Mishra, Bhawesh Intersective polynomials arising from sums of powers. (English) Zbl 07358300 Commun. Algebra 49, No. 6, 2633-2644 (2021). MSC: 11D79 11B30 11P05 PDF BibTeX XML Cite \textit{B. Mishra}, Commun. Algebra 49, No. 6, 2633--2644 (2021; Zbl 07358300) Full Text: DOI
Song, Yanbo A note on primes of the form \(\lfloor\alpha p+\beta\rfloor\). (English) Zbl 07355815 J. Number Theory 225, 1-17 (2021). MSC: 11P32 11P05 PDF BibTeX XML Cite \textit{Y. Song}, J. Number Theory 225, 1--17 (2021; Zbl 07355815) Full Text: DOI
Hu, Liqun; Kong, Yafang; Liu, Zhixin A pair of equations in four prime squares and powers of 2. (English) Zbl 07345299 Ramanujan J. 54, No. 1, 79-92 (2021). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{L. Hu} et al., Ramanujan J. 54, No. 1, 79--92 (2021; Zbl 07345299) Full Text: DOI
Zhang, Min; Li, Jinjiang Exceptional set for sums of unlike powers of primes (II). (English) Zbl 07344927 Ramanujan J. 55, No. 1, 131-140 (2021). MSC: 11P05 11P32 11P55 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Li}, Ramanujan J. 55, No. 1, 131--140 (2021; Zbl 07344927) Full Text: DOI
Ching, Tak Wing; Tsang, Kai Man Waring-Goldbach problem involving cubes of primes. (English) Zbl 07333873 Math. Z. 297, No. 3-4, 1105-1117 (2021). MSC: 11P32 11P55 11N36 11P55 11P05 PDF BibTeX XML Cite \textit{T. W. Ching} and \textit{K. M. Tsang}, Math. Z. 297, No. 3--4, 1105--1117 (2021; Zbl 07333873) Full Text: DOI
Podestá, Ricardo A.; Videla, Denis E. The Waring’s problem over finite fields through generalized Paley graphs. (English) Zbl 07327861 Discrete Math. 344, No. 5, Article ID 112324, 13 p. (2021). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11B30 PDF BibTeX XML Cite \textit{R. A. Podestá} and \textit{D. E. Videla}, Discrete Math. 344, No. 5, Article ID 112324, 13 p. (2021; Zbl 07327861) Full Text: DOI
Chan, Wai Kiu; Icaza, María Inés Hermite reduction and a Waring’s problem for integral quadratic forms over number fields. (English) Zbl 07319113 Trans. Am. Math. Soc. 374, No. 4, 2967-2985 (2021). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E12 11E25 11E39 PDF BibTeX XML Cite \textit{W. K. Chan} and \textit{M. I. Icaza}, Trans. Am. Math. Soc. 374, No. 4, 2967--2985 (2021; Zbl 07319113) Full Text: DOI
Vaughan, R. C. On some questions of partitio numerorum: tres cubi. (English) Zbl 07286323 Glasg. Math. J. 63, No. 1, 223-244 (2021). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11P05 11P21 11P32 11N36 PDF BibTeX XML Cite \textit{R. C. Vaughan}, Glasg. Math. J. 63, No. 1, 223--244 (2021; Zbl 07286323) Full Text: DOI
Cantarini, Marco; Gambini, Alessandro; Languasco, Alessandro; Zaccagnini, Alessandro On an average ternary problem with prime powers. (English) Zbl 07343719 Ramanujan J. 53, No. 1, 155-166 (2020). MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{M. Cantarini} et al., Ramanujan J. 53, No. 1, 155--166 (2020; Zbl 07343719) Full Text: DOI
Evert, Eric; Helton, J. William; Huang, Shiyuan; Nie, Jiawang Efficient evaluation of noncommutative polynomials using tensor and noncommutative Waring decompositions. (English) Zbl 07336634 Numer. Funct. Anal. Optim. 42, No. 1, 39-68 (2020). MSC: 14N07 15A69 11P05 11T55 90C25 15A39 PDF BibTeX XML Cite \textit{E. Evert} et al., Numer. Funct. Anal. Optim. 42, No. 1, 39--68 (2020; Zbl 07336634) Full Text: DOI
Zhao, Xiaodong Exceptional set of Waring-Goldbach problem with unequal powers of primes. (English) Zbl 1458.11143 Taiwanese J. Math. 24, No. 4, 817-824 (2020). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{X. Zhao}, Taiwanese J. Math. 24, No. 4, 817--824 (2020; Zbl 1458.11143) Full Text: DOI Euclid
Pliego, Javier On squares of sums of three cubes. (English) Zbl 07304815 Q. J. Math. 71, No. 4, 1219-1235 (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{J. Pliego}, Q. J. Math. 71, No. 4, 1219--1235 (2020; Zbl 07304815) Full Text: DOI
Languasco, Alessandro; Zaccagnini, Alessandro Short intervals asymptotic formulae for binary problems with prime powers. II. (English) Zbl 07286548 J. Aust. Math. Soc. 109, No. 3, 351-370 (2020). MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{A. Languasco} and \textit{A. Zaccagnini}, J. Aust. Math. Soc. 109, No. 3, 351--370 (2020; Zbl 07286548) Full Text: DOI
Ansola, Macarena; Díaz-Cano, Antonio; Ángeles Zurro, María Waring problem for binary real forms. (Spanish) Zbl 1446.11183 Gac. R. Soc. Mat. Esp. 23, No. 1, 147-162 (2020). MSC: 11P05 11E10 PDF BibTeX XML Cite \textit{M. Ansola} et al., Gac. R. Soc. Mat. Esp. 23, No. 1, 147--162 (2020; Zbl 1446.11183)
Hughes, Kevin \(\ell^p\)-improving for discrete spherical averages. (Gain d’intégrabilité \(\ell^p\) pour les moyennes sphériques discrètes.) (English. French summary) Zbl 1459.42026 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 1459.42026) Full Text: DOI
Brešar, Matej Commutators and images of noncommutative polynomials. (English) Zbl 1459.16022 Adv. Math. 374, Article ID 107346, 21 p. (2020). Reviewer: Allan Berele (Chicago) MSC: 16R10 16R60 16S50 46L05 PDF BibTeX XML Cite \textit{M. Brešar}, Adv. Math. 374, Article ID 107346, 21 p. (2020; Zbl 1459.16022) 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
Liu, Yuhui On sums of two prime squares, four prime cubes and powers of two. (English) Zbl 07240608 Bull. Aust. Math. Soc. 102, No. 2, 207-216 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{Y. Liu}, Bull. Aust. Math. Soc. 102, No. 2, 207--216 (2020; Zbl 07240608) Full Text: DOI
Alnaser, Ala; Cochrane, Todd; Ostergaard, Misty; Spencer, Craig Waring numbers for diagonal congruences. (English) Zbl 1453.11124 Rocky Mt. J. Math. 50, No. 3, 825-838 (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11D79 11P55 PDF BibTeX XML Cite \textit{A. Alnaser} et al., Rocky Mt. J. Math. 50, No. 3, 825--838 (2020; Zbl 1453.11124) Full Text: DOI Euclid
Zhao, Xiaodong; Ge, Wenxu Eight cubes of primes and 204 powers of 2. (English) Zbl 07232838 Int. J. Number Theory 16, No. 7, 1547-1555 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{W. Ge}, Int. J. Number Theory 16, No. 7, 1547--1555 (2020; Zbl 07232838) Full Text: DOI
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
Kim, Daejun On a quadratic Waring’s problem with congruence conditions. (English) Zbl 1448.11077 Acta Arith. 194, No. 1, 73-97 (2020). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11E12 11E25 11P05 PDF BibTeX XML Cite \textit{D. Kim}, Acta Arith. 194, No. 1, 73--97 (2020; Zbl 1448.11077) Full Text: DOI
Im, Bo-Hae; Larsen, Michael Waring’s problem for rational functions in one variable. (English) Zbl 1441.30008 Q. J. Math. 71, No. 2, 439-449 (2020). MSC: 30C10 PDF BibTeX XML Cite \textit{B.-H. Im} and \textit{M. Larsen}, Q. J. Math. 71, No. 2, 439--449 (2020; Zbl 1441.30008) Full Text: DOI
Salmensuu, Juho On the Waring-Goldbach problem with almost equal summands. (English) Zbl 07209638 Mathematika 66, No. 2, 255-296 (2020). MSC: 11B30 11P05 11P32 11P55 37A45 PDF BibTeX XML Cite \textit{J. Salmensuu}, Mathematika 66, No. 2, 255--296 (2020; Zbl 07209638) Full Text: DOI
Kulshrestha, Amit; Singh, Anupam Computing \(n\)-th roots in \(\text{SL}_{2}\) and Fibonacci polynomials. (English) Zbl 1443.20076 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 31, 20 p. (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 20G15 11P05 11B39 PDF BibTeX XML Cite \textit{A. Kulshrestha} and \textit{A. Singh}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 31, 20 p. (2020; Zbl 1443.20076) Full Text: DOI
Zhu, Li Waring-Goldbach problem: two squares and three biquadrates. (English) Zbl 07201571 Rocky Mt. J. Math. 50, No. 1, 355-367 (2020). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{L. Zhu}, Rocky Mt. J. Math. 50, No. 1, 355--367 (2020; Zbl 07201571) Full Text: DOI Euclid
Das, Pranabesh; Dey, Pallab Kanti; Rout, Sudhansu Sekhar Sums of fifth powers being a perfect power: a special case. (English) Zbl 1440.11044 J. Ramanujan Math. Soc. 35, No. 1, 23-33 (2020). MSC: 11D85 11D41 11P05 PDF BibTeX XML Cite \textit{P. Das} et al., J. Ramanujan Math. Soc. 35, No. 1, 23--33 (2020; Zbl 1440.11044) Full Text: Link
Gamble, Madison; Hamblen, Spencer; Schildhauer, Blake; Truong, Chung Sums of cubes in quaternion rings. (English) Zbl 1445.11105 J. Integer Seq. 23, No. 4, Article 20.4.4, 9 p. (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11R52 PDF BibTeX XML Cite \textit{M. Gamble} et al., J. Integer Seq. 23, No. 4, Article 20.4.4, 9 p. (2020; Zbl 1445.11105) Full Text: Link
Li, Sanhua; Cai, Yingchun On a Diophantine inequality involving prime numbers. (English) Zbl 1444.11051 Ramanujan J. 52, No. 1, 163-174 (2020). Reviewer: István Gaál (Debrecen) MSC: 11D75 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{S. Li} and \textit{Y. Cai}, Ramanujan J. 52, No. 1, 163--174 (2020; Zbl 1444.11051) Full Text: DOI
Elsholtz, Christian; Schlage-Puchta, Jan-Christoph The density of integers representable as the sum of four prime cubes. (English) Zbl 1445.11109 Acta Arith. 192, No. 4, 363-369 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11P32 11P05 11N36 PDF BibTeX XML Cite \textit{C. Elsholtz} and \textit{J.-C. Schlage-Puchta}, Acta Arith. 192, No. 4, 363--369 (2020; Zbl 1445.11109) Full Text: DOI
Liu, Yuhui Exceptional set in Waring-Goldbach problem: two squares, two cubes and two sixth powers. (English) Zbl 1454.11178 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 8, 17 p. (2020). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{Y. Liu}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 8, 17 p. (2020; Zbl 1454.11178) Full Text: DOI
Zhang, Min; Li, Jinjiang On the sum of divisors of mixed powers in short intervals. (English) Zbl 1452.11118 Ramanujan J. 51, No. 2, 333-352 (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 11E20 11L03 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Li}, Ramanujan J. 51, No. 2, 333--352 (2020; Zbl 1452.11118) Full Text: DOI
Cantarini, Marco; Gambini, Alessandro; Zaccagnini, Alessandro On the average number of representations of an integer as a sum of like prime powers. (English) Zbl 07176138 Proc. Am. Math. Soc. 148, No. 4, 1499-1508 (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{M. Cantarini} et al., Proc. Am. Math. Soc. 148, No. 4, 1499--1508 (2020; Zbl 07176138) Full Text: DOI
Chubarikov, Vladimir Nikolaevich Aleksandr Yakovlevich Khinchin (19.07.1894–18.11.1959). (Russian. English summary) Zbl 1455.01023 Chebyshevskiĭ Sb. 20, No. 4(72), 439-445 (2019). MSC: 01A70 11-03 11Jxx 11P05 PDF BibTeX XML Cite \textit{V. N. Chubarikov}, Chebyshevskiĭ Sb. 20, No. 4(72), 439--445 (2019; Zbl 1455.01023) Full Text: DOI MNR
Liu, Yuhui On a Waring-Goldbach problem involving squares and cubes. (English) Zbl 07289598 Math. Slovaca 69, No. 6, 1249-1262 (2019). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{Y. Liu}, Math. Slovaca 69, No. 6, 1249--1262 (2019; Zbl 07289598) Full Text: DOI
Reznick, Bruce Linearly dependent powers of binary quadratic forms. (English) Zbl 1456.11044 Pac. J. Math. 303, No. 2, 729-755 (2019). MSC: 11E76 11P05 14M99 11D25 11D41 PDF BibTeX XML Cite \textit{B. Reznick}, Pac. J. Math. 303, No. 2, 729--755 (2019; Zbl 1456.11044) Full Text: DOI
Kane, Daniel M.; Sanna, Carlo; Shallit, Jeffrey Waring’s theorem for binary powers. (English) Zbl 07175045 Combinatorica 39, No. 6, 1335-1350 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11P05 11B13 68R15 PDF BibTeX XML Cite \textit{D. M. Kane} et al., Combinatorica 39, No. 6, 1335--1350 (2019; Zbl 07175045) Full Text: DOI
Tongsomporn, Janyarak; Oswald, Nicola; Steuding, Jörn Waring’s problem for Hurwitz quaternion integers. (English) Zbl 07157986 J. Integer Seq. 22, No. 8, Article 19.8.1, 13 p. (2019). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11D85 11R52 PDF BibTeX XML Cite \textit{J. Tongsomporn} et al., J. Integer Seq. 22, No. 8, Article 19.8.1, 13 p. (2019; Zbl 07157986) Full Text: Link
Wang, Mengdi Exceptional sets for sums of almost equal prime cubes. (English) Zbl 07143577 Forum Math. 31, No. 6, 1489-1500 (2019). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{M. Wang}, Forum Math. 31, No. 6, 1489--1500 (2019; Zbl 07143577) Full Text: DOI
Zhang, Rui Slim exceptional set for sums of two squares, two cubes, and two biquadrates of primes. (English) Zbl 1459.11190 Front. Math. China 14, No. 5, 1017-1035 (2019). MSC: 11P05 11P32 11P55 PDF BibTeX XML Cite \textit{R. Zhang}, Front. Math. China 14, No. 5, 1017--1035 (2019; Zbl 1459.11190) Full Text: DOI
Ge, Wenxu; Zhao, Feng; Wang, Tianqin On Diophantine approximation with one prime and three squares of primes. (English) Zbl 1459.11094 Front. Math. China 14, No. 4, 761-779 (2019). MSC: 11D75 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{W. Ge} et al., Front. Math. China 14, No. 4, 761--779 (2019; Zbl 1459.11094) Full Text: DOI
Languasco, A.; Zaccagnini, A. Sums of four prime cubes in short intervals. (English) Zbl 1449.11100 Acta Math. Hung. 159, No. 1, 150-163 (2019). MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{A. Languasco} and \textit{A. Zaccagnini}, Acta Math. Hung. 159, No. 1, 150--163 (2019; Zbl 1449.11100) Full Text: DOI
Hu, Liqun A pair of equations in one prime, two prime squares and powers of 2. (English) Zbl 07118316 Acta Arith. 191, No. 2, 191-200 (2019). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{L. Hu}, Acta Arith. 191, No. 2, 191--200 (2019; Zbl 07118316) Full Text: DOI
Larsen, Michael; Nguyen, Dong Quan Ngoc Waring’s problem for unipotent algebraic groups. (Le problème de Waring pour les groupes algébriques unipotents.) (English. French summary) Zbl 1459.11189 Ann. Inst. Fourier 69, No. 4, 1857-1877 (2019). MSC: 11P05 20G15 14L15 PDF BibTeX XML Cite \textit{M. Larsen} and \textit{D. Q. N. Nguyen}, Ann. Inst. Fourier 69, No. 4, 1857--1877 (2019; Zbl 1459.11189) Full Text: DOI arXiv
Cardona, Duván Pseudo-differential operators on \(\mathbb{Z}^n\) with applications to discrete fractional integral operators. (English) Zbl 1423.42014 Bull. Iran. Math. Soc. 45, No. 4, 1227-1241 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 42B15 35S05 47G30 58J40 11P05 PDF BibTeX XML Cite \textit{D. Cardona}, Bull. Iran. Math. Soc. 45, No. 4, 1227--1241 (2019; Zbl 1423.42014) Full Text: DOI arXiv
Kuo, Wentang; Liu, Yu-Ru; Zhao, Xiaomei The asymptotic estimates and Hasse principle for multidimensional Waring’s problem. (English) Zbl 1442.11137 Adv. Math. 353, 1-66 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11P05 11P55 11T55 PDF BibTeX XML Cite \textit{W. Kuo} et al., Adv. Math. 353, 1--66 (2019; Zbl 1442.11137) Full Text: DOI
Brüdern, Jörg Even ascending powers. (English) Zbl 1443.11203 Pańkowski, Łukasz (ed.) et al., Number theory week 2017. Proceedings of the conference on the occasion of the 60th birthday of Jerzy Kaczorowski, Poznań, Poland, September 4–8, 2017. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 118, 193-229 (2019). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{J. Brüdern}, Banach Cent. Publ. 118, 193--229 (2019; Zbl 1443.11203) Full Text: DOI
Cochrane, Todd; Ostergaard, Misty; Spencer, Craig Cauchy-Davenport theorem for abelian groups and diagonal congruences. (English) Zbl 07081330 Proc. Am. Math. Soc. 147, No. 8, 3339-3345 (2019). MSC: 11B75 11D79 11D72 11P05 PDF BibTeX XML Cite \textit{T. Cochrane} et al., Proc. Am. Math. Soc. 147, No. 8, 3339--3345 (2019; Zbl 07081330) Full Text: DOI
Dinitz, Jeffrey H.; Games, Richard A.; Roth, Robert L. Seeds for generalized taxicab numbers. (English) Zbl 1440.11011 J. Integer Seq. 22, No. 3, Article 19.3.3, 16 p. (2019). MSC: 11B37 11D41 11P05 PDF BibTeX XML Cite \textit{J. H. Dinitz} et al., J. Integer Seq. 22, No. 3, Article 19.3.3, 16 p. (2019; Zbl 1440.11011) Full Text: Link
Wooley, Trevor D. Nested efficient congruencing and relatives of Vinogradov’s mean value theorem. (English) Zbl 1456.11149 Proc. Lond. Math. Soc. (3) 118, No. 4, 942-1016 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11L07 11P55 PDF BibTeX XML Cite \textit{T. D. Wooley}, Proc. Lond. Math. Soc. (3) 118, No. 4, 942--1016 (2019; Zbl 1456.11149) Full Text: DOI arXiv
Covert, David; Karabulut, Yesim Demiroğlu; Pakianathan, Jonathan Cayley digraphs associated to arithmetic groups. (English) Zbl 1407.15038 Graphs Comb. 35, No. 2, 393-417 (2019). MSC: 15B10 15B33 11P05 05C35 PDF BibTeX XML Cite \textit{D. Covert} et al., Graphs Comb. 35, No. 2, 393--417 (2019; Zbl 1407.15038) Full Text: DOI arXiv
Beli, Constantin N.; Chan, Wai Kiu; Icaza, María Inés; Liu, Jingbo On a Waring’s problem for integral quadratic and Hermitian forms. (English) Zbl 1455.11062 Trans. Am. Math. Soc. 371, No. 8, 5505-5527 (2019). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E25 11E39 PDF BibTeX XML Cite \textit{C. N. Beli} et al., Trans. Am. Math. Soc. 371, No. 8, 5505--5527 (2019; Zbl 1455.11062) Full Text: DOI
Demiroğlu Karabulut, Yeşim Waring’s problem in finite rings. (English) Zbl 1439.11262 J. Pure Appl. Algebra 223, No. 8, 3318-3329 (2019). MSC: 11P05 16K99 PDF BibTeX XML Cite \textit{Y. Demiroğlu Karabulut}, J. Pure Appl. Algebra 223, No. 8, 3318--3329 (2019; Zbl 1439.11262) Full Text: DOI
Liu, Y. Exceptional set for sums of unlike powers of primes. (English) Zbl 1441.11259 Int. J. Number Theory 15, No. 2, 339-352 (2019). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{Y. Liu}, Int. J. Number Theory 15, No. 2, 339--352 (2019; Zbl 1441.11259) Full Text: DOI
Zhao, Xiaodong Two prime squares, four prime cubes and powers of 2. (English) Zbl 1452.11121 Acta Arith. 187, No. 2, 143-150 (2019). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{X. Zhao}, Acta Arith. 187, No. 2, 143--150 (2019; Zbl 1452.11121) Full Text: DOI
Biggs, Kirsti D. Almost equal summands in Waring’s problem with shifts. (English) Zbl 06997676 Monatsh. Math. 188, No. 1, 31-35 (2019). MSC: 11D75 11P05 PDF BibTeX XML Cite \textit{K. D. Biggs}, Monatsh. Math. 188, No. 1, 31--35 (2019; Zbl 06997676) Full Text: DOI
Languasco, Alessandro; Zaccagnini, Alessandro Short intervals asymptotic formulae for binary problems with prime powers. (English. French summary) Zbl 1441.11261 J. Théor. Nombres Bordx. 30, No. 2, 609-635 (2018). MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{A. Languasco} and \textit{A. Zaccagnini}, J. Théor. Nombres Bordx. 30, No. 2, 609--635 (2018; Zbl 1441.11261) Full Text: DOI
Akbal, Yıldırım; Güloğlu, Ahmet M. Waring-Goldbach problem with Piatetski-Shapiro primes. (English. French summary) Zbl 1443.11207 J. Théor. Nombres Bordx. 30, No. 2, 449-467 (2018). MSC: 11P32 11P05 11P55 11L03 11L07 11L15 11L20 11B83 PDF BibTeX XML Cite \textit{Y. Akbal} and \textit{A. M. Güloğlu}, J. Théor. Nombres Bordx. 30, No. 2, 449--467 (2018; Zbl 1443.11207) Full Text: DOI
Pollack, Paul; Treviño, Enrique Finding the four squares in Lagrange’s theorem. (English) Zbl 1441.11078 Integers 18A, Paper A15, 16 p. (2018). MSC: 11E25 11B34 11Y16 11P05 PDF BibTeX XML Cite \textit{P. Pollack} and \textit{E. Treviño}, Integers 18A, Paper A15, 16 p. (2018; Zbl 1441.11078) Full Text: Link
Foo, Timothy On the sum of integers from some multiplicative sets and some powers of integers. (English) Zbl 1450.11104 Integers 18, Paper A27, 5 p. (2018). MSC: 11P32 11P05 PDF BibTeX XML Cite \textit{T. Foo}, Integers 18, Paper A27, 5 p. (2018; Zbl 1450.11104) Full Text: Link arXiv
Wang, M. Exceptional sets for sums of five and six almost equal prime cubes. (English) Zbl 1424.11146 Acta Math. Hung. 156, No. 2, 424-434 (2018). Reviewer: Štefan Porubský (Praha) MSC: 11P32 11D85 11P05 11P55 PDF BibTeX XML Cite \textit{M. Wang}, Acta Math. Hung. 156, No. 2, 424--434 (2018; Zbl 1424.11146) Full Text: DOI
Casarotti, Alex; Massarenti, Alex; Mella, Massimiliano On Comon’s and Strassen’s conjectures. (English) Zbl 1404.15019 Mathematics 6, No. 11, Paper No. 217, 13 p. (2018). MSC: 15A69 15A72 11P05 14N05 PDF BibTeX XML Cite \textit{A. Casarotti} et al., Mathematics 6, No. 11, Paper No. 217, 13 p. (2018; Zbl 1404.15019) Full Text: DOI arXiv
Henriot, Kevin; Hughes, Kevin Restriction estimates of \(\varepsilon\)-removal type for \(k\)-th powers and paraboloids. (English) Zbl 1446.11184 Math. Ann. 372, No. 3-4, 963-998 (2018). MSC: 11P05 11P55 42B25 42B37 PDF BibTeX XML Cite \textit{K. Henriot} and \textit{K. Hughes}, Math. Ann. 372, No. 3--4, 963--998 (2018; Zbl 1446.11184) Full Text: DOI
Shi, Sanying; Liu, Li On the Waring-Goldbach problem for six cubes and two biquadrates. (English) Zbl 1456.11192 Chin. Ann. Math., Ser. B 39, No. 6, 1033-1046 (2018). MSC: 11P32 11P05 11N36 PDF BibTeX XML Cite \textit{S. Shi} and \textit{L. Liu}, Chin. Ann. Math., Ser. B 39, No. 6, 1033--1046 (2018; Zbl 1456.11192) Full Text: DOI
Zhu, Wenbin Erratum to “Representation of integers as sums of fractional powers of primes and powers of 2”. (English) Zbl 1435.11133 Acta Arith. 185, No. 2, 197-199 (2018). MSC: 11P32 11P05 PDF BibTeX XML Cite \textit{W. Zhu}, Acta Arith. 185, No. 2, 197--199 (2018; Zbl 1435.11133) Full Text: DOI
Waibel, Fabian Fourier coefficients of half-integral weight cusp forms and Waring’s problem. (English) Zbl 1456.11068 Ramanujan J. 47, No. 1, 185-200 (2018). MSC: 11F30 11F37 11P05 PDF BibTeX XML Cite \textit{F. Waibel}, Ramanujan J. 47, No. 1, 185--200 (2018; Zbl 1456.11068) Full Text: DOI arXiv
Zhang, Min; Li, Jinjiang Exceptional set for sums of unlike powers of primes. (English) Zbl 1443.11204 Taiwanese J. Math. 22, No. 4, 779-811 (2018). MSC: 11P05 11P32 11P55 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Li}, Taiwanese J. Math. 22, No. 4, 779--811 (2018; Zbl 1443.11204) Full Text: DOI Euclid
García, Victor Cuauhtemoc; Nicolae, Florin Additive bases with coefficients of newforms. (English) Zbl 1451.11033 Forum Math. 30, No. 5, 1079-1087 (2018). MSC: 11F30 11P05 PDF BibTeX XML Cite \textit{V. C. García} and \textit{F. Nicolae}, Forum Math. 30, No. 5, 1079--1087 (2018; Zbl 1451.11033) Full Text: DOI arXiv
Ge, Wenxu; Zhang, Min; Li, Jinjiang The values of binary linear forms at prime arguments. (English) Zbl 1444.11203 J. Number Theory 192, 47-64 (2018). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{W. Ge} et al., J. Number Theory 192, 47--64 (2018; Zbl 1444.11203) Full Text: DOI
Pollack, Paul A remark on the number field analogue of Waring’s constant \(g(k)\). (English) Zbl 1419.11115 Math. Nachr. 291, No. 11-12, 1893-1898 (2018). MSC: 11P05 11R04 11R47 PDF BibTeX XML Cite \textit{P. Pollack}, Math. Nachr. 291, No. 11--12, 1893--1898 (2018; Zbl 1419.11115) Full Text: DOI
Zhang, Min; Li, Jinjiang Waring-Goldbach problem for unlike powers with almost equal variables. (English) Zbl 1445.11112 Int. J. Number Theory 14, No. 9, 2441-2472 (2018). MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Li}, Int. J. Number Theory 14, No. 9, 2441--2472 (2018; Zbl 1445.11112) Full Text: DOI
Li, Jinjiang; Zhang, Min On the Waring-Goldbach problem for one square and five cubes. (English) Zbl 1445.11111 Int. J. Number Theory 14, No. 9, 2425-2440 (2018). MSC: 11P32 11P55 11N36 11P05 PDF BibTeX XML Cite \textit{J. Li} and \textit{M. Zhang}, Int. J. Number Theory 14, No. 9, 2425--2440 (2018; Zbl 1445.11111) Full Text: DOI arXiv
Pollack, Paul Waring’s problem for integral quaternions. (English) Zbl 1442.11138 Indag. Math., New Ser. 29, No. 5, 1259-1269 (2018). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11P05 11R52 PDF BibTeX XML Cite \textit{P. Pollack}, Indag. Math., New Ser. 29, No. 5, 1259--1269 (2018; Zbl 1442.11138) Full Text: DOI
Lü, Guangshi On sum of one prime, two squares of primes and powers of 2. (English) Zbl 1454.11180 Monatsh. Math. 187, No. 1, 113-123 (2018). MSC: 11P32 11P05 11N36 11P55 PDF BibTeX XML Cite \textit{G. Lü}, Monatsh. Math. 187, No. 1, 113--123 (2018; Zbl 1454.11180) Full Text: DOI
Vaughan, Robert C.; Wooley, Trevor D. The asymptotic formula in Waring’s problem: higher order expansions. (English) Zbl 1415.11123 J. Reine Angew. Math. 742, 17-46 (2018). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{R. C. Vaughan} and \textit{T. D. Wooley}, J. Reine Angew. Math. 742, 17--46 (2018; Zbl 1415.11123) Full Text: DOI arXiv
Reynya, M. A. Representation of a rational number as a sum of ninth or higher odd powers. (English) Zbl 1440.11043 Funct. Approximatio, Comment. Math. 58, No. 1, 79-87 (2018). MSC: 11D72 11P05 PDF BibTeX XML Cite \textit{M. A. Reynya}, Funct. Approximatio, Comment. Math. 58, No. 1, 79--87 (2018; Zbl 1440.11043) Full Text: DOI Euclid
Sun, Yu-Chen; Sun, Zhi-Wei Some variants of Lagrange’s four squares theorem. (English) Zbl 1410.11035 Acta Arith. 183, No. 4, 339-356 (2018). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11D85 11E20 11P05 11P99 PDF BibTeX XML Cite \textit{Y.-C. Sun} and \textit{Z.-W. Sun}, Acta Arith. 183, No. 4, 339--356 (2018; Zbl 1410.11035) Full Text: DOI arXiv
Hanson, Brandon; Zaman, Asif The density of numbers represented by diagonal forms of large degree. (English) Zbl 1439.11098 Mathematika 64, No. 2, 542-550 (2018). MSC: 11D45 11P05 PDF BibTeX XML Cite \textit{B. Hanson} and \textit{A. Zaman}, Mathematika 64, No. 2, 542--550 (2018; Zbl 1439.11098) Full Text: DOI arXiv
Li, Jinjiang; Zhang, Min On Waring-Goldbach problem for unlike powers. (English) Zbl 1411.11093 Int. J. Number Theory 14, No. 6, 1669-1687 (2018). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P32 11P55 11N36 PDF BibTeX XML Cite \textit{J. Li} and \textit{M. Zhang}, Int. J. Number Theory 14, No. 6, 1669--1687 (2018; Zbl 1411.11093) Full Text: DOI
Ferreira, L. A. Finitely stable additive bases. (English) Zbl 1443.11006 Bull. Aust. Math. Soc. 97, No. 3, 360-362 (2018). MSC: 11B13 11P05 PDF BibTeX XML Cite \textit{L. A. Ferreira}, Bull. Aust. Math. Soc. 97, No. 3, 360--362 (2018; Zbl 1443.11006) Full Text: DOI
Biggs, Kirsti D. On the asymptotic formula in Waring’s problem with shifts. (English) Zbl 1434.11087 J. Number Theory 189, 353-379 (2018). MSC: 11D75 11D45 11P05 11P55 PDF BibTeX XML Cite \textit{K. D. Biggs}, J. Number Theory 189, 353--379 (2018; Zbl 1434.11087) Full Text: DOI
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 PDF BibTeX XML Cite \textit{L. Hu} and \textit{L. Yang}, Acta Arith. 183, No. 1, 63--85 (2018; Zbl 1428.11170) Full Text: DOI
Liu, Zhixin Small prime solutions of a nonlinear equation. (English) Zbl 1431.11114 J. Number Theory 185, 479-489 (2018). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{Z. Liu}, J. Number Theory 185, 479--489 (2018; Zbl 1431.11114) Full Text: DOI
Akbal, Yıldırım; Güloğlu, Ahmet M. On Waring-Goldbach problem with Piatetski-Shapiro primes. (English) Zbl 1432.11135 J. Number Theory 185, 80-92 (2018). MSC: 11P32 11P05 11P55 11L07 11L15 PDF BibTeX XML Cite \textit{Y. Akbal} and \textit{A. M. Güloğlu}, J. Number Theory 185, 80--92 (2018; Zbl 1432.11135) Full Text: DOI
Zhu, Wenbin A binary additive problem with fractional powers. (English) Zbl 1428.11175 Int. J. Number Theory 14, No. 1, 221-232 (2018). MSC: 11P05 11L07 11N25 PDF BibTeX XML Cite \textit{W. Zhu}, Int. J. Number Theory 14, No. 1, 221--232 (2018; Zbl 1428.11175) Full Text: DOI
Petrov, Zhivko On an equation involving fractional powers with prime numbers of a special type. (English) Zbl 07360336 God. Sofiĭ. Univ., Fak. Mat. Inform. 104, 171-183 (2017). MSC: 11P05 11N36 PDF BibTeX XML Cite \textit{Z. Petrov}, God. Sofiĭ. Univ., Fak. Mat. Inform. 104, 171--183 (2017; Zbl 07360336) Full Text: Link
Wooley, Trevor D. Discrete Fourier restriction via efficient congruencing. (English) Zbl 1405.11130 Int. Math. Res. Not. 2017, No. 5, 1342-1389 (2017). MSC: 11P05 11P55 11L15 PDF BibTeX XML Cite \textit{T. D. Wooley}, Int. Math. Res. Not. 2017, No. 5, 1342--1389 (2017; Zbl 1405.11130) Full Text: DOI
Sun, Zhiwei New conjectures on representations of integers. I. (English) Zbl 1413.11022 J. Nanjing Univ., Nat. Sci. 34, No. 2, 97-120 (2017). MSC: 11B34 11P05 PDF BibTeX XML Cite \textit{Z. Sun}, J. Nanjing Univ., Nat. Sci. 34, No. 2, 97--120 (2017; Zbl 1413.11022) Full Text: DOI
Szabó, Peter Goldbach’s conjecture in max-algebra. (English) Zbl 1400.11131 Comput. Manag. Sci. 14, No. 1, 81-89 (2017). MSC: 11P05 15A80 PDF BibTeX XML Cite \textit{P. Szabó}, Comput. Manag. Sci. 14, No. 1, 81--89 (2017; Zbl 1400.11131) Full Text: DOI
Bykovskii, V. A. On the distribution of integer points on a hyperboloid. (Russian. English summary) Zbl 1426.11118 Dal’nevost. Mat. Zh. 17, No. 2, 147-151 (2017). MSC: 11P05 11F03 11F12 PDF BibTeX XML Cite \textit{V. A. Bykovskii}, Dal'nevost. Mat. Zh. 17, No. 2, 147--151 (2017; Zbl 1426.11118) Full Text: MNR
Farhi, Bakir On the representation of an even perfect number as the sum of five cubes. (English) Zbl 1431.11009 Funct. Approximatio, Comment. Math. 57, No. 2, 277-278 (2017). MSC: 11A25 11P05 PDF BibTeX XML Cite \textit{B. Farhi}, Funct. Approximatio, Comment. Math. 57, No. 2, 277--278 (2017; Zbl 1431.11009) Full Text: DOI Euclid
Nenashev, Gleb; Shapiro, Boris; Shapiro, Michael Secant degeneracy index of the standard strata in the space of binary forms. (English) Zbl 1400.14137 Arnold Math. J. 3, No. 4, 499-510 (2017). Reviewer: Luca Chiantini (Siena) MSC: 14N05 14M99 11E25 11P05 PDF BibTeX XML Cite \textit{G. Nenashev} et al., Arnold Math. J. 3, No. 4, 499--510 (2017; Zbl 1400.14137) Full Text: DOI
Feng, Zhao Quantitative relations between short intervals and exceptional sets of cubic Waring-Goldbach problem. (English) Zbl 1417.11147 Open Math. 15, 1517-1529 (2017). MSC: 11P32 11P05 11N36 11P55 PDF BibTeX XML Cite \textit{Z. Feng}, Open Math. 15, 1517--1529 (2017; Zbl 1417.11147) Full Text: DOI
Hu, Liqun; Yang, Li On pairs of equations in unlike powers of primes and powers of 2. (English) Zbl 1432.11137 Open Math. 15, 1487-1494 (2017). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{L. Hu} and \textit{L. Yang}, Open Math. 15, 1487--1494 (2017; Zbl 1432.11137) Full Text: DOI
Li, Yingjie; Cai, Yingchun On a Waring-Goldbach problem for mixed powers. (English) Zbl 1428.11178 Rocky Mt. J. Math. 47, No. 6, 1947-1961 (2017). MSC: 11P32 11P05 11N36 PDF BibTeX XML Cite \textit{Y. Li} and \textit{Y. Cai}, Rocky Mt. J. Math. 47, No. 6, 1947--1961 (2017; Zbl 1428.11178) Full Text: DOI Euclid
Zhu, Wenbin Representation of integers as sums of fractional powers of primes and powers of 2. (English) Zbl 1441.11262 Acta Arith. 181, No. 2, 185-196 (2017); erratum ibid. 185, No. 2, 197-199 (2018). Reviewer: Stephan Baier (Haora) MSC: 11P32 11P05 11N36 PDF BibTeX XML Cite \textit{W. Zhu}, Acta Arith. 181, No. 2, 185--196 (2017; Zbl 1441.11262) Full Text: DOI
Reznick, Bruce; Tokcan, Neriman Binary forms with three different relative ranks. (English) Zbl 1400.11093 Proc. Am. Math. Soc. 145, No. 12, 5169-5177 (2017). Reviewer: M. Rafiq Omar (Bellville) MSC: 11E76 11P05 12D15 14N10 PDF BibTeX XML Cite \textit{B. Reznick} and \textit{N. Tokcan}, Proc. Am. Math. Soc. 145, No. 12, 5169--5177 (2017; Zbl 1400.11093) Full Text: DOI arXiv
Neale, Vicky Closing the gap. The quest to understand prime numbers. (English) Zbl 1446.00008 Oxford: Oxford University Press (ISBN 978-0-19-878828-7/hbk). vi, 164 p. (2017). Reviewer: Panayiotis Vlamos (Athena) MSC: 00A09 11-01 11A51 11N05 11A41 PDF BibTeX XML Cite \textit{V. Neale}, Closing the gap. The quest to understand prime numbers. Oxford: Oxford University Press (2017; Zbl 1446.00008)
Levan, Paul; Prier, David Improved bounds on the anti-Waring number. (English) Zbl 1427.11099 J. Integer Seq. 20, No. 8, Article 17.8.7, 8 p. (2017). MSC: 11P05 05A17 05A15 PDF BibTeX XML Cite \textit{P. Levan} and \textit{D. Prier}, J. Integer Seq. 20, No. 8, Article 17.8.7, 8 p. (2017; Zbl 1427.11099) Full Text: EMIS
Hughes, Kevin Restricted weak-type endpoint estimates for \(k\)-spherical maximal functions. (English) Zbl 1375.42032 Math. Z. 286, No. 3-4, 1303-1321 (2017). MSC: 42B25 11P05 11P55 11L07 37A45 PDF BibTeX XML Cite \textit{K. Hughes}, Math. Z. 286, No. 3--4, 1303--1321 (2017; Zbl 1375.42032) Full Text: DOI