The zeta function of the additive divisor problem and spectral decomposition of the automorphic Laplacian

A. I. Vinogradov; L. A. Takhtadzhyan

doi:10.1007/bf01104973

The zeta function of the additive divisor problem and spectral decomposition of the automorphic Laplacian

Journal of Soviet Mathematics ◽

10.1007/bf01104973 ◽

1987 ◽

Vol 36 (1) ◽

pp. 57-78 ◽

Cited By ~ 3

Author(s):

A. I. Vinogradov ◽

L. A. Takhtadzhyan

Keyword(s):

Zeta Function ◽

Spectral Decomposition ◽

Divisor Problem ◽

Additive Divisor Problem ◽

Additive Divisor

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Some $\Omega$-results related to the fourth power moment of the Riemann zeta-function and to the additive divisor problem

Journal de Théorie des Nombres de Bordeaux ◽

10.5802/jtnb.188 ◽

1997 ◽

Vol 9 (1) ◽

pp. 41-50

Author(s):

Jerzy Kaczorowski ◽

Bogdan Szydło

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Divisor Problem ◽

Fourth Power ◽

Power Moment ◽

The Riemann Zeta Function ◽

Additive Divisor Problem ◽

Riemann Zeta ◽

Additive Divisor

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THE GENERAL ADDITIVE DIVISOR PROBLEM AND MOMENTS OF THE ZETA-FUNCTION

Analytic and Probabilistic Methods in Number Theory ◽

10.1515/9783110944648.69 ◽

2012 ◽

Cited By ~ 2

Author(s):

ALEKSANDAR IVIĆ

Keyword(s):

Zeta Function ◽

Divisor Problem ◽

Additive Divisor Problem ◽

Additive Divisor

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On the Ternary Additive Divisor Problem and the Sixth Moment of the Zeta-Function

Sieve Methods, Exponential Sums, and their Applications in Number Theory ◽

10.1017/cbo9780511526091.015 ◽

1997 ◽

pp. 205-244 ◽

Cited By ~ 13

Author(s):

A. Ivić

Keyword(s):

Zeta Function ◽

Divisor Problem ◽

Additive Divisor Problem ◽

Sixth Moment ◽

Additive Divisor

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The additive divisor problem and its analogs for fourier coefficients of cusp forms. I

Mathematische Zeitschrift ◽

10.1007/bf02621609 ◽

1996 ◽

Vol 223 (1) ◽

pp. 435-461 ◽

Cited By ~ 3

Author(s):

Matti Jutila

Keyword(s):

Fourier Coefficients ◽

Divisor Problem ◽

Cusp Forms ◽

Additive Divisor Problem ◽

Additive Divisor

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ON SOME ESTIMATES INVOLVING THE BINARY ADDITIVE DIVISOR PROBLEM

The Quarterly Journal of Mathematics ◽

10.1093/qmath/46.4.471 ◽

1995 ◽

Vol 46 (4) ◽

pp. 471-483 ◽

Cited By ~ 3

Author(s):

ALEKSANDAR IVIĆ ◽

YOICHI MOTOHASHI

Keyword(s):

Divisor Problem ◽

Additive Divisor Problem ◽

Additive Divisor

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On the Binary Additive Divisor Problem

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543817080028 ◽

2017 ◽

Vol 299 (1) ◽

pp. 44-49 ◽

Cited By ~ 2

Author(s):

Olga G. Balkanova ◽

Dmitry A. Frolenkov

Keyword(s):

Divisor Problem ◽

Additive Divisor Problem ◽

Additive Divisor

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Additive divisor problem and its generalization

Journal of Soviet Mathematics ◽

10.1007/bf01727660 ◽

1988 ◽

Vol 43 (5) ◽

pp. 2737-2743

Author(s):

N. M. Timofeev

Keyword(s):

Divisor Problem ◽

Additive Divisor Problem ◽

Additive Divisor

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Estimates in the mean in the additive divisor problem

Eight Papers Translated from the Russian - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/143/02 ◽

1989 ◽

pp. 15-27

Author(s):

R. F. Faĭziev

Keyword(s):

Divisor Problem ◽

Additive Divisor Problem ◽

The Mean ◽

Additive Divisor

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On the binary additive divisor problem

Number Theory ◽

10.1515/9783110870923.223 ◽

2013 ◽

Cited By ~ 1

Author(s):

Tom Meurman

Keyword(s):

Divisor Problem ◽

Additive Divisor Problem ◽

Additive Divisor

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The Additive Divisor Problem

Translations of Mathematical Monographs - The Dispersion Method in Binary Additive Problems ◽

10.1090/mmono/004/04 ◽

2005 ◽

pp. 64-83

Keyword(s):

Divisor Problem ◽

Additive Divisor Problem ◽

Additive Divisor

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