Analytic methods in the theory of systems of Diophantine equations and inequalities with a large number of unknowns
type: Item
instance of: scholarly article
title: Analytic methods in the theory of systems of Diophantine equations and inequalities with a large number of unknowns
zbMATH Open document ID: 0376.10015
DOI: 10.1007/BF01085148
author: A. V. Malyshev
author: E. V. Podsypanin
published in: Journal of Soviet Mathematics
publication date: 1976-01-01T00:00:00Z
Mathematics Subject Classification ID: 11-02
Mathematics Subject Classification ID: 11D72
Mathematics Subject Classification ID: 11D85
Mathematics Subject Classification ID: 11P55
Mathematics Subject Classification ID: 11D75
zbMATH DE Number: 3585532
MaRDI profile type: Publication
cites work: Q5813998
cites work: Q5636969
cites work: Q5596976
cites work: Solving diophantine problems modulo every prime
cites work: Diophantine Problems Over Local Fields I
cites work: FOUR SQUARES AND A kth POWER
cites work: On a Method of Davenport
cites work: Homogeneous forms of odd degree in a large number of variables
cites work: Q3847051
cites work: Forms in many variables
cites work: Small Zeros of Diagonal Forms of Odd Degree in Many Variables
cites work: A CRITERION FOR THE p-ADIC SOLUBILITY OF DIOPHANTINE EQUATIONS
cites work: Q3249039
cites work: Indefinite quadratic forms in many variables
cites work: On a theorem of Davenport and Heilbronn
cites work: Note on Weyl's inequality
cites work: The addition of norm forms
cites work: On p-adic forms
cites work: Systems of three quadratic forms
cites work: Simultaneous Quadratic Forms
cites work: A note on systems of homogeneous algebraic equations
cites work: Q5514706
cites work: Q5848294
cites work: Small Positive Values of Indefinite Quadratic Forms
cites work: Démonstration d'une hypothèse de M. Artin
cites work: A Theorem on Irrational Indefinite Quadratic Forms
cites work: Q3285711
cites work: Q3285710
cites work: On Weyl's inequality and Waring's problem for cubes
cites work: Simultaneous Quadratic Equations
cites work: A NOTE ON A LEMMA OF HUA
cites work: Pairs of additive equations
cites work: Q5646972
cites work: On the fractional parts of a set of points
cites work: The Solubility of Certain Diophantine Inequalities
cites work: An extension of a theorem of Heilbronn
cites work: On the Fractional Parts of θx 2 and φx 2
cites work: The Distribution (Mod 1) of Pairs of Quadratic Forms with Integer Variables
cites work: On Waring's problem for cubes
cites work: On Sums of Positive Integral k-TH Powers
cites work: On Waring's Problem for Fifth and Sixth Powers
cites work: Cubic forms in thirty-two variables
cites work: Some Recent Progress in Analytic Number Theory
cites work: Über einige neuere Fortschritte der additiven Zahlentheorie
cites work: Cubic forms in 29 variables
cites work: Cubic forms in sixteen variables
cites work: ON A THEOREM OF HEILBRONN
cites work: On Indefinite Quadratic Forms in Five Variables
cites work: Exponential Sums in Many Variables
cites work: NOTES ON CONGRUENCES (I)
cites work: Homogeneous additive equations
cites work: Non-Homogeneous Cubic Equations
cites work: Cubic equations of additive type
cites work: Simultaneous equations of additive type
cites work: Gaps between values of positive definite quadratic forms
cites work: Indefinite Quadratic Forms
cites work: The solubility of certain Diophantine inequalities
cites work: Homogeneous additive congruences
cites work: On Waring's Problem in GF[p]
cites work: Three diagonal quadratic forms
cites work: Waring's Problem
cites work: Diagonal forms of odd degree over a finite field
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cites work: Cubic forms over algebraic number fields

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cites work: ON THE FRACTIONAL PARTS OF θnk AND φnk

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cites work: On a Theorem of Heilbronn Concerning the Fractional Part of θn2

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cites work: Q5181763

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cites work: Integer solutions of simultaneous quadratic equations

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cites work: VALUES OF QUADRATIC FORMS (I)

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cites work: Q5616282

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cites work: Q5337286

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cites work: Q3257860

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cites work: Cubic congruences

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cites work: Non-Homogeneous Cubic Equations

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