Fan, Aihua; Schmeling, Jörg; Shen, Weixiao \(L^\infty\)-estimation of generalized Thue-Morse trigonometric polynomials and ergodic maximization. (English) Zbl 07314166 Discrete Contin. Dyn. Syst. 41, No. 1, 297-327 (2021). MSC: 11L07 37A05 37B10 PDF BibTeX XML Cite \textit{A. Fan} et al., Discrete Contin. Dyn. Syst. 41, No. 1, 297--327 (2021; Zbl 07314166) Full Text: DOI
Steinerberger, Stefan Wasserstein distance, Fourier series and applications. (English) Zbl 07308735 Monatsh. Math. 194, No. 2, 305-338 (2021). MSC: 60B10 42A05 42A16 11L03 35B05 49Q20 11K38 60E05 PDF BibTeX XML Cite \textit{S. Steinerberger}, Monatsh. Math. 194, No. 2, 305--338 (2021; Zbl 07308735) Full Text: DOI
Mérai, László; Shparlinski, Igor E. On the dynamical system generated by the Möbius transformation at prime times. (English) Zbl 07307671 Res. Math. Sci. 8, No. 1, Paper No. 10, 13 p. (2021). MSC: 11L07 11N60 11T23 37P05 PDF BibTeX XML Cite \textit{L. Mérai} and \textit{I. E. Shparlinski}, Res. Math. Sci. 8, No. 1, Paper No. 10, 13 p. (2021; Zbl 07307671) Full Text: DOI
Jiang, Yujiao; Lü, Guangshi; Wang, Zhiwei Exponential sums with multiplicative coefficients without the Ramanujan conjecture. (English) Zbl 07307520 Math. Ann. 379, No. 1-2, 589-632 (2021). MSC: 11L07 11F30 11N36 PDF BibTeX XML Cite \textit{Y. Jiang} et al., Math. Ann. 379, No. 1--2, 589--632 (2021; Zbl 07307520) Full Text: DOI
Chern, Shane Correction to: “Note on sums involving the Euler function”. (English) Zbl 07302549 Bull. Aust. Math. Soc. 103, No. 1, 174-175 (2021). MSC: 11A25 11L07 PDF BibTeX XML Cite \textit{S. Chern}, Bull. Aust. Math. Soc. 103, No. 1, 174--175 (2021; Zbl 07302549) Full Text: DOI
Ye, Dongxi A remark on the average number of divisors of a quadratic polynomial. (English) Zbl 07302507 Arch. Math. 116, No. 1, 49-59 (2021). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11L07 PDF BibTeX XML Cite \textit{D. Ye}, Arch. Math. 116, No. 1, 49--59 (2021; Zbl 07302507) Full Text: DOI
Polymerakis, Panagiotis Positive harmonic functions on groups and covering spaces. (English) Zbl 07300462 Adv. Math. 379, Article ID 107552, 9 p. (2021). MSC: 53C43 58J65 60G50 PDF BibTeX XML Cite \textit{P. Polymerakis}, Adv. Math. 379, Article ID 107552, 9 p. (2021; Zbl 07300462) Full Text: DOI
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
Cohen, Stephen D.; Sharma, Hariom; Sharma, Rajendra Primitive values of rational functions at primitive elements of a finite field. (English) Zbl 07276959 J. Number Theory 219, 237-246 (2021). MSC: 12E20 11T23 PDF BibTeX XML Cite \textit{S. D. Cohen} et al., J. Number Theory 219, 237--246 (2021; Zbl 07276959) 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
Qi, Feng; Guo, Bai-Ni From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions. (English) Zbl 1451.33002 J. Math. Anal. Appl. 493, No. 1, Article ID 124478, 19 p. (2021). Reviewer: István Mező (Nanjing) MSC: 33B15 26D15 PDF BibTeX XML Cite \textit{F. Qi} and \textit{B.-N. Guo}, J. Math. Anal. Appl. 493, No. 1, Article ID 124478, 19 p. (2021; Zbl 1451.33002) 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). Reviewer: Mehdi Hassani (Zanjan) 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
Shparlinski, Igor E. Geometric progressions in vector sumsets over finite fields. (English) Zbl 07312729 Finite Fields Appl. 68, Article ID 101747, 10 p. (2020). MSC: 11B30 11T23 11T30 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Finite Fields Appl. 68, Article ID 101747, 10 p. (2020; Zbl 07312729) Full Text: DOI
Chen, Chao Hasse polynomials of L-functions of certain exponential sums. (English) Zbl 07312718 Finite Fields Appl. 68, Article ID 101736, 19 p. (2020). MSC: 11S40 11T23 11L07 PDF BibTeX XML Cite \textit{C. Chen}, Finite Fields Appl. 68, Article ID 101736, 19 p. (2020; Zbl 07312718) Full Text: DOI
Chen, Yuan; Zeng, Xiangyong; Zhang, Li; Xiao, Benchang Linear codes from vectorial Boolean power functions. (English) Zbl 07312707 Finite Fields Appl. 67, Article ID 101726, 18 p. (2020). MSC: 11T71 94B05 11L03 PDF BibTeX XML Cite \textit{Y. Chen} et al., Finite Fields Appl. 67, Article ID 101726, 18 p. (2020; Zbl 07312707) Full Text: DOI
Chubarikov, Vladimir Nikolaevich On a mean-value theorem for multiple trigonometric sums. (Russian. English summary) Zbl 07310048 Chebyshevskiĭ Sb. 21, No. 1(73), 320-335 (2020). MSC: 11L07 11N37 PDF BibTeX XML Cite \textit{V. N. Chubarikov}, Chebyshevskiĭ Sb. 21, No. 1(73), 320--335 (2020; Zbl 07310048) Full Text: DOI MNR
De Koninck, Jean-Marie; Kátai, Imre Exponential sums running over particular sets of positive integers. (English) Zbl 07307800 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 51-57 (2020). MSC: 11L07 11N37 PDF BibTeX XML Cite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 51--57 (2020; Zbl 07307800) Full Text: Link
Ren, Rufei Generic Newton polygon for exponential sums in \(n\) variables with parallelotope base. (English) Zbl 07304766 Am. J. Math. 142, No. 5, 1595-1639 (2020). MSC: 11T23 14G10 11M38 PDF BibTeX XML Cite \textit{R. Ren}, Am. J. Math. 142, No. 5, 1595--1639 (2020; Zbl 07304766) Full Text: DOI
Pintz, J.; Ruzsa, Z. I. On Linnik’s approximation to Goldbach’s problem. II. (English) Zbl 07301139 Acta Math. Hung. 161, No. 2, 569-582 (2020). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 11P32 11L07 PDF BibTeX XML Cite \textit{J. Pintz} and \textit{Z. I. Ruzsa}, Acta Math. Hung. 161, No. 2, 569--582 (2020; Zbl 07301139) Full Text: DOI
Fouvry, Étienne; Ganguly, Satadal Sums of products of Kloosterman sums modulo \(p^2\). (English) Zbl 07301082 Acta Arith. 196, No. 2, 203-217 (2020). MSC: 11L05 11L07 PDF BibTeX XML Cite \textit{É. Fouvry} and \textit{S. Ganguly}, Acta Arith. 196, No. 2, 203--217 (2020; Zbl 07301082) Full Text: DOI
Baier, Stephan; Technau, Marc On the distribution of \(\alpha p\) modulo one in imaginary quadratic number fields with class number one. (English. French summary) Zbl 07299133 J. Théor. Nombres Bordx. 32, No. 3, 719-760 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J17 11L07 11L20 11K60 PDF BibTeX XML Cite \textit{S. Baier} and \textit{M. Technau}, J. Théor. Nombres Bordx. 32, No. 3, 719--760 (2020; Zbl 07299133) 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: 11L07 11N25 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
Huang, Jing-Jing The density of rational points near hypersurfaces. (English) Zbl 07292302 Duke Math. J. 169, No. 11, 2045-2077 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J83 11J13 11J25 PDF BibTeX XML Cite \textit{J.-J. Huang}, Duke Math. J. 169, No. 11, 2045--2077 (2020; Zbl 07292302) Full Text: DOI Euclid
Low, C. W.; Sapar, S. H.; Johari, M. A. M. Exponential sums for eighth degree polynomial. (English) Zbl 07290673 Malays. J. Math. Sci. 14, No. 1, 115-138 (2020). MSC: 68 13 PDF BibTeX XML Cite \textit{C. W. Low} et al., Malays. J. Math. Sci. 14, No. 1, 115--138 (2020; Zbl 07290673) Full Text: Link
Yin, Li; Lin, Xiu-Li; Qi, Feng Monotonicity, convexity and inequalities related to complete \((p,q,r)\)-elliptic integrals and generalized trigonometric functions. (English) Zbl 07287379 Publ. Math. 97, No. 1-2, 181-199 (2020). MSC: 33E05 26D15 33B10 PDF BibTeX XML Cite \textit{L. Yin} et al., Publ. Math. 97, No. 1--2, 181--199 (2020; Zbl 07287379) Full Text: DOI
Demeter, Ciprian; Guth, Larry; Wang, Hong Small cap decouplings. With an appendix by D. R. Heath-Brown. (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
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
Wang, Dong-Sheng; Fu, Chunru; Shi, Huannan Schur-\(m\) power convexity of Cauchy means and its application. (English) Zbl 07274842 Rocky Mt. J. Math. 50, No. 5, 1859-1869 (2020). Reviewer: Ioan Raşa (Cluj-Napoca) MSC: 26A51 26D15 26E60 34K38 PDF BibTeX XML Cite \textit{D.-S. Wang} et al., Rocky Mt. J. Math. 50, No. 5, 1859--1869 (2020; Zbl 07274842) Full Text: DOI Euclid
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
Sepulcre, J. M.; Vidal, T. Bochner-type property on spaces of generalized almost periodic functions. (English) Zbl 1451.42013 Mediterr. J. Math. 17, No. 6, Paper No. 193, 15 p. (2020). MSC: 42A75 42A05 42A10 42A16 42B05 PDF BibTeX XML Cite \textit{J. M. Sepulcre} and \textit{T. Vidal}, Mediterr. J. Math. 17, No. 6, Paper No. 193, 15 p. (2020; Zbl 1451.42013) 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
Komarov, M. A. Note on power sums of the zeros of certain Laguerre and Bessel polynomials. (English) Zbl 07271737 Integral Transforms Spec. Funct. 31, No. 7, 562-569 (2020). MSC: 33C45 30C15 30E10 PDF BibTeX XML Cite \textit{M. A. Komarov}, Integral Transforms Spec. Funct. 31, No. 7, 562--569 (2020; Zbl 07271737) 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
Shubin, A. V. Fractional parts of noninteger powers of primes. (English) Zbl 07270836 Math. Notes 108, No. 3, 394-408 (2020). MSC: 11N05 11J71 11N13 PDF BibTeX XML Cite \textit{A. V. Shubin}, Math. Notes 108, No. 3, 394--408 (2020; Zbl 07270836) 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
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 1452.11017 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 1452.11017) 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
Komornik, Vilmos A short, elementary introduction to the exponential function. (English) Zbl 1450.33002 Am. Math. Mon. 127, No. 9, 841-846 (2020). MSC: 33B10 26A09 26D15 PDF BibTeX XML Cite \textit{V. Komornik}, Am. Math. Mon. 127, No. 9, 841--846 (2020; Zbl 1450.33002) 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
Chamizo, Fernando; Pastor, Carlos Lattice points in bodies of revolution II. (English) Zbl 07261542 Math. Nachr. 293, No. 6, 1074-1083 (2020). MSC: 11 52 PDF BibTeX XML Cite \textit{F. Chamizo} and \textit{C. Pastor}, Math. Nachr. 293, No. 6, 1074--1083 (2020; Zbl 07261542) Full Text: DOI
Bordellès, Olivier Arithmetic tales. Advanced edition. 2nd extensively rewritten edition. (English) Zbl 1452.11001 Universitext. Cham: Springer (ISBN 978-3-030-54945-9/pbk; 978-3-030-54946-6/ebook). xix, 782 p. (2020). MSC: 11-01 11Axx 11Nxx 11Rxx 11Lxx 11L07 PDF BibTeX XML Cite \textit{O. Bordellès}, Arithmetic tales. Advanced edition. 2nd extensively rewritten edition. Cham: Springer (2020; Zbl 1452.11001) 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 11R58 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
Li, Chengju; Yue, Qin; Xia, Yongbo; Peng, Wei A class of exponential sums and sequence families. (English) Zbl 07254102 Cryptogr. Commun. 12, No. 3, 569-584 (2020). MSC: 11T23 11T24 94A55 PDF BibTeX XML Cite \textit{C. Li} et al., Cryptogr. Commun. 12, No. 3, 569--584 (2020; Zbl 07254102) Full Text: DOI
Wu, Yansheng; Yue, Qin; Shi, Xueying; Zhu, Xiaomeng Binary and ternary sequences with a few cross correlations. (English) Zbl 07254098 Cryptogr. Commun. 12, No. 3, 511-525 (2020). MSC: 94A55 94A60 PDF BibTeX XML Cite \textit{Y. Wu} et al., Cryptogr. Commun. 12, No. 3, 511--525 (2020; Zbl 07254098) Full Text: DOI
Mesnager, Sihem On generalized hyper-bent functions. (English) Zbl 07254094 Cryptogr. Commun. 12, No. 3, 455-468 (2020). MSC: 11T06 11T23 11T71 PDF BibTeX XML Cite \textit{S. Mesnager}, Cryptogr. Commun. 12, No. 3, 455--468 (2020; Zbl 07254094) 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
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
Mahamat Hassan, Mahamat Hamit; Diop, Mamadou Abdoul; Kasinathan, Ramkumar; Kasinathan, Ravikumar Existence, global attracting sets and exponential decay of solution to stochastic functional integro-differential equations driven by Rosenblatt process. (English) Zbl 07246044 Electron. J. Math. Analysis Appl. 8, No. 2, 38-59 (2020). MSC: 26D15 26A51 26A42 PDF BibTeX XML Cite \textit{M. H. Mahamat Hassan} et al., Electron. J. Math. Analysis Appl. 8, No. 2, 38--59 (2020; Zbl 07246044) Full Text: Link
Maier, Helmut; Rassias, Michael Th. Cotangent sums related to the Riemann hypothesis for various shifts of the argument. (English) Zbl 1448.33002 Can. Math. Bull. 63, No. 3, 522-535 (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33B10 11M06 28A25 41A60 60E10 PDF BibTeX XML Cite \textit{H. Maier} and \textit{M. Th. Rassias}, Can. Math. Bull. 63, No. 3, 522--535 (2020; Zbl 1448.33002) Full Text: DOI
Perret-Gentil, Corentin Roots of \(L\)-functions of characters over function fields, generic linear independence and biases. (English) Zbl 07244795 Algebra Number Theory 14, No. 5, 1291-1329 (2020). MSC: 11J72 11N36 11R58 11T23 PDF BibTeX XML Cite \textit{C. Perret-Gentil}, Algebra Number Theory 14, No. 5, 1291--1329 (2020; Zbl 07244795) Full Text: DOI
Tengely, Szabolcs; Ulas, Maciej; Zygadło, Jakub On a Diophantine equation of Erdős and Graham. (English) Zbl 07242319 J. Number Theory 217, 445-459 (2020). MSC: 11D68 11A63 PDF BibTeX XML Cite \textit{S. Tengely} et al., J. Number Theory 217, 445--459 (2020; Zbl 07242319) Full Text: DOI
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
Sardari, Naser T.; Zargar, Masoud Ramanujan graphs and exponential sums over function fields. (English) Zbl 07242301 J. Number Theory 217, 44-77 (2020). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 11T23 05C35 11R58 PDF BibTeX XML Cite \textit{N. T. Sardari} and \textit{M. Zargar}, J. Number Theory 217, 44--77 (2020; Zbl 07242301) 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
Hajdu, L.; Sebestyén, P. Sums of \(S\)-units in the solution sets of generalized Pell equations. (English) Zbl 07238497 Arch. Math. 115, No. 3, 279-287 (2020). MSC: 11D09 11D61 11B37 PDF BibTeX XML Cite \textit{L. Hajdu} and \textit{P. Sebestyén}, Arch. Math. 115, No. 3, 279--287 (2020; Zbl 07238497) 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
Kolomoitsev, Yurii; Tikhonov, Sergey Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\). (English) Zbl 1450.41004 J. Approx. Theory 257, Article ID 105423, 28 p. (2020). Reviewer: Alexei Lukashov (Saratov) MSC: 41A17 26A15 26A33 26D15 41A25 41A63 46E35 PDF BibTeX XML Cite \textit{Y. Kolomoitsev} and \textit{S. Tikhonov}, J. Approx. Theory 257, Article ID 105423, 28 p. (2020; Zbl 1450.41004) Full Text: DOI
Ji, Caleb; Kazdan, Joshua; McDonald, Vaughan Primes with Beatty and Chebotarev conditions. (English) Zbl 07226993 J. Number Theory 216, 307-334 (2020). MSC: 11R45 11B05 11L07 11N05 PDF BibTeX XML Cite \textit{C. Ji} et al., J. Number Theory 216, 307--334 (2020; Zbl 07226993) 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
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 1451.11090 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 1451.11090); 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
Isaacson, Brad The Tsukano conjectures on exponential sums. (English) Zbl 07224920 Osaka J. Math. 57, No. 3, 543-561 (2020). MSC: 11T23 11T24 PDF BibTeX XML Cite \textit{B. Isaacson}, Osaka J. Math. 57, No. 3, 543--561 (2020; Zbl 07224920) Full Text: Euclid
Kotelina, Nadezhda Olegovna; Pevny, Aleksandr Borisovich Exponential convexity and total positivity. (English) Zbl 1444.26009 Sib. Èlektron. Mat. Izv. 17, 802-806 (2020). Reviewer: Constantin Niculescu (Craiova) MSC: 26A51 26D15 44A10 PDF BibTeX XML Cite \textit{N. O. Kotelina} and \textit{A. B. Pevny}, Sib. Èlektron. Mat. Izv. 17, 802--806 (2020; Zbl 1444.26009) 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
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
Allakov, I.; Safarov, A. Sh. On the exceptional set of the sum of a prime number and a fixed degree of a prime number. (English. Russian original) Zbl 1452.11120 Russ. Math. 64, No. 1, 8-21 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 1, 11-25 (2020). MSC: 11P32 11L07 11L40 PDF BibTeX XML Cite \textit{I. Allakov} and \textit{A. Sh. Safarov}, Russ. Math. 64, No. 1, 8--21 (2020; Zbl 1452.11120); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 1, 11--25 (2020) Full Text: DOI
Vasin, A. R. Piecewise polynomial sequences over the Galois ring. (English. Russian original) Zbl 1452.11094 Probl. Inf. Transm. 56, No. 1, 91-102 (2020); translation from Probl. Peredachi Inf. 56, No. 1, 99-111 (2020). MSC: 11K45 65C10 PDF BibTeX XML Cite \textit{A. R. Vasin}, Probl. Inf. Transm. 56, No. 1, 91--102 (2020; Zbl 1452.11094); translation from Probl. Peredachi Inf. 56, No. 1, 99--111 (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
Pham, Thang; Suk, Andrew On the structure of distance sets over prime fields. (English) Zbl 07211052 Proc. Am. Math. Soc. 148, No. 8, 3209-3215 (2020). Reviewer: Noureddine Daili (Sétif) MSC: 11T23 11T60 11B30 11T24 11H31 PDF BibTeX XML Cite \textit{T. Pham} and \textit{A. Suk}, Proc. Am. Math. Soc. 148, No. 8, 3209--3215 (2020; Zbl 07211052) 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
Harman, Glyn Diophantine approximation with Hardy-Littlewood numbers. (English) Zbl 1446.11135 Mathematika 66, No. 1, 1-14 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11J71 11N36 11P32 PDF BibTeX XML Cite \textit{G. Harman}, Mathematika 66, No. 1, 1--14 (2020; Zbl 1446.11135) Full Text: DOI
Booher, Jeremy; Pries, Rachel Realizing Artin-Schreier covers of curves with minimal Newton polygons in positive characteristic. (English) Zbl 07206993 J. Number Theory 214, 240-250 (2020). MSC: 11G20 11M38 14D15 14H30 14H40 11T23 14D10 14G17 PDF BibTeX XML Cite \textit{J. Booher} and \textit{R. Pries}, J. Number Theory 214, 240--250 (2020; Zbl 07206993) Full Text: DOI
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
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
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
Kim, Dae San Construction of recursive formulas generating power moments of Kloosterman sums: \(O^+(2n,2^r)\) case. (English) Zbl 07197876 J. Korean Math. Soc. 57, No. 3, 585-602 (2020). MSC: 11T23 20G40 94B05 PDF BibTeX XML Cite \textit{D. S. Kim}, J. Korean Math. Soc. 57, No. 3, 585--602 (2020; Zbl 07197876) Full Text: DOI