## Found 1,630 Documents (Results 1–100)

100
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### On smooth Weyl sums over biquadrates and Waring’s problem. (English)Zbl 07565699

MSC:  11P05 11L15 11P55
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### The Prouhet-Tarry-Escott problem, indecomposability of polynomials and Diophantine equations. (English)Zbl 07557857

MSC:  11P05 11B75 11D41
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### Goldbach-Linnik type problems on eight cubes of primes. (English)Zbl 07556060

MSC:  11P05 11P55
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MSC:  11P05
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### The exceptional set of one prime square and five prime cubes. (English)Zbl 07523107

MSC:  11P05 11P32
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### Matrix Waring problem. (English)Zbl 1485.11143

MSC:  11P05 11G25
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### Goldbach-Linnik type problems with unequal powers of primes. (English)Zbl 07499620

MSC:  11P05 11P55
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### Matrices over non-commutative rings as sums of powers. (English)Zbl 1482.16044

MSC:  16S50 11P05 15A30
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### Simultaneous cubic and quadratic diagonal equations in 12 prime variables. (English)Zbl 07490451

MSC:  11P05 11P32
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### Uniform bounds in Waring’s problem over some diagonal forms. (English)Zbl 07489537

MSC:  11E76 11P05 11P55
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### On a Waring’s problem for Hermitian lattices. (English)Zbl 07465710

MSC:  11E39 11E12 11E20
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### Goldbach-Linnik type problems on cubes of primes. (English)Zbl 07462097

MSC:  11P32 11P05 11P55
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### On sums of biquadratic powers with almost equal primes. (English)Zbl 07462087

MSC:  11P32 11P05 11P55
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### Sums of quaternion squares and a theorem of Watson. (English)Zbl 07483393

MSC:  11E25 11P05 11R52
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### Representation by sums of unlike powers. (English)Zbl 1487.11089

MSC:  11P05 11P55
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MSC:  11P05
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### Primes and their connection to certain polyhedral number sequences. (English)Zbl 1477.11174

MSC:  11P05 11P32 11P55
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### Slim exceptional set for sums of mixed powers of primes. (English)Zbl 1478.11113

MSC:  11P05 11P32 11P55
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### Small prime solutions of a Diophantine equation with one prime and five cubes of primes. (English)Zbl 1484.11197

MSC:  11P32 11P05 11P55
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### Cubic forms and the circle method. (English)Zbl 07413427

Progress in Mathematics 343. Cham: Birkhäuser (ISBN 978-3-030-86871-0/hbk; 978-3-030-86872-7/ebook). xiv, 166 p. (2021).
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### The Waring rank of binary binomial forms. (English)Zbl 07411001

MSC:  14N07 13F20 11P05
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### The finite field distance problem. (English)Zbl 1478.11001

The Carus Mathematical Monographs 37. Washington, DC: Mathematical Association of America (MAA) (ISBN 978-1-4704-6031-0/pbk; 978-1-4704-6773-9/ebook). xi, 181 p. (2021).
MSC:  11-01 11Txx 05-01

### On a lemma arising in the solution of Waring’s problem. (English. Russian original)Zbl 1487.44005

Sib. Math. J. 62, No. 4, 654-656 (2021); translation from Sib. Mat. Zh. 62, No. 4, 803-806 (2021).
MSC:  44A60 11P05
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### Exceptional set in Waring-Goldbach problem involving squares, cubes and sixth powers. (English)Zbl 07399105

MSC:  11P05 11P32 11P55
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### Sums of one prime power and two squares of primes in short intervals. (English)Zbl 1469.11397

MSC:  11P32 11P05 11P55
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### Sums of $$k$$-th powers and the Whittaker-Fourier coefficients of automorphic forms. (English)Zbl 1487.11045

MSC:  11F30 11P55 11P05
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### Hua Loo-Keng’s problem for primes of a special form. (English. Russian original)Zbl 1479.11172

Sb. Math. 212, No. 4, 592-603 (2021); translation from Mat. Sb. 212, No. 4, 159-170 (2021).
MSC:  11P05 11P32
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### Waring-Hilbert problem on Cantor sets. (English)Zbl 1486.11121

MSC:  11P05 28A80
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### Exceptional sets in Waring-Goldbach problem for fifth powers. (English)Zbl 1479.11173

MSC:  11P32 11P55 11P05
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### A system of two Diophantine inequalities with primes. (English)Zbl 1477.11175

MSC:  11P32 11J25 11P05
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### A Diophantine problem with unlike powers of primes. (English)Zbl 1477.11176

MSC:  11P32 11P05 11P55
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### On the Waring-Goldbach problem for one square and five cubes in short intervals. (English)Zbl 07361086

MSC:  11P05 11P32 11P55
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### Intersective polynomials arising from sums of powers. (English)Zbl 07358300

MSC:  11D79 11B30 11P05
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### A note on primes of the form $$\lfloor\alpha p+\beta\rfloor$$. (English)Zbl 1470.11256

MSC:  11P32 11P05
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### A pair of equations in four prime squares and powers of 2. (English)Zbl 1469.11395

MSC:  11P32 11P05 11P55
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### Exceptional set for sums of unlike powers of primes. II. (English)Zbl 1473.11186

MSC:  11P05 11P32 11P55
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### The Waring’s problem over finite fields through generalized Paley graphs. (English)Zbl 1468.11208

MSC:  11P05 11B30
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### Hermite reduction and a Waring’s problem for integral quadratic forms over number fields. (English)Zbl 1465.11091

MSC:  11E12 11E25 11E39
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### A pair of equations in unlike powers of primes and powers of 2. (English)Zbl 1475.11182

MSC:  11P32 11P05 11P55
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### A note on an average additive problem with prime numbers. (English)Zbl 1473.11188

MSC:  11P32 11P55 11P05
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### On an average ternary problem with prime powers. (English)Zbl 1468.11210

MSC:  11P32 11P55 11P05
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### Exceptional set of Waring-Goldbach problem with unequal powers of primes. (English)Zbl 1458.11143

MSC:  11P32 11P05 11P55
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### On squares of sums of three cubes. (English)Zbl 1464.11100

MSC:  11P05 11P55
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### Short intervals asymptotic formulae for binary problems with prime powers. II. (English)Zbl 1469.11396

MSC:  11P32 11P55 11P05
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### Waring problem for binary real forms. (Spanish)Zbl 1446.11183

MSC:  11P05 11E10

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### On sums of two prime squares, four prime cubes and powers of two. (English)Zbl 1470.11253

MSC:  11P32 11P05 11P55
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### Waring numbers for diagonal congruences. (English)Zbl 1453.11124

MSC:  11P05 11D79 11P55
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### Eight cubes of primes and 204 powers of 2. (English)Zbl 1470.11257

MSC:  11P32 11P05 11P55
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### 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
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### On a quadratic Waring’s problem with congruence conditions. (English)Zbl 1448.11077

MSC:  11E12 11E25 11P05
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MSC:  30C10
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### Computing $$n$$-th roots in $$\text{SL}_{2}$$ and Fibonacci polynomials. (English)Zbl 1443.20076

MSC:  20G15 11P05 11B39
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### Waring-Goldbach problem: two squares and three biquadrates. (English)Zbl 1480.11121

MSC:  11P05 11P55
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### Sums of fifth powers being a perfect power: a special case. (English)Zbl 1440.11044

MSC:  11D85 11D41 11P05
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### Sums of cubes in quaternion rings. (English)Zbl 1445.11105

MSC:  11P05 11R52
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### The density of integers representable as the sum of four prime cubes. (English)Zbl 1445.11109

MSC:  11P32 11P05 11N36
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### Exceptional set in Waring-Goldbach problem: two squares, two cubes and two sixth powers. (English)Zbl 1454.11178

MSC:  11P05 11P55
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### On the average number of representations of an integer as a sum of like prime powers. (English)Zbl 1464.11102

MSC:  11P32 11P05 11P55
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### The Vinogradov mean value theorem [after Wooley, and Bourgain, Demeter and Guth]. (English)Zbl 1483.11216

Séminaire Bourbaki. Volume 2016/2017. Exposés 1120–1135. Société Mathématique de France (SMF). Astérisque 407, Exp. No. 1134, 479-564 (2019).
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### Small prime solutions of equations with powers 2 and 3. (Chinese. English summary)Zbl 07494814

MSC:  11P32 11P05 11P55
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### Waring’s theorem for binary powers. (English)Zbl 1463.11148

MSC:  11P05 11B13 68R15
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### Waring’s problem for Hurwitz quaternion integers. (English)Zbl 1462.11081

MSC:  11P05 11D85 11R52
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### Exceptional sets for sums of almost equal prime cubes. (English)Zbl 1470.11248

MSC:  11P05 11P55
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### Slim exceptional set for sums of two squares, two cubes, and two biquadrates of primes. (English)Zbl 1459.11190

MSC:  11P05 11P32 11P55
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### Sums of four prime cubes in short intervals. (English)Zbl 1449.11100

MSC:  11P32 11P55 11P05
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### A pair of equations in one prime, two prime squares and powers of 2. (English)Zbl 1461.11132

MSC:  11P32 11P05 11P55
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### Waring’s problem for unipotent algebraic groups. (Le problème de Waring pour les groupes algébriques unipotents.) (English. French summary)Zbl 1459.11189

MSC:  11P05 20G15 14L15
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### The asymptotic estimates and Hasse principle for multidimensional Waring’s problem. (English)Zbl 1442.11137

MSC:  11P05 11P55 11T55
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### 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
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### Seeds for generalized taxicab numbers. (English)Zbl 1440.11011

MSC:  11B37 11D41 11P05
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### Nested efficient congruencing and relatives of Vinogradov’s mean value theorem. (English)Zbl 1456.11149

MSC:  11L15 11L07 11P55
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### On a Waring’s problem for integral quadratic and Hermitian forms. (English)Zbl 1455.11062

MSC:  11E12 11E25 11E39
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### Waring’s problem in finite rings. (English)Zbl 1439.11262

MSC:  11P05 16K99
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