## Found 129 Documents (Results 1–100)

100
MathJax

### A matryoshka structure of higher secant varieties and the generalized Bronowski’s conjecture. (English)Zbl 07567798

MSC:  14N07 13D02 14N25
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### Tensor powers of rank 1 Drinfeld modules and periods. (English)Zbl 1480.11075

MSC:  11G09 11F52
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### Inverting catalecticants of ternary quartics. (English)Zbl 1481.14091

MSC:  14Q15 14N07
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### New solutions of the Tarry-Escott problem of degrees 2, 3 and 5. (English)Zbl 1479.11057

MSC:  11D72 11D25 11D41
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### Birational geometry of defective varieties. II. (English)Zbl 1461.14070

MSC:  14N05 14N07
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### An improvement of Prouhet’s 1851 result on multigrade chains. (English)Zbl 1478.11051

MSC:  11D72 11D41
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### Forms of the Segre cubic. (English. Russian original)Zbl 1440.14237

Math. Notes 107, No. 1, 3-9 (2020); translation from Mat. Zametki 107, No. 1, 3-10 (2020).
MSC:  14N07 14E05 14J50
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### Triads of integers with equal sums of squares and equal products and a related multigrade chain. (English)Zbl 1428.11055

MSC:  11D09 11D25 11D41
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### On the Waring rank of binary forms. (English)Zbl 1426.11033

MSC:  11E76 11P05 12D15
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### A new approach to the Tarry-Escott problem. (English)Zbl 1409.11028

MSC:  11D72 11D41
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### On primitive integer solutions of the Diophantine equation $$t^2 = G(x, y, z)$$ and related results. (English)Zbl 1372.11044

MSC:  11D41 11D72
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MSC:  11E76
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### On two Diophantine equations $$2A^6 + B^6 = 2C^6 \pm D^3$$. (English)Zbl 1342.11045

MSC:  11D41 11D72
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### A note on equal sums of fifth powers. (English)Zbl 1325.11032

MSC:  11D41 11D72

### A quintic Diophantine equation with applications to two Diophantine systems concerning fifth powers. (English)Zbl 1345.11023

MSC:  11D41 11D72
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### On the length of binary forms. (English)Zbl 1295.11031

Alladi, Krishnaswami (ed.) et al., Quadratic and higher degree forms. New York, NY: Springer (ISBN 978-1-4614-7487-6/hbk; 978-1-4614-7488-3/ebook). Developments in Mathematics 31, 207-232 (2013).
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### Equal sums of like powers and equal products of integers. (English)Zbl 1355.11022

MSC:  11D41 11D72
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### A symmetric Diophantine system concerning fifth powers. (English)Zbl 1294.11032

MSC:  11D41 11D72 11Y50
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### Blenders. (English)Zbl 1281.11031

Brändén, Petter (ed.) et al., Notions of positivity and the geometry of polynomials. Dedicated to the memory of Julius Borcea. Basel: Birkhäuser (ISBN 978-3-0348-0141-6/hbk; 978-3-0348-0142-3/ebook). Trends in Mathematics, 345-373 (2011).
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### A $$p$$-adic view of multiple sums of powers. (English)Zbl 1256.11065

MSC:  11S40 11M32 11B68
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### Equal sums of like powers, both positive and negative. (English)Zbl 1243.11049

MSC:  11D72 11D41
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### Elementary equivalence of Cartesian powers of the same group. (Équivalence élémentaire de puissances cartésiennes d’un même groupe.) (French)Zbl 1210.20001

MSC:  20A15 03C75 03B15 20K10 20K25 03C60 20E34
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### Sums and differences of three $$k$$th powers. (English)Zbl 1182.11017

Reviewer: B. Z. Moroz (Bonn)
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### Bundles over Fano threefolds of type $$V_{22}$$. (English)Zbl 1232.14025

MSC:  14J60 14D20 14F05 14J30
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### Simultaneous equal sums of three powers. (English)Zbl 1177.11029

Zannier, Umberto (ed.), Diophantine geometry. Selected papers of a the workshop, Pisa, Italy, April 12–July 22, 2005. Pisa: Edizioni della Normale (ISBN 978-88-7642-206-5/pbk). Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie) 4, 93-100 (2007).
Reviewer: B. Z. Moroz (Bonn)
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### Geometric progressions in sumsets over finite fields. (English)Zbl 1140.11010

MSC:  11B30 11T23 11T30
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### Sums of $$d$$th powers in non-commutative rings. (English)Zbl 1219.11062

MSC:  11E76 11E04
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### Equal sums of three powers. (English)Zbl 1135.11052

MSC:  11P05 11D41 11D45
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### Geometric theorems, Diophantine equations, and arithmetic functions. (English)Zbl 1004.11001

Rehoboth, NM: American Research Press. 298 p. (2002).
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### On sums of two $$k$$th powers: a mean-square asymptotics over short intervals. (English)Zbl 0986.11068

MSC:  11P21 11N37 11L07
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### Enumerating solutions to $$p(a)+q(b)=r(c)+s(d)$$. (English)Zbl 0960.11055

Reviewer: B.Z.Moroz (Bonn)
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### Some concrete aspects of Hilbert’s 17th problem. (English)Zbl 0972.11021

Delzell, Charles N. (ed.) et al., Real algebraic geometry and ordered structures. AMS special session, Baton Rouge, LA, USA, April 17-21, 1996 and the associated special semester at Louisiana State University and Southern University, Baton Rouge, LA, USA, January-May 1996. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 253, 251-272 (2000).

### On sums of two $$k$$th powers: An asymptotic formula for the mean square of the error term. (English)Zbl 0948.11035

MSC:  11P21 11N37 11L07
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### The diophantine equation $$ax^5+by^5+cz^5=au^5+bv^5+cw^5$$. (English)Zbl 0939.11017

MSC:  11D41 11D72
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### Higher levels of $$\mathbb{Z}/p^l\mathbb{Z}$$ and period equations. (English)Zbl 0956.11010

MSC:  11E76 12E20 11S99
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MSC:  11D41

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### On orderings of higher level. (English)Zbl 0956.12004

Droste, Manfred (ed.) et al., Advances in algebra and model theory. Selected surveys presented at conferences in Essen 1994 and Dresden 1995. Reading: Gordon and Breach Science Publishers. Algebra Log. Appl. 9, 25-52 (1997).
MSC:  12J15 12D15 12L12

### On equal sums of fifth powers. (English)Zbl 0899.11014

Reviewer: E.L.Cohen (Ottawa)
MSC:  11D41 11D72

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### Sums of $$2m$$-th powers of rational functions in one variable over real closed fields. (English)Zbl 0859.12002

MSC:  12D15 11E76 11P05
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MSC:  11P05

### Further improvements in Waring’s problem. (English)Zbl 0849.11075

MSC:  11P05 11P55
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### On the construction of sets of integers with equal power sums. (English)Zbl 0829.11018

Reviewer: E.L.Cohen (Ottawa)
MSC:  11D72 11D41
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### Further improvements in Waring’s problem. II: Sixth powers. (English)Zbl 0849.11076

MSC:  11P05 11P55
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### The asymptotic formula in Waring’s problem. (English)Zbl 0815.11050

MSC:  11P55 11P05
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### On equal sums of sixth powers. (English)Zbl 0811.11025

Reviewer: E.L.Cohen (Ottawa)
MSC:  11D41 11D72

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### On the sum of $$k$$-th powers of natural numbers. (English. Russian original)Zbl 0895.11038

Proc. Steklov Inst. Math. 207, 155-161 (1995); translation from Tr. Mat. Inst. Steklova 207, 172-179 (1994).

### The number of lattice points inside and on the surface $$| t_ 1|^ k+| t_ 2| ^ k+\dots+| t_ n| ^ k=x$$. (English)Zbl 0822.11068

Reviewer: W.G.Nowak (Wien)
MSC:  11P21 11N37 11L07
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### Further improvements in Waring’s problem. III: Eighth powers. (English)Zbl 0849.11077

MSC:  11P05 11P55
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### The use in additive number theory of numbers without large prime factors. (English)Zbl 0849.11074

MSC:  11P05 11D85
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### On sums of two $$k$$-th powers of numbers in residue classes. II. (English)Zbl 0799.11037

Reviewer: W.G.Nowak (Wien)
MSC:  11N37 11P99
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### On estimates of Gaussian sums and Waring’s problem for a prime modulus. (English. Russian original)Zbl 0820.11048

Stechin, S. B. (ed.) Proceedings of an All-Union school on the theory of functions. Proc. Steklov Inst. Math. 198, 105-117 (1994); translation from Tr. Mat. Inst. Steklova 198, 111-124 (1992).
MSC:  11L05 11P05 11L07

### On Waring’s problem for ninth and tenth powers. (Chinese. English summary)Zbl 0759.11033

MSC:  11P05 11P55

### The diophantine system $$\sum ^ 4_ 1 x^ r_ i =\sum ^ 4_ 1 y^ r_ i, r= 1,3,5$$. (English)Zbl 0742.11014

MSC:  11D41 11D72

### On the representation of $$-1$$ as a sum of fourth and sixth powers. (English)Zbl 0749.12003

Reviewer: A.Pfister (Mainz)
MSC:  12D15 11E76

### Equal sums of unlike powers. (English)Zbl 0714.11020

Reviewer: J.Brüdern
MSC:  11D41 11D72

MSC:  11P05

### On the constant in the Tarry-Escott problem. (English)Zbl 0697.10016

Fifty years of polynomials, Proc. Conf. in Honour of Alain Durand, Paris/Fr. 1988, Lect. Notes Math. 1415, 196-208 (1990).
Reviewer: E.L.Cohen
MSC:  11D72 11D41

### On Waring’s problem for fifth powers and some related topics. (English)Zbl 0677.10036

Reviewer: J.Brüdern
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### On representation of $$r$$-th powers by subset sums. (English)Zbl 0691.10042

Reviewer: M.Nair
MSC:  11B13 11P99
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### Representation of every rational number as an algebraic sum of fifth powers of rational numbers. (English)Zbl 0687.10011

Reviewer: J.Brüdern
MSC:  11D41 11P05

### On a probabilistic method in additive number theory. (English)Zbl 0672.10037

Reviewer: J.Zöllner

### A new iterative method in Waring’s problem. (English)Zbl 0665.10033

Reviewer: J.Brüdern
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### On sums of positive integral powers and simple proof of $$G(6)\leq 31$$. (English)Zbl 0641.10037

Reviewer: K.Thanigasalam
MSC:  11P05 11D85 11P55

### Eine Bemerkung zu den höheren Pythagoraszahlen reeller Körper. (A remark on higher Pythagoras numbers of real fields). (German)Zbl 0676.10017

Reviewer: D.B.Shapiro
MSC:  11E10 12D15 14Pxx
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### Further research on some congruence problems of sums of powers. (Chinese. English summary)Zbl 0669.10006

Reviewer: Lu Minggao
MSC:  11A07 11B39

### Problems and results on minimal bases in additive number theory. (English)Zbl 0622.10041

Number theory, Semin. New York 1984/85, Lect. Notes Math. 1240, 87-96 (1987).
Reviewer: J.Zöllner

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### Sums of 2n-th powers in real function fields. (English)Zbl 0604.12017

Algebra and order, Proc. 1st Int. Symp., Luminy-Marseilles/France 1984, Res. Expo. Math. 14, 171-174 (1986).

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### Prime divisors on real varieties and valuation theory. (English)Zbl 0595.12015

Reviewer: A.Prestel
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### Waring’s problem for finite intervals. (English)Zbl 0592.10042

Reviewer: J.Zöllner
MSC:  11P05 11B13 11B05
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### On certain additive representations of integers. (English)Zbl 0574.10048

MSC:  11P05 11P55 11D85
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### Some hypotheses in Waring’s problem. (English)Zbl 0608.10044

Number theory and combinatorics, Proc. Conf., Tokyo/Jap., Okayama/Jap. and Kyoto/Jap. 1984, 105-117 (1985).
Reviewer: G.Greaves
MSC:  11P05 11P55

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### Spectral expansions of certain automorphic functions and their number- theoretic applications. (Russian. English summary)Zbl 0536.10024

Reviewer: N.V.Kuznetsov
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