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## Motohashi, Yoichi

Compute Distance To:
 Author ID: motohashi.yoichi Published as: Motohashi, Y.; Motohashi, Yoichi; Motohashi, Yōichi External Links: Wikidata · GND
 Documents Indexed: 112 Publications since 1968, including 7 Books
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#### Co-Authors

 95 single-authored 6 Ivić, Aleksandar P. 5 Jutila, Matti Ilmari 4 Bruggeman, Roelof Wichert 2 Pintz, Janos 1 Goldston, Daniel Alan 1 Kasami, Tadao 1 Okamoto, Tadashi 1 Suzuki, Ichiro 1 Taniguchi, Kenichi 1 Yıldırım, Cem Yalçın
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#### Serials

 31 Proceedings of the Japan Academy. Series A 11 Proceedings of the Japan Academy 8 Acta Arithmetica 5 Journal of the Mathematical Society of Japan 3 RIMS Kokyuroku 2 Acta Mathematica 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Number Theory 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 Sugaku Expositions 2 Cambridge Tracts in Mathematics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Periodica Mathematica Hungarica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematica Japonica 1 Proceedings of the London Mathematical Society. Third Series 1 Publications de l’Institut Mathématique. Nouvelle Série 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Theoretical Computer Science 1 Hardy-Ramanujan Journal 1 Sūgaku 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 London Mathematical Society Lecture Note Series 1 Proceedings of the Steklov Institute of Mathematics
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#### Fields

 107 Number theory (11-XX) 3 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

86 Publications have been cited 558 times in 336 Documents Cited by Year
Spectral theory of the Riemann zeta-function. Zbl 0878.11001
Motohashi, Yoichi
1997
Uniform bound for Hecke $$L$$-functions. Zbl 1098.11034
Jutila, Matti; Motohashi, Yoichi
2005
The binary additive divisor problem. Zbl 0819.11038
Motohashi, Yoichi
1994
An induction principle for the generalization of Bombieri’s prime number theorem. Zbl 0355.10035
Motohashi, Yoichi
1976
Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field. Zbl 1068.11057
Bruggeman, Roelof W.; Motohashi, Yoichi
2003
The mean square of the error term for the fourth power moment of the zeta-function. Zbl 0805.11060
Ivić, Aleksandar; Motohashi, Yoichi
1994
An explicit formula for the fourth power mean of the Riemann zeta- function. Zbl 0784.11042
Motohashi, Yoichi
1993
On the fourth power moment of the Riemann zeta-function. Zbl 0824.11048
Ivić, Aleksandar; Motohashi, Yoichi
1995
A note on the mean value of the zeta and L-functions. I. Zbl 0573.10027
Motohashi, Yoichi
1985
Spectral mean values of Maass waveform $$L$$-functions. Zbl 0759.11026
Motohashi, Yoichi
1992
A new approach to the spectral theory of the fourth moment of the Riemann zeta-function. Zbl 1064.11059
Bruggeman, Roelof W.; Motohashi, Yoichi
2005
Primes in arithmetic progressions. Zbl 0367.10040
Motohashi, Yoichi
1978
On the distribution of prime numbers which are of the form $$x^ 2 + y^ 2 + 1$$. Zbl 0205.06801
Motohashi, Y.
1970
A note on the mean value of the Dedekind zeta-function of the quadratic field. Zbl 0198.06902
Motohashi, Y.
1970
A smoothed GPY sieve. Zbl 1278.11090
Motohashi, Yoichi; Pintz, János
2008
A note on the mean value of the zeta and $$L$$-functions. XII. Zbl 1106.11305
Motohashi, Yoichi
2002
Small gaps between primes exist. Zbl 1168.11041
Goldston, Daniel Alan; Motohashi, Yoichi; Pintz, János; Yıldırım, Cem Yalçın
2006
A note on the mean value of the zeta and $$L$$-functions. XIII. Zbl 1116.11066
Bruggeman, Roelof Wichert; Motohashi, Yoichi
2002
Lectures on sieve methods and prime number theory. Zbl 0535.10001
Motohashi, Y.
1983
A relation between the Riemann zeta-function and the hyperbolic Laplacian. Zbl 0831.11046
Motohashi, Yoichi
1995
The mean square of Hecke $$L$$-series attached to holomorphic cusp-forms. Zbl 0973.11506
Motohashi, Yōichi
1994
On some additive divisor problem. Zbl 0328.10033
Motohashi, Y.
1976
On some improvements of the Brun-Titchmarsh theorem. Zbl 0273.10040
Motohashi, Y.
1974
An asymptotic formula in the theory of numbers. Zbl 0206.06003
Motohashi, Y.
1970
A note on the approximate functional equation for $$\zeta^ 2(s)$$. I,II. Zbl 0541.10032
Motohashi, Yoichi
1983
On the distribution of the divisor function in arithmetic progressions. Zbl 0257.10022
Motohashi, Yoichi
1973
Mean values of zeta-functions via representation theory. Zbl 1112.11043
Motohashi, Yoichi
2006
A functional equation for the spectral fourth moment of modular Hecke $$L$$-functions. Zbl 1060.11028
Motohashi, Y.
2003
A note on the mean value of the zeta and L-functions. IV, V. Zbl 0613.10032
Motohashi, Yoichi
1986
On a density theorem of Linnik. Zbl 0361.10037
Motohashi, Yoichi
1976
On almost-primes in arithmetic progressions. Zbl 0317.10053
Motohashi, Y.
1976
On a mean value theorem for the remainder term in the prime number theorem for short arithmetic progressions. Zbl 0246.10027
Motohashi, Yoichi
1971
A note on the mean value of the zeta and $$L$$-functions. XIV. Zbl 1052.11035
Motohashi, Yoichi
2004
The Mellin transform of powers of the zeta-function. Zbl 0960.11039
Ivić, Aleksandar; Jutila, Matti; Motohashi, Yoichi
2000
Trace formula over the hyperbolic upper half space. Zbl 0910.11021
Motohashi, Yoichi
1997
On some estimates involving the binary additive divisor problem. Zbl 0847.11046
Ivić, Aleksandar; Motohashi, Yoichi
1995
A note on the mean value of the zeta and L-functions. II. Zbl 0583.10024
Motohashi, Yoichi
1985
A note on the least prime in an arithmetic progression with a prime difference. Zbl 0215.35302
Motohashi, Yoichi
1970
Uniform bounds for Rankin-Selberg $$L$$-functions. Zbl 1142.11031
Jutila, Matti; Motohashi, Yoichi
2006
A note on the mean value of the zeta and $$L$$-functions. X. Zbl 1049.11124
Bruggeman, Roelof Wichert; Motohashi, Yoichi
2001
New analytic problems over imaginary quadratic number fields. Zbl 0972.11073
Motohashi, Yoichi
2001
A note on the mean value of the zeta and L-functions. VI. Zbl 0699.10055
Motohashi, Yoichi
1989
A note on almost-primes in short intervals. Zbl 0445.10032
Motohashi, Yoichi
1979
A note on the large sieve. Zbl 0373.10032
Motohashi, Yoichi
1977
On the sum of the Möbius function in a short segment. Zbl 0372.10033
Motohashi, Yoichi
1976
A note on the mean value of the zeta and $$L$$-functions. XI. Zbl 0998.11025
Jutila, Matti Ilmari; Motohashi, Yoichi
2002
The Riemann zeta-function and the Hecke congruence subgroups. Zbl 0937.11033
Motohashi, Yoichi
1996
A trace formula for the Picard group. I. Zbl 0876.11021
Motohashi, Yoichi
1996
On the Kloosterman-sum zeta-function. Zbl 0834.11035
Motohashi, Yoichi
1995
Mean value estimates for exponential sums and $$L$$-functions: A spectral theoretic approach. Zbl 0809.11043
Jutila, Matti; Motohashi, Yoichi
1995
The fourth power mean of the Riemann zeta-function. Zbl 0788.11034
Motohashi, Yoichi
1992
An asymptotic series for an additive divisor problem. Zbl 0416.10034
Motohashi, Yoichi
1980
A note on Siegel’s zeros. Zbl 0445.10031
Motohashi, Yoichi
1979
On the Deuring-Heilbronn phenomenon. I. Zbl 0384.10021
Motohashi, Yoichi
1977
On some additive divisor problems. II. Zbl 0364.10022
Motohashi, Yoichi
1976
A new proof of the limit formula of Kronecker. Zbl 0186.08301
Motohashi, Y.
1968
On sums of Hecke-Maass eigenvalues squared over primes in short intervals. Zbl 1393.11039
Motohashi, Yoichi
2015
An overview of sieve methods and their history. Zbl 1203.11065
Motohashi, Yoichi
2008
An observation on the zero-free region of the Riemann zeta-function. Zbl 0980.11037
Motohashi, Yoichi
2001
A note on the mean value of the zeta and $$L$$-functions. IX. Zbl 0942.11039
Motohashi, Yoichi
1999
On Kuznetsov’s trace formulae. Zbl 0855.11025
Motohashi, Yoichi
1996
A note on the mean value of the zeta and L-functions. VIII. Zbl 0812.11050
Motohashi, Yoichi
1994
A spectral decomposition of the product of four zeta-values. Zbl 0684.10036
Motohashi, Yoichi
1989
Large sieve extensions of the Brun-Titchmarsh theorem. Zbl 0519.10036
Motohashi, Y.
1983
An asymptotic series for an additive divisor problem. Zbl 0411.10021
Motohashi, Yoichi
1980
On Vinogradov’s zero-free region for the Riemann zeta-function. Zbl 0415.10026
Motohashi, Yoichi
1978
A note on the large sieve. II. Zbl 0443.10030
Motohashi, Yoichi
1977
On the Deuring-Heilbronn phenomenon. II. Zbl 0384.10022
Motohashi, Yoichi
1977
On the distribution of prime numbers which are of the form $$"x^ 2 + y^ 2 + 1"$$. II. Zbl 0225.10044
Motohashi, Y.
1971
An extension of the Linnik phenomenon. Zbl 1295.11088
Motohashi, Y.
2013
Spectral theory of the Riemann zeta-function. Paperback reprint of the hardback edition 1997. Zbl 1144.11003
Motohashi, Yoichi
2008
A note on the mean value of the zeta and $$L$$-functions. XV. Zbl 1196.11073
Motohashi, Yoichi
2007
Sums of Kloosterman sums revisited. Zbl 1183.11044
Motohashi, Yoichi
2007
The moments of the Riemann zeta-function. I: The fourth moment off the critical line. Zbl 1196.11116
Ivić, Aleksandar; Motohashi, Yoichi
2006
A multiple sum involving the Möbius function. Zbl 1098.11049
Motohashi, Yoichi
2004
On the remainder term in the Selberg sieve. Zbl 0941.11033
Motohashi, Yoichi
1999
The mean square of Dedekind zeta-functions of quadratic number fields. Zbl 0929.11052
Motohashi, Yoichi
1997
The Riemann zeta-function and the non-Euclidean Laplacian. Zbl 0844.11056
Motohashi, Yoichi
1993
A note on the approximate functional equation for $$\zeta ^ 2(s)$$. III. Zbl 0613.10033
Motohashi, Yoichi
1986
A note on the mean value of the zeta and L-functions. III. Zbl 0592.10037
Motohashi, Yoichi
1986
On the linear sieve. I, II. Zbl 0469.10025
Motohashi, Yoichi
1980
On the theorem of the least prime. Zbl 0415.10038
Motohashi, Yoichi
1977
On Gallagher’s prime number theorem. Zbl 0379.10029
Motohashi, Yoichi
1977
On some improvements of the Brun-Titchmarsh theorem. III. Zbl 0309.10018
Motohashi, Y.
1975
On the number of integers which are sums of two squares. Zbl 0266.10044
Motohashi, Yoichi
1973
On the distribution of the zeros of Dirichlet’s L-functions. Zbl 0249.10036
Motohashi, Yoichi
1972
On sums of Hecke-Maass eigenvalues squared over primes in short intervals. Zbl 1393.11039
Motohashi, Yoichi
2015
An extension of the Linnik phenomenon. Zbl 1295.11088
Motohashi, Y.
2013
A smoothed GPY sieve. Zbl 1278.11090
Motohashi, Yoichi; Pintz, János
2008
An overview of sieve methods and their history. Zbl 1203.11065
Motohashi, Yoichi
2008
Spectral theory of the Riemann zeta-function. Paperback reprint of the hardback edition 1997. Zbl 1144.11003
Motohashi, Yoichi
2008
A note on the mean value of the zeta and $$L$$-functions. XV. Zbl 1196.11073
Motohashi, Yoichi
2007
Sums of Kloosterman sums revisited. Zbl 1183.11044
Motohashi, Yoichi
2007
Small gaps between primes exist. Zbl 1168.11041
Goldston, Daniel Alan; Motohashi, Yoichi; Pintz, János; Yıldırım, Cem Yalçın
2006
Mean values of zeta-functions via representation theory. Zbl 1112.11043
Motohashi, Yoichi
2006
Uniform bounds for Rankin-Selberg $$L$$-functions. Zbl 1142.11031
Jutila, Matti; Motohashi, Yoichi
2006
The moments of the Riemann zeta-function. I: The fourth moment off the critical line. Zbl 1196.11116
Ivić, Aleksandar; Motohashi, Yoichi
2006
Uniform bound for Hecke $$L$$-functions. Zbl 1098.11034
Jutila, Matti; Motohashi, Yoichi
2005
A new approach to the spectral theory of the fourth moment of the Riemann zeta-function. Zbl 1064.11059
Bruggeman, Roelof W.; Motohashi, Yoichi
2005
A note on the mean value of the zeta and $$L$$-functions. XIV. Zbl 1052.11035
Motohashi, Yoichi
2004
A multiple sum involving the Möbius function. Zbl 1098.11049
Motohashi, Yoichi
2004
Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field. Zbl 1068.11057
Bruggeman, Roelof W.; Motohashi, Yoichi
2003
A functional equation for the spectral fourth moment of modular Hecke $$L$$-functions. Zbl 1060.11028
Motohashi, Y.
2003
A note on the mean value of the zeta and $$L$$-functions. XII. Zbl 1106.11305
Motohashi, Yoichi
2002
A note on the mean value of the zeta and $$L$$-functions. XIII. Zbl 1116.11066
Bruggeman, Roelof Wichert; Motohashi, Yoichi
2002
A note on the mean value of the zeta and $$L$$-functions. XI. Zbl 0998.11025
Jutila, Matti Ilmari; Motohashi, Yoichi
2002
A note on the mean value of the zeta and $$L$$-functions. X. Zbl 1049.11124
Bruggeman, Roelof Wichert; Motohashi, Yoichi
2001
New analytic problems over imaginary quadratic number fields. Zbl 0972.11073
Motohashi, Yoichi
2001
An observation on the zero-free region of the Riemann zeta-function. Zbl 0980.11037
Motohashi, Yoichi
2001
The Mellin transform of powers of the zeta-function. Zbl 0960.11039
Ivić, Aleksandar; Jutila, Matti; Motohashi, Yoichi
2000
A note on the mean value of the zeta and $$L$$-functions. IX. Zbl 0942.11039
Motohashi, Yoichi
1999
On the remainder term in the Selberg sieve. Zbl 0941.11033
Motohashi, Yoichi
1999
Spectral theory of the Riemann zeta-function. Zbl 0878.11001
Motohashi, Yoichi
1997
Trace formula over the hyperbolic upper half space. Zbl 0910.11021
Motohashi, Yoichi
1997
The mean square of Dedekind zeta-functions of quadratic number fields. Zbl 0929.11052
Motohashi, Yoichi
1997
The Riemann zeta-function and the Hecke congruence subgroups. Zbl 0937.11033
Motohashi, Yoichi
1996
A trace formula for the Picard group. I. Zbl 0876.11021
Motohashi, Yoichi
1996
On Kuznetsov’s trace formulae. Zbl 0855.11025
Motohashi, Yoichi
1996
On the fourth power moment of the Riemann zeta-function. Zbl 0824.11048
Ivić, Aleksandar; Motohashi, Yoichi
1995
A relation between the Riemann zeta-function and the hyperbolic Laplacian. Zbl 0831.11046
Motohashi, Yoichi
1995
On some estimates involving the binary additive divisor problem. Zbl 0847.11046
Ivić, Aleksandar; Motohashi, Yoichi
1995
On the Kloosterman-sum zeta-function. Zbl 0834.11035
Motohashi, Yoichi
1995
Mean value estimates for exponential sums and $$L$$-functions: A spectral theoretic approach. Zbl 0809.11043
Jutila, Matti; Motohashi, Yoichi
1995
The binary additive divisor problem. Zbl 0819.11038
Motohashi, Yoichi
1994
The mean square of the error term for the fourth power moment of the zeta-function. Zbl 0805.11060
Ivić, Aleksandar; Motohashi, Yoichi
1994
The mean square of Hecke $$L$$-series attached to holomorphic cusp-forms. Zbl 0973.11506
Motohashi, Yōichi
1994
A note on the mean value of the zeta and L-functions. VIII. Zbl 0812.11050
Motohashi, Yoichi
1994
An explicit formula for the fourth power mean of the Riemann zeta- function. Zbl 0784.11042
Motohashi, Yoichi
1993
The Riemann zeta-function and the non-Euclidean Laplacian. Zbl 0844.11056
Motohashi, Yoichi
1993
Spectral mean values of Maass waveform $$L$$-functions. Zbl 0759.11026
Motohashi, Yoichi
1992
The fourth power mean of the Riemann zeta-function. Zbl 0788.11034
Motohashi, Yoichi
1992
A note on the mean value of the zeta and L-functions. VI. Zbl 0699.10055
Motohashi, Yoichi
1989
A spectral decomposition of the product of four zeta-values. Zbl 0684.10036
Motohashi, Yoichi
1989
A note on the mean value of the zeta and L-functions. IV, V. Zbl 0613.10032
Motohashi, Yoichi
1986
A note on the approximate functional equation for $$\zeta ^ 2(s)$$. III. Zbl 0613.10033
Motohashi, Yoichi
1986
A note on the mean value of the zeta and L-functions. III. Zbl 0592.10037
Motohashi, Yoichi
1986
A note on the mean value of the zeta and L-functions. I. Zbl 0573.10027
Motohashi, Yoichi
1985
A note on the mean value of the zeta and L-functions. II. Zbl 0583.10024
Motohashi, Yoichi
1985
Lectures on sieve methods and prime number theory. Zbl 0535.10001
Motohashi, Y.
1983
A note on the approximate functional equation for $$\zeta^ 2(s)$$. I,II. Zbl 0541.10032
Motohashi, Yoichi
1983
Large sieve extensions of the Brun-Titchmarsh theorem. Zbl 0519.10036
Motohashi, Y.
1983
An asymptotic series for an additive divisor problem. Zbl 0416.10034
Motohashi, Yoichi
1980
An asymptotic series for an additive divisor problem. Zbl 0411.10021
Motohashi, Yoichi
1980
On the linear sieve. I, II. Zbl 0469.10025
Motohashi, Yoichi
1980
A note on almost-primes in short intervals. Zbl 0445.10032
Motohashi, Yoichi
1979
A note on Siegel’s zeros. Zbl 0445.10031
Motohashi, Yoichi
1979
Primes in arithmetic progressions. Zbl 0367.10040
Motohashi, Yoichi
1978
On Vinogradov’s zero-free region for the Riemann zeta-function. Zbl 0415.10026
Motohashi, Yoichi
1978
A note on the large sieve. Zbl 0373.10032
Motohashi, Yoichi
1977
On the Deuring-Heilbronn phenomenon. I. Zbl 0384.10021
Motohashi, Yoichi
1977
A note on the large sieve. II. Zbl 0443.10030
Motohashi, Yoichi
1977
On the Deuring-Heilbronn phenomenon. II. Zbl 0384.10022
Motohashi, Yoichi
1977
On the theorem of the least prime. Zbl 0415.10038
Motohashi, Yoichi
1977
On Gallagher’s prime number theorem. Zbl 0379.10029
Motohashi, Yoichi
1977
An induction principle for the generalization of Bombieri’s prime number theorem. Zbl 0355.10035
Motohashi, Yoichi
1976
On some additive divisor problem. Zbl 0328.10033
Motohashi, Y.
1976
On a density theorem of Linnik. Zbl 0361.10037
Motohashi, Yoichi
1976
On almost-primes in arithmetic progressions. Zbl 0317.10053
Motohashi, Y.
1976
On the sum of the Möbius function in a short segment. Zbl 0372.10033
Motohashi, Yoichi
1976
On some additive divisor problems. II. Zbl 0364.10022
Motohashi, Yoichi
1976
On some improvements of the Brun-Titchmarsh theorem. III. Zbl 0309.10018
Motohashi, Y.
1975
On some improvements of the Brun-Titchmarsh theorem. Zbl 0273.10040
Motohashi, Y.
1974
On the distribution of the divisor function in arithmetic progressions. Zbl 0257.10022
Motohashi, Yoichi
1973
On the number of integers which are sums of two squares. Zbl 0266.10044
Motohashi, Yoichi
1973
On the distribution of the zeros of Dirichlet’s L-functions. Zbl 0249.10036
Motohashi, Yoichi
1972
On a mean value theorem for the remainder term in the prime number theorem for short arithmetic progressions. Zbl 0246.10027
Motohashi, Yoichi
1971
On the distribution of prime numbers which are of the form $$"x^ 2 + y^ 2 + 1"$$. II. Zbl 0225.10044
Motohashi, Y.
1971
On the distribution of prime numbers which are of the form $$x^ 2 + y^ 2 + 1$$. Zbl 0205.06801
Motohashi, Y.
1970
A note on the mean value of the Dedekind zeta-function of the quadratic field. Zbl 0198.06902
Motohashi, Y.
1970
An asymptotic formula in the theory of numbers. Zbl 0206.06003
Motohashi, Y.
1970
A note on the least prime in an arithmetic progression with a prime difference. Zbl 0215.35302
Motohashi, Yoichi
1970
A new proof of the limit formula of Kronecker. Zbl 0186.08301
Motohashi, Y.
1968
all top 5

#### Cited by 264 Authors

 40 Motohashi, Yoichi 11 Blomer, Valentin 11 Ivić, Aleksandar P. 9 Katsurada, Masanori 9 Matsumoto, Kohji 8 Frolenkov, Dmitriĭ Andreevich 8 Laurinčikas, Antanas 7 Iwaniec, Henryk 7 Pintz, Janos 7 Qi, Zhi 7 Young, Matthew P. 6 Balkanova, Ol’ga Germanovna 6 Ernvall-Hytönen, Anne-Maria 6 Friedlander, John Benjamin 6 Jutila, Matti Ilmari 6 Khan, Rizwanur 6 Ramaré, Olivier 6 Wu, Jie 5 Fouvry, Etienne 5 Michel, Philippe Gabriel 5 Sarnak, Peter Clive 5 Wolke, Dieter 4 Bruggeman, Roelof Wichert 4 Buttcane, Jack 4 Bykovskiĭ, Viktor Alekseevich 4 Harcos, Gergely 4 Lu, Guangshi 3 Baruch, Ehud Moshe 3 Graham, Sidney W. 3 Humphries, Peter J. 3 Keating, Jonathan P. 3 Kıral, Eren Mehmet 3 Kowalski, Emmanuel 3 Maga, Péter 3 Perelli, Alberto 3 Sankaranarayanan, Ayyadurai 3 Soundararajan, Kannan 3 Sun, Haiwei 3 Turnage-Butterbaugh, Caroline L. 3 Vesalainen, Esa V. 3 Ye, Yangbo 3 Zhai, Wenguang 2 Bary-Soroker, Lior 2 Bettin, Sandro 2 Browning, Timothy Daniel 2 Černigova, Sondra 2 Chai, Jingsong 2 Diaconu, Adrian-Viorel 2 Furutani, Kenro 2 Garrett, Paul Brittingham 2 Ghosh, Amit 2 Goldston, Daniel Alan 2 Hildebrand, Adolf J. 2 Hinz, Jürgen G. 2 Indlekofer, Karl-Heinz 2 Jääsaari, Jesse 2 Kačėnas, Audrius 2 Kaneko, Ikuya 2 Koyama, Shin-ya 2 Lam, Jonathan Wing Chung 2 Liu, Jianya 2 Lou, Miao 2 Matomäki, Kaisa Sofia 2 Maynard, James 2 McKee, Mark 2 Milićević, Djordje 2 Milinovich, Micah B. 2 Pan, Hao 2 Redmond, Don 2 Reznikov, Andre 2 Rodgers, Brad 2 Roditty-Gershon, Edva 2 Rudnick, Zeév 2 Salerno, Saverio 2 Shimomura, Shun 2 Sono, Keiju 2 Sugiyama, Shingo 2 Vehkalahti, Eeva 2 Tao, Terence 2 Templier, Nicolas 2 Timofeev, Nikolaĭ Mikhaĭlovich 2 Tsuzuki, Masao 2 Watt, Nigel 2 Weinstein, Lenard 2 Xi, Ping 2 Yao, Yanjun 2 Yıldırım, Cem Yalçın 2 Zamarys, Saulius 1 Akbary, Amir 1 Andersen, Nickolas 1 Andrade, Julio Cesar 1 Aryan, Farzad 1 Baier, Stephan 1 Baker, Roger C. 1 Banks, William D. 1 Barrett, Owen 1 Bauer, Wolfram 1 Beineke, Jennifer E. 1 Beit-Aharon, Orr 1 Benkoski, Stanley J. ...and 164 more Authors
all top 5

#### Cited in 93 Serials

 34 Journal of Number Theory 33 Proceedings of the Japan Academy. Series A 10 Archiv der Mathematik 10 Mathematische Annalen 10 Mathematika 10 Journal de Théorie des Nombres de Bordeaux 10 International Journal of Number Theory 8 Lithuanian Mathematical Journal 8 Transactions of the American Mathematical Society 7 Acta Arithmetica 7 Mathematische Zeitschrift 7 Monatshefte für Mathematik 6 Advances in Mathematics 6 Geometric and Functional Analysis. GAFA 6 Journal of the European Mathematical Society (JEMS) 5 Israel Journal of Mathematics 5 Functiones et Approximatio. Commentarii Mathematici 5 Inventiones Mathematicae 5 Journal of Functional Analysis 5 The Ramanujan Journal 5 Science China. Mathematics 4 Journal of Mathematical Analysis and Applications 4 Mathematical Notes 4 Mathematics of Computation 4 Acta Mathematica 4 Duke Mathematical Journal 4 Journal of Soviet Mathematics 4 Manuscripta Mathematica 4 Bulletin of the American Mathematical Society. New Series 4 Proceedings of the Steklov Institute of Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal of Geometry and Physics 3 Journal für die Reine und Angewandte Mathematik 3 Memoirs of the American Mathematical Society 3 Proceedings of the American Mathematical Society 3 Acta Mathematica Hungarica 3 Forum Mathematicum 3 Integral Transforms and Special Functions 3 Proceedings of the Japan Academy 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Compositio Mathematica 2 Glasgow Mathematical Journal 2 Journal of Approximation Theory 2 Revista Matemática Iberoamericana 2 Doklady Mathematics 2 Annals of Mathematics. Second Series 2 Journal of the Institute of Mathematics of Jussieu 2 Bulletin of the American Mathematical Society 2 Frontiers of Mathematics in China 2 Algebra & Number Theory 2 Philosophical Transactions A. Royal Society of London 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Mathematische Semesterberichte 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 The Mathematical Intelligencer 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 European Mathematical Society Newsletter 1 Nonlinear Analysis. Modelling and Control 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Chebyshevskiĭ Sbornik 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Mathematics 1 Research in the Mathematical Sciences 1 Journal of Numbers 1 Research in Number Theory
all top 5

#### Cited in 21 Fields

 326 Number theory (11-XX) 10 Topological groups, Lie groups (22-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Quantum theory (81-XX) 6 Special functions (33-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Integral transforms, operational calculus (44-XX) 4 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX)

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