Shkredov, I. D. Modular hyperbolas and bilinear forms of Kloosterman sums. (English) Zbl 07276981 J. Number Theory 220, 182-211 (2021). MSC: 11T24 11L07 PDF BibTeX XML Cite \textit{I. D. Shkredov}, J. Number Theory 220, 182--211 (2021; Zbl 07276981) Full Text: DOI
Chen, Changhao; Wang, Xiaohua; Wen, Shengyou On uniform distribution of \(\alpha \beta\)-orbits. (English) Zbl 07276966 J. Number Theory 219, 386-403 (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 28A80 11L03 54E52 PDF BibTeX XML Cite \textit{C. Chen} et al., J. Number Theory 219, 386--403 (2021; Zbl 07276966) Full Text: DOI
Bag, Nilanjan; Shparlinski, Igor E. Bounds of some double exponential sums. (English) Zbl 07276958 J. Number Theory 219, 228-236 (2021). MSC: 11D79 11L07 PDF BibTeX XML Cite \textit{N. Bag} and \textit{I. E. Shparlinski}, J. Number Theory 219, 228--236 (2021; Zbl 07276958) Full Text: DOI
Ejsmont, Wiktor; Lehner, Franz The trace method for cotangent sums. (English) Zbl 1444.11160 J. Comb. Theory, Ser. A 177, Article ID 105324, 32 p. (2021). MSC: 11L03 11C20 05A19 PDF BibTeX XML Cite \textit{W. Ejsmont} and \textit{F. Lehner}, J. Comb. Theory, Ser. A 177, Article ID 105324, 32 p. (2021; Zbl 1444.11160) Full Text: DOI
Ernvall-Hytönen, Anne-Maria; Vesalainen, Esa V. On fourth and higher moments of short exponential sums related to cusp forms. (English) Zbl 07257225 J. Number Theory 218, 180-208 (2021). MSC: 11L07 11F11 11F30 PDF BibTeX XML Cite \textit{A.-M. Ernvall-Hytönen} and \textit{E. V. Vesalainen}, J. Number Theory 218, 180--208 (2021; Zbl 07257225) Full Text: DOI
Qi, Lan; Chen, Zhuoyu The hybrid power mean of character sums of polynomials and two-term exponential sums. (Chinese. English summary) Zbl 07294939 Acta Math. Sin., Chin. Ser. 63, No. 4, 397-402 (2020). MSC: 11L03 11L05 11L10 PDF BibTeX XML Cite \textit{L. Qi} and \textit{Z. Chen}, Acta Math. Sin., Chin. Ser. 63, No. 4, 397--402 (2020; Zbl 07294939)
He, Yuan On a trigonometric sum of Hardy and Littlewood. (Chinese. English summary) Zbl 07294929 Acta Math. Sin., Chin. Ser. 63, No. 3, 271-280 (2020). MSC: 11L03 PDF BibTeX XML Cite \textit{Y. He}, Acta Math. Sin., Chin. Ser. 63, No. 3, 271--280 (2020; Zbl 07294929)
Liu, Xinyu; Chen, Zhuoyu On the fourth power mean of one kind of four-term exponential sums. (Chinese. English summary) Zbl 07294928 Acta Math. Sin., Chin. Ser. 63, No. 3, 261-270 (2020). MSC: 11L03 PDF BibTeX XML Cite \textit{X. Liu} and \textit{Z. Chen}, Acta Math. Sin., Chin. Ser. 63, No. 3, 261--270 (2020; Zbl 07294928)
Tangsupphathawat, Pinthira; Srichan, Teerapat; Laohakosol, Vichian Square-full primitive roots in short intervals. (English) Zbl 07293423 Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 542(24), 39-48 (2020). MSC: 11N69 PDF BibTeX XML Cite \textit{P. Tangsupphathawat} et al., Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 542(24), 39--48 (2020; Zbl 07293423) Full Text: DOI
Sakurai, T. An explicit formula for a weight enumerator of linear-congruence codes. (English) Zbl 07293292 Bull. Inst. Comb. Appl. 90, 34-38 (2020). MSC: 94B60 05A15 11L15 PDF BibTeX XML Cite \textit{T. Sakurai}, Bull. Inst. Comb. Appl. 90, 34--38 (2020; Zbl 07293292) Full Text: Link
Jabbarov, I. Sh.; Aslanova, N. Sh.; Jeferli, E. V. On the number of lattice points in the shifted circles. (English) Zbl 07293040 Azerb. J. Math. 10, No. 2, 175-190 (2020). MSC: 11P21 11L03 11Y35 PDF BibTeX XML Cite \textit{I. Sh. Jabbarov} et al., Azerb. J. Math. 10, No. 2, 175--190 (2020; Zbl 07293040) Full Text: Link
Guo, Shaoming; Zorin-Kranich, Pavel Decoupling for certain quadratic surfaces of low co-dimensions. (English) Zbl 07288959 J. Lond. Math. Soc., II. Ser. 102, No. 1, 319-344 (2020). MSC: 42B25 42B37 42B15 42B10 14J70 53A07 11L15 26D05 11E10 PDF BibTeX XML Cite \textit{S. Guo} and \textit{P. Zorin-Kranich}, J. Lond. Math. Soc., II. Ser. 102, No. 1, 319--344 (2020; Zbl 07288959) Full Text: DOI
Demeter, Ciprian; Guth, Larry; Wang, Hong Small cap decouplings. (English) Zbl 07286386 Geom. Funct. Anal. 30, No. 4, 989-1062 (2020). MSC: 42B10 42B37 11L07 PDF BibTeX XML Cite \textit{C. Demeter} et al., Geom. Funct. Anal. 30, No. 4, 989--1062 (2020; Zbl 07286386) Full Text: DOI
Yau, Kam Hung On products of primes and square-free integers in arithmetic progressions. (English) Zbl 07283362 N. Z. J. Math. 50, 93-99 (2020). MSC: 11L05 11A07 PDF BibTeX XML Cite \textit{K. H. Yau}, N. Z. J. Math. 50, 93--99 (2020; Zbl 07283362) Full Text: Link
Balkanova, Olga; Frolenkov, Dmitry Prime geodesic theorem for the Picard manifold. (English) Zbl 07281402 Adv. Math. 375, Article ID 107377, 42 p. (2020). MSC: 11F72 11L05 11M06 PDF BibTeX XML Cite \textit{O. Balkanova} and \textit{D. Frolenkov}, Adv. Math. 375, Article ID 107377, 42 p. (2020; Zbl 07281402) Full Text: DOI
Dunn, Alexander; Kerr, Bryce; Shparlinski, Igor E.; Zaharescu, Alexandru Bilinear forms in Weyl sums for modular square roots and applications. (English) Zbl 07281396 Adv. Math. 375, Article ID 107369, 58 p. (2020). MSC: 11A15 11E25 11K38 11L07 11L20 11N32 PDF BibTeX XML Cite \textit{A. Dunn} et al., Adv. Math. 375, Article ID 107369, 58 p. (2020; Zbl 07281396) Full Text: DOI
Aggarwal, Keshav; Holowinsky, Roman; Lin, Yongxiao; Qi, Zhi A Bessel delta method and exponential sums for GL(2). (English) Zbl 07277655 Q. J. Math. 71, No. 3, 1143-1168 (2020). MSC: 11L40 11F66 PDF BibTeX XML Cite \textit{K. Aggarwal} et al., Q. J. Math. 71, No. 3, 1143--1168 (2020; Zbl 07277655) Full Text: DOI
Tóth, László Menon-type identities concerning additive characters. (English) Zbl 07274812 Arab. J. Math. 9, No. 3, 697-705 (2020). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11A07 11L03 PDF BibTeX XML Cite \textit{L. Tóth}, Arab. J. Math. 9, No. 3, 697--705 (2020; Zbl 07274812) Full Text: DOI
Hughes, Kevin \(\ell^p\)-improving for discrete spherical averages. (Gain d’intégrabilité \(\ell^p\) pour LES moyennes sphériques discrètes.) (English. French summary) Zbl 07272945 Ann. Henri Lebesgue 3, 959-980 (2020). MSC: 42B25 11P05 11P55 11L07 PDF BibTeX XML Cite \textit{K. Hughes}, Ann. Henri Lebesgue 3, 959--980 (2020; Zbl 07272945) Full Text: DOI
Ol’mezov, K. I.; Semchenkov, A. S.; Shkredov, I. D. On popular sums and differences for sets with small multiplicative doubling. (English. Russian original) Zbl 07270856 Math. Notes 108, No. 4, 557-565 (2020); translation from Mat. Zametki 108, No. 4, 561-571 (2020). Reviewer: Štefan Porubský (Praha) MSC: 11B30 11B75 11L07 11B13 11B50 PDF BibTeX XML Cite \textit{K. I. Ol'mezov} et al., Math. Notes 108, No. 4, 557--565 (2020; Zbl 07270856); translation from Mat. Zametki 108, No. 4, 561--571 (2020) Full Text: DOI
Srichan, Teerapat; Tangsupphathawat, Pinthira Square-full numbers in Piatetski-Shapiro sequences. (English. French summary) Zbl 07270812 Ann. Math. Qué. 44, No. 2, 385-391 (2020). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11L07 PDF BibTeX XML Cite \textit{T. Srichan} and \textit{P. Tangsupphathawat}, Ann. Math. Qué. 44, No. 2, 385--391 (2020; Zbl 07270812) Full Text: DOI
Avdeeva, M. O.; Gorbatuk, N. V.; Shul’ga, N. A. On Gauss and Kloosterman sums. (Russian. English summary) Zbl 07268323 Dal’nevost. Mat. Zh. 20, No. 1, 9-14 (2020). MSC: 11L05 11D45 PDF BibTeX XML Cite \textit{M. O. Avdeeva} et al., Dal'nevost. Mat. Zh. 20, No. 1, 9--14 (2020; Zbl 07268323) Full Text: MNR
Varbanets, S.; Vorobyov, Y. Norm of Gaussian integers in arithmetical progressions and narrow sectors. (English) Zbl 1445.11085 Algebra Discrete Math. 29, No. 2, 259-270 (2020). MSC: 11L07 11T23 11R42 PDF BibTeX XML Cite \textit{S. Varbanets} and \textit{Y. Vorobyov}, Algebra Discrete Math. 29, No. 2, 259--270 (2020; Zbl 1445.11085) Full Text: Link
Macourt, Simon; Petridis, Giorgis; Shkredov, Ilya D.; Shparlinski, Igor E. Bounds of trilinear and trinomial exponential sums. (English) Zbl 07267533 SIAM J. Discrete Math. 34, No. 4, 2124-2136 (2020). MSC: 11B30 11L07 11T23 PDF BibTeX XML Cite \textit{S. Macourt} et al., SIAM J. Discrete Math. 34, No. 4, 2124--2136 (2020; Zbl 07267533) Full Text: DOI
Liu, Huake; Wang, Tianqin Exponential sums over primes in arithmetic progressions. (English) Zbl 07267502 Pure Appl. Math. 36, No. 1, 31-42 (2020). MSC: 11L07 11L20 PDF BibTeX XML Cite \textit{H. Liu} and \textit{T. Wang}, Pure Appl. Math. 36, No. 1, 31--42 (2020; Zbl 07267502) Full Text: DOI
Tian, Qing On the mean value of \(\frac{L'}{L} (1, \chi)\) with the weight of character sums in a short interval. (English) Zbl 07266384 Adv. Math., Beijing 49, No. 2, 172-178 (2020). MSC: 11L40 11M20 PDF BibTeX XML Cite \textit{Q. Tian}, Adv. Math., Beijing 49, No. 2, 172--178 (2020; Zbl 07266384) Full Text: DOI
Bibak, Khodakhast Deletion correcting codes meet the Littlewood-Offord problem. (English) Zbl 07263379 Des. Codes Cryptography 88, No. 11, 2387-2396 (2020). MSC: 68P30 11D79 11P83 11L03 PDF BibTeX XML Cite \textit{K. Bibak}, Des. Codes Cryptography 88, No. 11, 2387--2396 (2020; Zbl 07263379) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre Further generalisations of a classical theorem of Daboussi. (English) Zbl 07262543 Colloq. Math. 162, No. 1, 109-119 (2020). MSC: 11L07 11N37 PDF BibTeX XML Cite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Colloq. Math. 162, No. 1, 109--119 (2020; Zbl 07262543) Full Text: DOI
Baier, Stephan; Kumar Singh, Rajneesh The large sieve inequality with square moduli for quadratic extensions of function fields. (English) Zbl 07257254 Int. J. Number Theory 16, No. 9, 1907-1922 (2020). MSC: 11L03 11L07 11L40 11N35 PDF BibTeX XML Cite \textit{S. Baier} and \textit{R. Kumar Singh}, Int. J. Number Theory 16, No. 9, 1907--1922 (2020; Zbl 07257254) Full Text: DOI
Fraser, Robert; Wright, James The local sum conjecture in two dimensions. (English) Zbl 07257245 Int. J. Number Theory 16, No. 8, 1667-1699 (2020). MSC: 11L07 11S40 11A07 43A70 PDF BibTeX XML Cite \textit{R. Fraser} and \textit{J. Wright}, Int. J. Number Theory 16, No. 8, 1667--1699 (2020; Zbl 07257245) Full Text: DOI
Bordignon, Matteo; Kerr, Bryce An explicit Pólya-Vinogradov inequality via partial Gaussian sums. (English) Zbl 07255585 Trans. Am. Math. Soc. 373, No. 9, 6503-6527 (2020). MSC: 11L40 11L05 11H06 11H60 PDF BibTeX XML Cite \textit{M. Bordignon} and \textit{B. Kerr}, Trans. Am. Math. Soc. 373, No. 9, 6503--6527 (2020; Zbl 07255585) Full Text: DOI
Cao, Xiwang; Luo, Gaojun; Xu, Guangkui Three deterministic constructions of compressed sensing matrices with low coherence. (English) Zbl 07254100 Cryptogr. Commun. 12, No. 3, 547-558 (2020). MSC: 94A12 11L40 12E20 PDF BibTeX XML Cite \textit{X. Cao} et al., Cryptogr. Commun. 12, No. 3, 547--558 (2020; Zbl 07254100) Full Text: DOI
Proskurin, N. V. On some trigonometric sums related to the Airy function. (English. Russian original) Zbl 07253787 J. Math. Sci., New York 249, No. 1, 89-94 (2020); translation from Zap. Nauchn. Semin. POMI 479, 137-145 (2019). MSC: 11L03 33C10 33E50 PDF BibTeX XML Cite \textit{N. V. Proskurin}, J. Math. Sci., New York 249, No. 1, 89--94 (2020; Zbl 07253787); translation from Zap. Nauchn. Semin. POMI 479, 137--145 (2019) Full Text: DOI
Bakos, Bence; Hegyvári, Norbert; Pálfy, Máté; Yan, Xiao-Hui On subset sums of pseudo-recursive sequences. (English) Zbl 07250394 DML, Discrete Math. Lett. 4, 31-36 (2020). MSC: 11B30 11B75 11L03 PDF BibTeX XML Cite \textit{B. Bakos} et al., DML, Discrete Math. Lett. 4, 31--36 (2020; Zbl 07250394) Full Text: Link
Pierce, Lillian B.; Xu, Junyan Burgess bounds for short character sums evaluated at forms. (English) Zbl 07248676 Algebra Number Theory 14, No. 7, 1911-1951 (2020). MSC: 11L40 PDF BibTeX XML Cite \textit{L. B. Pierce} and \textit{J. Xu}, Algebra Number Theory 14, No. 7, 1911--1951 (2020; Zbl 07248676) Full Text: DOI
Andersen, Nickolas; Duke, William D. Modular invariants for real quadratic fields and Kloosterman sums. (English) Zbl 07248666 Algebra Number Theory 14, No. 6, 1537-1575 (2020). MSC: 11F37 11L05 PDF BibTeX XML Cite \textit{N. Andersen} and \textit{W. D. Duke}, Algebra Number Theory 14, No. 6, 1537--1575 (2020; Zbl 07248666) Full Text: DOI
Zhao, Wenjia Hua’s theorem on five squares of primes. (English) Zbl 07247155 Front. Math. China 15, No. 4, 835-850 (2020). MSC: 11L07 11L20 11N13 11P05 11P32 PDF BibTeX XML Cite \textit{W. Zhao}, Front. Math. China 15, No. 4, 835--850 (2020; Zbl 07247155) Full Text: DOI
Bettin, Sandro; Drappeau, Sary Partial sums of the cotangent function. (English. French summary) Zbl 07246700 J. Théor. Nombres Bordx. 32, No. 1, 217-230 (2020). MSC: 11L03 11A55 11M35 PDF BibTeX XML Cite \textit{S. Bettin} and \textit{S. Drappeau}, J. Théor. Nombres Bordx. 32, No. 1, 217--230 (2020; Zbl 07246700) Full Text: DOI
Kerr, Bryce; Shparlinski, Igor E.; Yau, Kam Hung A refinement of the burgess bound for character sums. (English) Zbl 07244370 Mich. Math. J. 69, No. 2, 227-240 (2020). MSC: 11L40 11N25 PDF BibTeX XML Cite \textit{B. Kerr} et al., Mich. Math. J. 69, No. 2, 227--240 (2020; Zbl 07244370) Full Text: DOI Euclid
Hegyvári, Norbert; Pach, Péter Pál Hilbert cubes meet arithmetic sets. (English) Zbl 07242311 J. Number Theory 217, 292-300 (2020). MSC: 11B30 11L03 11B75 PDF BibTeX XML Cite \textit{N. Hegyvári} and \textit{P. P. Pach}, J. Number Theory 217, 292--300 (2020; Zbl 07242311) Full Text: DOI
Elma, Ertan On a problem related to discrete mean values of Dirichlet \(L\)-functions. (English) Zbl 07242300 J. Number Theory 217, 36-43 (2020). MSC: 11M06 11L40 PDF BibTeX XML Cite \textit{E. Elma}, J. Number Theory 217, 36--43 (2020; Zbl 07242300) Full Text: DOI
Korolev, M. A.; Changa, M. E. New estimate for Kloosterman sums with primes. (English. Russian original) Zbl 07241883 Math. Notes 108, No. 1, 87-93 (2020); translation from Mat. Zametki 108, No. 1, 94-101 (2020). MSC: 11L PDF BibTeX XML Cite \textit{M. A. Korolev} and \textit{M. E. Changa}, Math. Notes 108, No. 1, 87--93 (2020; Zbl 07241883); translation from Mat. Zametki 108, No. 1, 94--101 (2020) Full Text: DOI
Chae, Hi-Joon; Jun, Byungheup; Lee, Jungyun Equidistribution of higher dimensional generalized Dedekind sums and exponential sums. (English) Zbl 07240927 J. Korean Math. Soc. 57, No. 4, 845-871 (2020). MSC: 11F20 11L03 14M25 PDF BibTeX XML Cite \textit{H.-J. Chae} et al., J. Korean Math. Soc. 57, No. 4, 845--871 (2020; Zbl 07240927) Full Text: DOI
Lv, Xingxing; Li, Xiaoxue On the hybrid power mean involving the two-term exponential sums and polynomial character sums. (English) Zbl 07238363 Chin. Ann. Math., Ser. B 41, No. 4, 547-558 (2020). MSC: 11L03 11L05 PDF BibTeX XML Cite \textit{X. Lv} and \textit{X. Li}, Chin. Ann. Math., Ser. B 41, No. 4, 547--558 (2020; Zbl 07238363) Full Text: DOI
Bourgain, Jean; Demeter, Ciprian Three applications of the Siegel mass formula. (English) Zbl 07238057 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume 1. Cham: Springer (ISBN 978-3-030-36019-1/pbk; 978-3-030-36020-7/ebook). Lecture Notes in Mathematics 2256, 99-111 (2020). MSC: 11L03 PDF BibTeX XML Cite \textit{J. Bourgain} and \textit{C. Demeter}, Lect. Notes Math. 2256, 99--111 (2020; Zbl 07238057) Full Text: DOI
Wright, James On a conjecture of Igusa in two dimensions. (English) Zbl 07229236 Am. J. Math. 142, No. 4, 1193-1238 (2020). MSC: 11L07 11S80 11T23 PDF BibTeX XML Cite \textit{J. Wright}, Am. J. Math. 142, No. 4, 1193--1238 (2020; Zbl 07229236) Full Text: DOI
Boca, Florin P.; Radziwiłł, Maksym Limiting distribution of eigenvalues in the large sieve matrix. (English) Zbl 07227735 J. Eur. Math. Soc. (JEMS) 22, No. 7, 2287-2329 (2020). MSC: 11L07 11B57 11N35 PDF BibTeX XML Cite \textit{F. P. Boca} and \textit{M. Radziwiłł}, J. Eur. Math. Soc. (JEMS) 22, No. 7, 2287--2329 (2020; Zbl 07227735) Full Text: DOI
Di Benedetto, Daniel; Garaev, Moubariz Z.; Garcia, Victor C.; Gonzalez-Sanchez, Diego; Shparlinski, Igor E.; Trujillo, Carlos A. New estimates for exponential sums over multiplicative subgroups and intervals in prime fields. (English) Zbl 07226726 J. Number Theory 215, 261-274 (2020). MSC: 11L07 11T23 PDF BibTeX XML Cite \textit{D. Di Benedetto} et al., J. Number Theory 215, 261--274 (2020; Zbl 07226726) Full Text: DOI
Munsch, Marc; Shparlinski, Igor E. On smooth square-free numbers in arithmetic progressions. (English) Zbl 07226674 J. Lond. Math. Soc., II. Ser. 101, No. 3, 1041-1067 (2020). MSC: 11N25 11B25 11L40 PDF BibTeX XML Cite \textit{M. Munsch} and \textit{I. E. Shparlinski}, J. Lond. Math. Soc., II. Ser. 101, No. 3, 1041--1067 (2020; Zbl 07226674) Full Text: DOI
Drmota, Michael; Mauduit, Christian; Rivat, Joël Prime numbers in two bases. (English) Zbl 07226651 Duke Math. J. 169, No. 10, 1809-1876 (2020). MSC: 11A63 11K16 11N60 11L20 11N05 11L03 PDF BibTeX XML Cite \textit{M. Drmota} et al., Duke Math. J. 169, No. 10, 1809--1876 (2020; Zbl 07226651) Full Text: DOI Euclid
Eminyan, Karapet M. Waring’s problem in natural numbers of special form. (English. Russian original) Zbl 07226383 Sb. Math. 211, No. 5, 733-749 (2020); translation from Mat. Sb. 211, No. 5, 126-142 (2020). MSC: 11L07 11A63 11P05 PDF BibTeX XML Cite \textit{K. M. Eminyan}, Sb. Math. 211, No. 5, 733--749 (2020; Zbl 07226383); translation from Mat. Sb. 211, No. 5, 126--142 (2020) Full Text: DOI
Jääsaari, Jesse; Vesalainen, Esa V. Corrections to: “On sums involving Fourier coefficients of Maass forms for \(\mathrm{SL}(3,\mathbb{Z})\)”. (English) Zbl 1443.11157 Funct. Approximatio, Comment. Math. 62, No. 1, 59-62 (2020). MSC: 11L07 11F30 11F37 PDF BibTeX XML Cite \textit{J. Jääsaari} and \textit{E. V. Vesalainen}, Funct. Approximatio, Comment. Math. 62, No. 1, 59--62 (2020; Zbl 1443.11157) Full Text: DOI Euclid
Patkowski, Alexander E. On criteria related to the reciprocal of the Riemann zeta function. (English) Zbl 07225496 Funct. Approximatio, Comment. Math. 62, No. 1, 15-20 (2020). MSC: 11L20 11M06 PDF BibTeX XML Cite \textit{A. E. Patkowski}, Funct. Approximatio, Comment. Math. 62, No. 1, 15--20 (2020; Zbl 07225496) Full Text: DOI Euclid
Jiang, Yujiao; Lü, Guangshi The Bombieri-Vinogradov theorem on higher rank groups and its applications. (English) Zbl 07224948 Can. J. Math. 72, No. 4, 928-966 (2020). MSC: 11F30 11L05 11L20 11N37 11N75 PDF BibTeX XML Cite \textit{Y. Jiang} and \textit{G. Lü}, Can. J. Math. 72, No. 4, 928--966 (2020; Zbl 07224948) Full Text: DOI
Grepstad, Sigrid; Kaltenböck, Lisa; Neumüller, Mario On the asymptotic behavior of the sine product \(\Pi^n_{r =1} |2 \sin\pi r \alpha |\). (English) Zbl 07224816 Bilyk, Dmitriy (ed.) et al., Discrepancy theory. Berlin: De Gruyter (ISBN 978-3-11-065115-7/hbk; 978-3-11-065258-1/ebook). Radon Series on Computational and Applied Mathematics 26, 103-115 (2020). MSC: 11 26D05 41A60 11B39 11L15 11K31 PDF BibTeX XML Cite \textit{S. Grepstad} et al., Radon Ser. Comput. Appl. Math. 26, 103--115 (2020; Zbl 07224816) Full Text: DOI
Gao, Peng Mean values of divisors twisted by quadratic characters. (English) Zbl 07221829 Acta Arith. 195, No. 1, 69-82 (2020). MSC: 11N37 11L40 PDF BibTeX XML Cite \textit{P. Gao}, Acta Arith. 195, No. 1, 69--82 (2020; Zbl 07221829) Full Text: DOI
Dimitrov, Stoyan On the number of pairs of positive integers \(x, y \leq H\) such that \(x^2+y^2+1, x^2+y^2+2\) are square-free. (English) Zbl 07221818 Acta Arith. 194, No. 3, 281-294 (2020). MSC: 11L05 11N25 11N37 PDF BibTeX XML Cite \textit{S. Dimitrov}, Acta Arith. 194, No. 3, 281--294 (2020; Zbl 07221818) Full Text: DOI
Halupczok, Karin Bounds for discrete moments of Weyl sums and applications. (English) Zbl 07221804 Acta Arith. 194, No. 1, 1-28 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11J54 PDF BibTeX XML Cite \textit{K. Halupczok}, Acta Arith. 194, No. 1, 1--28 (2020; Zbl 07221804) Full Text: DOI
Konieczny, Jakub Möbius orthogonality for \(q\)-semimultiplicative sequences. (English) Zbl 07220395 Monatsh. Math. 192, No. 4, 853-882 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A63 11L20 PDF BibTeX XML Cite \textit{J. Konieczny}, Monatsh. Math. 192, No. 4, 853--882 (2020; Zbl 07220395) Full Text: DOI
Wu, Liuying; Shi, Sanying On the asymptotic behavior of sums \(\sum\limits_{n\leq x}f(n)\{x/n\}^k\). (English) Zbl 07219269 Int. J. Number Theory 16, No. 6, 1263-1274 (2020). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11L07 11N37 PDF BibTeX XML Cite \textit{L. Wu} and \textit{S. Shi}, Int. J. Number Theory 16, No. 6, 1263--1274 (2020; Zbl 07219269) Full Text: DOI
Lamzouri, Youness On the distribution of the maximum of cubic exponential sums. (English) Zbl 07219257 J. Inst. Math. Jussieu 19, No. 4, 1259-1286 (2020). MSC: 11L03 11T23 14F20 60F10 PDF BibTeX XML Cite \textit{Y. Lamzouri}, J. Inst. Math. Jussieu 19, No. 4, 1259--1286 (2020; Zbl 07219257) Full Text: DOI
Shkredov, I. D. A remark on sets with small Wiener norm. (English) Zbl 1442.11030 Raigorodskii, Andrei M. (ed.) et al., Trigonometric sums and their applications. Cham: Springer. 261-272 (2020). Reviewer: Huaning Liu (Xi’an) MSC: 11B30 11B05 11B75 11L07 PDF BibTeX XML Cite \textit{I. D. Shkredov}, in: Trigonometric sums and their applications. Cham: Springer. 261--272 (2020; Zbl 1442.11030) Full Text: DOI
Maier, Helmut; Rassias, Michael Th.; Raigorodskii, Andrei The maximum of cotangent sums related to the Nyman-Beurling criterion for the Riemann hypothesis. (English) Zbl 1446.11167 Raigorodskii, Andrei M. (ed.) et al., Trigonometric sums and their applications. Cham: Springer. 149-158 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11M41 11L03 PDF BibTeX XML Cite \textit{H. Maier} et al., in: Trigonometric sums and their applications. Cham: Springer. 149--158 (2020; Zbl 1446.11167) Full Text: DOI
Derevyanko, Nikita; Kovalenko, Kirill; Zhukovskii, Maksim On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann hypothesis. (English) Zbl 1444.11176 Raigorodskii, Andrei M. (ed.) et al., Trigonometric sums and their applications. Cham: Springer. 1-28 (2020). MSC: 11M26 11L03 PDF BibTeX XML Cite \textit{N. Derevyanko} et al., in: Trigonometric sums and their applications. Cham: Springer. 1--28 (2020; Zbl 1444.11176) Full Text: DOI
Dzhabbarov, I. Sh. On the multidimensional tarry problem for a cubic polynomial. (English. Russian original) Zbl 07215583 Math. Notes 107, No. 5, 713-726 (2020); translation from Mat. Zametki 107, No. 5, 657-673 (2020). MSC: 11L 11 PDF BibTeX XML Cite \textit{I. Sh. Dzhabbarov}, Math. Notes 107, No. 5, 713--726 (2020; Zbl 07215583); translation from Mat. Zametki 107, No. 5, 657--673 (2020) Full Text: DOI
Chen, Changhao; Shparlinski, Igor E. On large values of Weyl sums. (English) Zbl 1447.11086 Adv. Math. 370, Article ID 107216, 47 p. (2020). Reviewer: Florian Pausinger (Belfast) MSC: 11K38 11L15 28A78 28A80 PDF BibTeX XML Cite \textit{C. Chen} and \textit{I. E. Shparlinski}, Adv. Math. 370, Article ID 107216, 47 p. (2020; Zbl 1447.11086) Full Text: DOI
Wang, Yuchao; Yao, Weili Strong orthogonality between the Möbius function and skew products. (English) Zbl 07212148 Monatsh. Math. 192, No. 3, 745-759 (2020). MSC: 11L03 11N37 37A45 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{W. Yao}, Monatsh. Math. 192, No. 3, 745--759 (2020; Zbl 07212148) Full Text: DOI
Han, Rui; Kovač, Vjekoslav; Lacey, Michael T.; Madrid, José; Yang, Fan Improving estimates for discrete polynomial averages. (English) Zbl 1442.42024 J. Fourier Anal. Appl. 26, No. 3, Paper No. 42, 11 p. (2020). MSC: 42A45 42B15 11L07 44A12 39A12 PDF BibTeX XML Cite \textit{R. Han} et al., J. Fourier Anal. Appl. 26, No. 3, Paper No. 42, 11 p. (2020; Zbl 1442.42024) Full Text: DOI
Rojas-León, Antonio Tensor and convolution direct image of \(\mathcal{l} \)-adic sheaves. (English) Zbl 07209608 Mathematika 66, No. 1, 125-143 (2020). MSC: 11L07 11T24 14F20 11S40 PDF BibTeX XML Cite \textit{A. Rojas-León}, Mathematika 66, No. 1, 125--143 (2020; Zbl 07209608) Full Text: DOI
Munsch, Marc; Shparlinski, Igor E.; Yau, Kam Hung Smooth squarefree and squarefull integers in arithmetic progressions. (English) Zbl 1446.11174 Mathematika 66, No. 1, 56-70 (2020). Reviewer: Krassimir Atanassov (Sofia) MSC: 11N25 11B25 11L05 11L40 PDF BibTeX XML Cite \textit{M. Munsch} et al., Mathematika 66, No. 1, 56--70 (2020; Zbl 1446.11174) Full Text: DOI
Chen, Changhao; Shparlinski, Igor E. Hausdorff dimension of the large values of Weyl sums. (English) Zbl 07206983 J. Number Theory 214, 27-37 (2020). MSC: 11L15 28A78 28A80 PDF BibTeX XML Cite \textit{C. Chen} and \textit{I. E. Shparlinski}, J. Number Theory 214, 27--37 (2020; Zbl 07206983) Full Text: DOI
Griffon, Richard A new family of elliptic curves with unbounded rank. (English) Zbl 07206647 Mosc. Math. J. 20, No. 2, 343-374 (2020). MSC: 11G05 11M38 11G40 14G10 11L05 PDF BibTeX XML Cite \textit{R. Griffon}, Mosc. Math. J. 20, No. 2, 343--374 (2020; Zbl 07206647) Full Text: Link
Forsgård, Jens Tropical approximation of exponential sums and the multivariate Fujiwara bound. (English) Zbl 07206645 Mosc. Math. J. 20, No. 2, 311-321 (2020). MSC: 11L03 PDF BibTeX XML Cite \textit{J. Forsgård}, Mosc. Math. J. 20, No. 2, 311--321 (2020; Zbl 07206645) Full Text: Link
Bordellès, Olivier On the error term of a lattice counting problem. II. (English) Zbl 07205420 Int. J. Number Theory 16, No. 5, 1153-1160 (2020). MSC: 11L07 11L15 11P21 PDF BibTeX XML Cite \textit{O. Bordellès}, Int. J. Number Theory 16, No. 5, 1153--1160 (2020; Zbl 07205420) Full Text: DOI
Đokić, Dragan; Lelas, Nikola; Vrećica, Ilija Large values of Dirichlet \(L\)-functions over function fields. (English) Zbl 07205418 Int. J. Number Theory 16, No. 5, 1081-1109 (2020). MSC: 11M38 11L40 11M06 11R42 11R58 14H05 PDF BibTeX XML Cite \textit{D. Đokić} et al., Int. J. Number Theory 16, No. 5, 1081--1109 (2020; Zbl 07205418) Full Text: DOI
Li, Jiyou On the Borwein conjecture. (English) Zbl 07205416 Int. J. Number Theory 16, No. 5, 1053-1066 (2020). MSC: 11L40 05A17 05A15 PDF BibTeX XML Cite \textit{J. Li}, Int. J. Number Theory 16, No. 5, 1053--1066 (2020; Zbl 07205416) Full Text: DOI
Gras, Georges New criteria for Vandiver’s conjecture using Gauss sums – heuristics and numerical experiments. (English) Zbl 1448.11194 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 32, 38 p. (2020). MSC: 11R18 11L05 11R37 11R29 PDF BibTeX XML Cite \textit{G. Gras}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 32, 38 p. (2020; Zbl 1448.11194) Full Text: DOI
Chu, Wenchang Jordan’s totient function and trigonometric sums. (English) Zbl 07202972 Stud. Sci. Math. Hung. 57, No. 1, 40-53 (2020). MSC: 11L03 33B10 PDF BibTeX XML Cite \textit{W. Chu}, Stud. Sci. Math. Hung. 57, No. 1, 40--53 (2020; Zbl 07202972) Full Text: DOI
Xi, Ping; Yi, Yuan Kloosterman sums and a problem of D. H. Lehmer. (English) Zbl 07202212 Chin. Ann. Math., Ser. B 41, No. 3, 361-370 (2020). MSC: 11N69 11L05 PDF BibTeX XML Cite \textit{P. Xi} and \textit{Y. Yi}, Chin. Ann. Math., Ser. B 41, No. 3, 361--370 (2020; Zbl 07202212) Full Text: DOI
Ricotta, Guillaume; Royer, Emmanuel; Shparlinski, Igor Kloosterman paths of prime powers moduli. II. (English) Zbl 07202209 Bull. Soc. Math. Fr. 148, No. 1, 173-188 (2020). MSC: 11T23 11L05 60F17 60G17 60G50 PDF BibTeX XML Cite \textit{G. Ricotta} et al., Bull. Soc. Math. Fr. 148, No. 1, 173--188 (2020; Zbl 07202209) Full Text: DOI
Baier, S.; Bansal, A.; Singh, R. K. Correction to: “Divisibility problems for function fields”. (English) Zbl 07200112 Acta Math. Hung. 160, No. 2, 519-521 (2020). MSC: 11B75 11N36 11L40 11P99 PDF BibTeX XML Cite \textit{S. Baier} et al., Acta Math. Hung. 160, No. 2, 519--521 (2020; Zbl 07200112) Full Text: DOI
Buchanan, Steven W.; Hetzel, Andrew J. On the success of seriously mishandling Euclid’s lemma. (English) Zbl 1434.11201 Am. Math. Mon. 127, No. 5, 401-410 (2020). MSC: 11N37 11A05 11L20 PDF BibTeX XML Cite \textit{S. W. Buchanan} and \textit{A. J. Hetzel}, Am. Math. Mon. 127, No. 5, 401--410 (2020; Zbl 1434.11201) Full Text: DOI
Jang, Young Ho The Jacobi sums over Galois rings and its absolute values. (English) Zbl 07197875 J. Korean Math. Soc. 57, No. 3, 571-583 (2020). MSC: 11L07 11T23 11T24 PDF BibTeX XML Cite \textit{Y. H. Jang}, J. Korean Math. Soc. 57, No. 3, 571--583 (2020; Zbl 07197875) Full Text: DOI
Radha, S.; Vanchinathan, P. Dimension formula for the space of relative symmetric polynomials of \(D_n\) with respect to any irreducible representation. (English) Zbl 1437.05233 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 16, 18 p. (2020). MSC: 05E05 15A69 11L03 PDF BibTeX XML Cite \textit{S. Radha} and \textit{P. Vanchinathan}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 16, 18 p. (2020; Zbl 1437.05233) Full Text: DOI
Kaneko, Ikuya The second moment for counting prime geodesics. (English) Zbl 07192781 Proc. Japan Acad., Ser. A 96, No. 1, 7-12 (2020). MSC: 11M36 11F72 11L05 11M26 PDF BibTeX XML Cite \textit{I. Kaneko}, Proc. Japan Acad., Ser. A 96, No. 1, 7--12 (2020; Zbl 07192781) Full Text: DOI Euclid
Banks, William; Shparlinski, Igor Congruences with intervals and arbitrary sets. (English) Zbl 07191876 Arch. Math. 114, No. 5, 527-539 (2020). MSC: 11A07 11L05 11L40 PDF BibTeX XML Cite \textit{W. Banks} and \textit{I. Shparlinski}, Arch. Math. 114, No. 5, 527--539 (2020; Zbl 07191876) Full Text: DOI
Cvijović, Djurdje Two general families of integer-valued polynomials associated with finite trigonometric sums. (English) Zbl 1437.11118 J. Math. Anal. Appl. 488, No. 1, Article ID 124057, 13 p. (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L03 33B10 11B68 PDF BibTeX XML Cite \textit{D. Cvijović}, J. Math. Anal. Appl. 488, No. 1, Article ID 124057, 13 p. (2020; Zbl 1437.11118) Full Text: DOI
Han, Rui; Krause, Ben; Lacey, Michael T.; Yang, Fan Averages along the primes: improving and sparse bounds. (English) Zbl 1436.42013 Concr. Oper. 7, 45-54 (2020). MSC: 42A45 42B25 11L05 PDF BibTeX XML Cite \textit{R. Han} et al., Concr. Oper. 7, 45--54 (2020; Zbl 1436.42013) Full Text: DOI
Zhai, Wenguang On a sum involving the Euler function. (English) Zbl 1437.11119 J. Number Theory 211, 199-219 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L05 11N37 PDF BibTeX XML Cite \textit{W. Zhai}, J. Number Theory 211, 199--219 (2020; Zbl 1437.11119) Full Text: DOI
Li, Taiyu; Liu, Huafeng Diophantine approximation over Piatetski-Shapiro primes. (English) Zbl 1439.11160 J. Number Theory 211, 184-198 (2020). Reviewer: István Gaál (Debrecen) MSC: 11J25 11L03 11P32 11P55 PDF BibTeX XML Cite \textit{T. Li} and \textit{H. Liu}, J. Number Theory 211, 184--198 (2020; Zbl 1439.11160) Full Text: DOI
Acharya, Ratnadeep Exponential sums of squares of Fourier coefficients of cusp forms. (English) Zbl 1439.11118 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 24, 7 p. (2020). MSC: 11F30 11L03 PDF BibTeX XML Cite \textit{R. Acharya}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 24, 7 p. (2020; Zbl 1439.11118) Full Text: DOI
Kerr, Bryce On the constant in the Pólya-Vinogradov inequality. (English) Zbl 1439.11194 J. Number Theory 212, 265-284 (2020). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11L07 PDF BibTeX XML Cite \textit{B. Kerr}, J. Number Theory 212, 265--284 (2020; Zbl 1439.11194) Full Text: DOI
Kalimeris, K.; Fokas, A. S. Explicit asymptotics for certain single and double exponential sums. (English) Zbl 1437.11120 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 607-632 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11L07 30E15 11M06 PDF BibTeX XML Cite \textit{K. Kalimeris} and \textit{A. S. Fokas}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 607--632 (2020; Zbl 1437.11120) Full Text: DOI
Koh, Doowon; Mirzaei, Mozhgan; Pham, Thang; Shen, Chun-Yen Exponential sum estimates over prime fields. (English) Zbl 07182421 Int. J. Number Theory 16, No. 2, 291-308 (2020). MSC: 11B30 11L07 11T23 PDF BibTeX XML Cite \textit{D. Koh} et al., Int. J. Number Theory 16, No. 2, 291--308 (2020; Zbl 07182421) Full Text: DOI
Guo, Xuejun; Peng, Yuzhen Non-vanishing theta values of characters with special prime conductors. (English) Zbl 1432.11046 J. Math. Anal. Appl. 487, No. 1, Article ID 123971, 10 p. (2020). MSC: 11F27 11L03 PDF BibTeX XML Cite \textit{X. Guo} and \textit{Y. Peng}, J. Math. Anal. Appl. 487, No. 1, Article ID 123971, 10 p. (2020; Zbl 1432.11046) Full Text: DOI
Kowalski, Emmanuel; Lin, Yongxiao; Michel, Philippe; Sawin, Will Periodic twists of \(\operatorname{GL}_3\)-automorphic forms. (English) Zbl 07180571 Forum Math. Sigma 8, Paper No. e15, 39 p. (2020). MSC: 11F55 11M41 11L07 11T23 32N10 PDF BibTeX XML Cite \textit{E. Kowalski} et al., Forum Math. Sigma 8, Paper No. e15, 39 p. (2020; Zbl 07180571) Full Text: DOI
Gao, Peng; Zhao, Liangyi First moment of Hecke \(L\)-functions with quartic characters at the central point. (English) Zbl 1442.11128 Math. Z. 294, No. 3-4, 1841-1854 (2020). Reviewer: Stephan Baier (Haora) MSC: 11M41 11L40 PDF BibTeX XML Cite \textit{P. Gao} and \textit{L. Zhao}, Math. Z. 294, No. 3--4, 1841--1854 (2020; Zbl 1442.11128) Full Text: DOI
Korolev, Maxim; Shparlinski, Igor Sums of algebraic trace functions twisted by arithmetic functions. (English) Zbl 07179068 Pac. J. Math. 304, No. 2, 505-522 (2020). MSC: 11L05 11N25 11T23 PDF BibTeX XML Cite \textit{M. Korolev} and \textit{I. Shparlinski}, Pac. J. Math. 304, No. 2, 505--522 (2020; Zbl 07179068) Full Text: DOI
Akbal, Yıldırım A note on values of Beatty sequences that are free of large prime factors. (English) Zbl 07178817 Colloq. Math. 160, No. 1, 53-63 (2020). MSC: 11N25 11L03 PDF BibTeX XML Cite \textit{Y. Akbal}, Colloq. Math. 160, No. 1, 53--63 (2020; Zbl 07178817) Full Text: DOI
Hegyvári, Norbert; Pálfy, Máté Note on a result of Shparlinski and related results. (English) Zbl 07178803 Acta Arith. 193, No. 2, 157-163 (2020). MSC: 11B30 11L03 11B75 PDF BibTeX XML Cite \textit{N. Hegyvári} and \textit{M. Pálfy}, Acta Arith. 193, No. 2, 157--163 (2020; Zbl 07178803) Full Text: DOI