentin Roots of \(L\)-functions of characters over function fields, generic linear independence and biases. (English) Zbl 1459.11228 Algebra Number Theory 14, No. 5, 1291-1329 (2020). MSC: 11T23 11J72 11N36 11R58 PDFBibTeX XMLCite \textit{C. Perret-Gentil}, Algebra Number Theory 14, No. 5, 1291--1329 (2020; Zbl 1459.11228) Full Text: DOI arXiv
Đokić, Dragan; Lelas, Nikola; Vrećica, Ilija Large values of Dirichlet \(L\)-functions over function fields. (English) Zbl 1467.11108 Int. J. Number Theory 16, No. 5, 1081-1109 (2020). Reviewer: Stelian Mihalas (Timişoara) MSC: 11R59 11M06 11R58 14H05 PDFBibTeX XMLCite \textit{D. Đokić} et al., Int. J. Number Theory 16, No. 5, 1081--1109 (2020; Zbl 1467.11108) Full Text: DOI
Bary-Soroker, Lior; Gorodetsky, Ofir; Karidi, Taelin; Sawin, Will Chebotarev density theorem in short intervals for extensions of \(\mathbb{F}_q(T)\). (English) Zbl 1460.11145 Trans. Am. Math. Soc. 373, No. 1, 597-628 (2020). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11T55 11N05 11S20 PDFBibTeX XMLCite \textit{L. Bary-Soroker} et al., Trans. Am. Math. Soc. 373, No. 1, 597--628 (2020; Zbl 1460.11145) Full Text: DOI arXiv
Bary-Soroker, Lior; Fehm, Arno Correlations of sums of two squares and other arithmetic functions in function fields. (English) Zbl 1468.11198 Int. Math. Res. Not. 2019, No. 14, 4469-4515 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N25 11R58 PDFBibTeX XMLCite \textit{L. Bary-Soroker} and \textit{A. Fehm}, Int. Math. Res. Not. 2019, No. 14, 4469--4515 (2019; Zbl 1468.11198) Full Text: DOI arXiv
Bary-Soroker, Lior; Stix, Jakob Cubic twin prime polynomials are counted by a modular form. (English) Zbl 1460.11146 Can. J. Math. 71, No. 6, 1323-1350 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11T55 11G25 11N05 PDFBibTeX XMLCite \textit{L. Bary-Soroker} and \textit{J. Stix}, Can. J. Math. 71, No. 6, 1323--1350 (2019; Zbl 1460.11146) Full Text: DOI arXiv
Rudnick, Zeév; Waxman, Ezra Angles of Gaussian primes. (English) Zbl 1467.11107 Isr. J. Math. 232, No. 1, 159-199 (2019). Reviewer: Shabnam Akhtari (Eugene) MSC: 11R45 11M50 11R42 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{E. Waxman}, Isr. J. Math. 232, No. 1, 159--199 (2019; Zbl 1467.11107) Full Text: DOI arXiv
Bank, Efrat; Foster, Tyler Primes in short intervals on curves over finite fields. (English) Zbl 1429.11177 Math. Ann. 374, No. 1-2, 447-474 (2019). Reviewer: Gabriel D. Villa Salvador (México D. F.) MSC: 11N05 11G20 11R58 PDFBibTeX XMLCite \textit{E. Bank} and \textit{T. Foster}, Math. Ann. 374, No. 1--2, 447--474 (2019; Zbl 1429.11177) Full Text: DOI arXiv Link
Gorodetsky, Ofir Irreducible polynomials over \(\mathbb{F}_{2^r}\) with three prescribed coefficients. (English) Zbl 1411.11132 Finite Fields Appl. 56, 150-187 (2019). MSC: 11T55 11T23 11N05 14H45 PDFBibTeX XMLCite \textit{O. Gorodetsky}, Finite Fields Appl. 56, 150--187 (2019; Zbl 1411.11132) Full Text: DOI arXiv
Hall, Chris; Keating, Jonathan P.; Roditty-Gershon, Edva Variance of arithmetic sums and \(L\)-functions in \(\mathbb F_q[t]\). (English) Zbl 1464.11134 Algebra Number Theory 13, No. 1, 19-92 (2019). MSC: 11T55 11M38 11M50 PDFBibTeX XMLCite \textit{C. Hall} et al., Algebra Number Theory 13, No. 1, 19--92 (2019; Zbl 1464.11134) Full Text: DOI
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
Rodgers, Brad Arithmetic functions in short intervals and the symmetric group. (English) Zbl 1406.11094 Algebra Number Theory 12, No. 5, 1243-1279 (2018). Reviewer: Mehdi Hassani (Zanjan) MSC: 11M50 11N37 11T55 PDFBibTeX XMLCite \textit{B. Rodgers}, Algebra Number Theory 12, No. 5, 1243--1279 (2018; Zbl 1406.11094) Full Text: DOI arXiv
Oppenheim, Amotz; Shusterman, Mark Squarefree polynomials with prescribed coefficients. (English) Zbl 1416.11165 J. Number Theory 187, 189-197 (2018). Reviewer: Neranga Fernando (Boston) MSC: 11T06 PDFBibTeX XMLCite \textit{A. Oppenheim} and \textit{M. Shusterman}, J. Number Theory 187, 189--197 (2018; Zbl 1416.11165) Full Text: DOI arXiv
Keating, J. P.; Rodgers, B.; Roditty-Gershon, E.; Rudnick, Z. Sums of divisor functions in \(\mathbb {F}_q[t]\) and matrix integrals. (English) Zbl 1430.11137 Math. Z. 288, No. 1-2, 167-198 (2018). MSC: 11N60 05A15 11N56 PDFBibTeX XMLCite \textit{J. P. Keating} et al., Math. Z. 288, No. 1--2, 167--198 (2018; Zbl 1430.11137) Full Text: DOI arXiv
Roditty-Gershon, E. Square-full polynomials in short intervals and in arithmetic progressions. (English) Zbl 1370.11134 Res. Number Theory 3, Paper No. 3, 18 p. (2017). Reviewer: Neranga Fernando (Boston) MSC: 11T06 11B25 PDFBibTeX XMLCite \textit{E. Roditty-Gershon}, Res. Number Theory 3, Paper No. 3, 18 p. (2017; Zbl 1370.11134) Full Text: DOI arXiv
Shparlinski, Igor E.; Weingartner, Andreas J. An explicit polynomial analogue of Romanoff’s theorem. (English) Zbl 1421.11096 Finite Fields Appl. 44, 22-33 (2017). MSC: 11T06 11T55 PDFBibTeX XMLCite \textit{I. E. Shparlinski} and \textit{A. J. Weingartner}, Finite Fields Appl. 44, 22--33 (2017; Zbl 1421.11096) Full Text: DOI arXiv
Lester, Stephen; Yesha, Nadav On the distribution of the divisor function and Hecke eigenvalues. (English) Zbl 1342.11080 Isr. J. Math. 212, No. 1, 443-472 (2016). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11B25 11F37 PDFBibTeX XMLCite \textit{S. Lester} and \textit{N. Yesha}, Isr. J. Math. 212, No. 1, 443--472 (2016; Zbl 1342.11080) Full Text: DOI arXiv
Bae, Sunghan; Cha, Byungchul; Jung, Hwanyup Möbius function in short intervals for function fields. (English) Zbl 1393.11084 Finite Fields Appl. 34, 235-249 (2015). MSC: 11T55 11T23 11N37 PDFBibTeX XMLCite \textit{S. Bae} et al., Finite Fields Appl. 34, 235--249 (2015; Zbl 1393.11084) Full Text: DOI
Bank, Efrat; Bary-Soroker, Lior; Rosenzweig, Lior Prime polynomials in short intervals and in arithmetic progressions. (English) Zbl 1395.11132 Duke Math. J. 164, No. 2, 277-295 (2015). MSC: 11R58 11T06 11B25 PDFBibTeX XMLCite \textit{E. Bank} et al., Duke Math. J. 164, No. 2, 277--295 (2015; Zbl 1395.11132) Full Text: DOI arXiv Euclid
Bank, Efrat; Bary-Soroker, Lior Prime polynomial values of linear functions in short intervals. (English) Zbl 1318.11150 J. Number Theory 151, 263-275 (2015). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11R58 11P32 11P55 PDFBibTeX XMLCite \textit{E. Bank} and \textit{L. Bary-Soroker}, J. Number Theory 151, 263--275 (2015; Zbl 1318.11150) Full Text: DOI arXiv