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Soundararajan, Kannan

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Author ID: soundararajan.kannan Recent zbMATH articles by "Soundararajan, Kannan"
Published as: Soundararajan, K.; Soundararajan, Kannan
Homepage: http://math.stanford.edu/~ksound/
External Links: MGP · Wikidata · dblp
Documents Indexed: 101 Publications since 1991
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Serials

7 Annals of Mathematics. Second Series
5 Journal of Number Theory
3 Acta Arithmetica
3 Inventiones Mathematicae
3 Journal für die Reine und Angewandte Mathematik
3 Geometric and Functional Analysis. GAFA
3 The Ramanujan Journal
2 American Mathematical Monthly
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Mathematics of Computation
2 Annales de l’Institut Fourier
2 Duke Mathematical Journal
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Annalen
2 Mathematika
2 Hardy-Ramanujan Journal
2 Journal of the American Mathematical Society
2 IMRN. International Mathematics Research Notices
2 Proceedings of the National Academy of Sciences of the United States of America
2 Bulletin of the American Mathematical Society. New Series
2 Journal of the European Mathematical Society (JEMS)
2 The Quarterly Journal of Mathematics
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Functiones et Approximatio. Commentarii Mathematici
1 The Mathematics Student
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Acta Mathematica Hungarica
1 Forum Mathematicum
1 The Annals of Applied Probability
1 L’Enseignement Mathématique. 2e Série
1 Expositiones Mathematicae
1 Notices of the American Mathematical Society
1 Journal de Théorie des Nombres de Bordeaux
1 The Electronic Journal of Combinatorics
1 Algebra & Number Theory
1 Mathematics Newsletter
1 Annales Mathématiques du Québec
1 Research in the Mathematical Sciences
1 Research in Number Theory
1 Discrete Analysis

Publications by Year

Citations contained in zbMATH

85 Publications have been cited 987 times in 731 Documents Cited by Year
Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\). Zbl 0964.11034
Soundararajan, K.
57
2000
Moments of the Riemann zeta function. Zbl 1251.11058
Soundararajan, Kannan
52
2009
The distribution of values of \(L(1,\chi_d)\). Zbl 1044.11080
Granville, Andrew; Soundararajan, K.
51
2003
Divisibility of class numbers of imaginary quadratic fields. Zbl 1018.11054
Soundararajan, K.
42
2000
Mass equidistribution for Hecke eigenforms. Zbl 1211.11050
Holowinsky, Roman; Soundararajan, Kannan
38
2010
Large character sums: pretentious characters and the Pólya-Vinogradov theorem. Zbl 1210.11090
Granville, Andrew; Soundararajan, K.
35
2007
Extreme values of zeta and \(L\)-functions. Zbl 1186.11049
Soundararajan, K.
29
2008
Lower bounds for moments of \(L\)-functions. Zbl 1159.11317
Rudnick, Z.; Soundararajan, K.
29
2005
Quantum unique ergodicity for \(\text{SL}_2(\mathbb Z)\setminus \mathbb H\). Zbl 1209.58019
Soundararajan, Kannan
28
2010
Large character sums. Zbl 0983.11053
Granville, Andrew; Soundararajan, K.
28
2001
On modular signs. Zbl 1272.11061
Kowalski, E.; Lau, Y.-K.; Soundararajan, K.; Wu, Jie
27
2010
Bounding \(|\zeta (\frac12 +it)|\) on the Riemann hypothesis. Zbl 1238.11078
Chandee, Vorrapan; Soundararajan, K.
23
2011
Omega results for the divisor and circle problems. Zbl 1130.11329
Soundararajan, K.
22
2003
Ramanujan’s ternary quadratic form. Zbl 0930.11022
Ono, Ken; Soundararajan, K.
20
1997
Weak subconvexity for central values of \(L\)-functions. Zbl 1234.11066
Soundararajan, Kannan
19
2010
Small gaps between prime numbers: the work of Goldston-Pintz-Yıldırım. Zbl 1193.11086
Soundararajan, K.
19
2007
Continuous lower bounds for moments of zeta and \(L\)-functions. Zbl 1273.11128
Radziwiłł, Maksym; Soundararajan, Kannan
18
2013
Decay of mean values of multiplicative functions. Zbl 1047.11093
Granville, Andrew; Soundararajan, K.
17
2003
Zeros of Fekete polynomials. Zbl 1007.11053
Conrey, Brian; Granville, Andrew; Poonen, Bjorn; Soundararajan, K.
17
2000
The prime geodesic theorem. Zbl 1276.11084
Soundararajan, K.; Young, Matthew P.
16
2013
Sieving and the Erdős-Kac theorem. Zbl 1145.11071
Granville, Andrew; Soundararajan, K.
16
2007
Conditional bounds for the least quadratic non-residue and related problems. Zbl 1326.11058
Lamzouri, Youness; Li, Xiannan; Soundararajan, Kannan
14
2015
Lower bounds for moments of \(L\)-functions: symplectic and orthogonal examples. Zbl 1120.11039
Rudnick, Z.; Soundararajan, K.
14
2006
Real zeros of quadratic Dirichlet \(L\)-functions. Zbl 1042.11053
Conrey, J. B.; Soundararajan, K.
14
2002
The spectrum of multiplicative functions. Zbl 1036.11042
Granville, Andrew; Soundararajan, K.
14
2001
The second moment of quadratic twists of modular \(L\)-functions. Zbl 1213.11165
Soundararajan, K.; Young, Matthew P.
13
2010
Primes in short intervals. Zbl 1124.11048
Montgomery, Hugh L.; Soundararajan, K.
13
2004
A generalization of the Pólya-Vinogradov inequality. Zbl 1355.11083
Frolenkov, D. A.; Soundararajan, K.
12
2013
Extreme values of \(|\zeta(1+it)|\). Zbl 1131.11055
Granville, Andrew; Soundararajan, K.
12
2006
The horizontal distribution of zeros of \(\zeta'(s)\). Zbl 0957.11037
Soundararajan, K.
12
1998
Mean-values of the Riemann zeta-function. Zbl 0830.11032
Soundararajan, K.
12
1995
The distribution of prime numbers. Zbl 1141.11043
Soundararajan, K.
11
2007
Maximum of the Riemann zeta function on a short interval of the critical line. Zbl 1443.11161
Arguin, Louis-Pierre; Belius, David; Bourgade, Paul; Radziwiłł, Maksym; Soundararajan, Kannan
10
2019
Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075
Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan
10
2016
Critical zeros of Dirichlet \(L\)-functions. Zbl 1357.11070
Conrey, J. Brian; Iwaniec, Henryk; Soundararajan, Kannan
9
2013
The sixth power moment of Dirichlet \(L\)-functions. Zbl 1270.11082
Conrey, J. B.; Iwaniec, H.; Soundararajan, K.
9
2012
Random multiplicative functions in short intervals. Zbl 1248.11056
Chatterjee, Sourav; Soundararajan, Kannan
9
2012
Partial sums of the Möbius function. Zbl 1184.11040
Soundararajan, K.
9
2009
On the distribution of imaginary parts of zeros of the Riemann zeta function. II. Zbl 1160.11042
Ford, Kevin; Soundararajan, Kannan; Zaharescu, Alexandru
9
2009
Benford’s law for the \(3x+1\) function. Zbl 1117.11018
Lagarias, Jeffrey C.; Soundararajan, K.
9
2006
Multiplicative functions in arithmetic progressions. Zbl 1306.11078
Balog, Antal; Granville, Andrew; Soundararajan, Kannan
8
2013
Counting smooth solutions to the equation \(A+B=C\). Zbl 1270.11031
Lagarias, J. C.; Soundararajan, K.
8
2012
Pretentious multiplicative functions and an inequality for the zeta-function. Zbl 1187.11032
Granville, Andrew; Soundararajan, Kannan
8
2008
The fourth moment of Dirichlet \(L\)-functions. Zbl 1208.11102
Soundararajan, K.
8
2007
Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves. Zbl 1396.11098
Radziwiłł, Maksym; Soundararajan, K.
7
2015
A rule of thumb for riffle shuffling. Zbl 1226.60005
Assaf, Sami; Diaconis, Persi; Soundararajan, K.
7
2011
Fixed points for discrete logarithms. Zbl 1260.11004
Levin, Mariana; Pomerance, Carl; Soundararajan, K.
7
2010
An uncertainty principle for arithmetic sequences. Zbl 1139.11040
Granville, Andrew; Soundararajan, K.
7
2007
Upper bounds for \(|L(1,\chi)|\). Zbl 1022.11041
Granville, Andrew; Soundararajan, K.
7
2002
On the distribution of gaps between zeros of the Riemann zeta-function. Zbl 0858.11047
Soundararajan, K.
7
1996
On short sums of trace functions. Zbl 1392.11060
Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe; Raju, Chandra Sekhar; Rivat, Joël; Soundararajan, Kannan
6
2017
Selberg’s central limit theorem for \(\log|\zeta(1/2+it)|\). Zbl 1432.11117
Radziwiłł, Maksym; Soundararajan, Kannan
5
2017
An asymptotic expansion related to the Dickman function. Zbl 1268.11138
Soundararajan, K.
5
2012
The distribution of smooth numbers in arithmetic progressions. Zbl 1186.11057
Soundararajan, Kannan
5
2008
Beyond pair correlation. Zbl 1095.11043
Montgomery, H. L.; Soundararajan, K.
5
2002
A binary additive problem of Erdős and the order of \(2 \bmod {p^2}\). Zbl 0912.11003
Granville, Andrew; Soundararajan, K.
5
1998
Weak subconvexity without a Ramanujan hypothesis. Zbl 1426.11053
Soundararajan, Kannan; Thorner, Jesse
4
2019
Equidistribution of zeros of polynomials. Zbl 1409.42003
Soundararajan, K.
4
2019
Corrigendum to: “Conditional bounds for the least quadratic non-residue and related problems”. Zbl 1385.11061
Lamzouri, Youness; Li, Xiannan; Soundararajan, Kannan
4
2017
The number of imaginary quadratic fields with a given class number. Zbl 1151.11053
Soundararajan, K.
4
2007
An inequality for multiplicative functions. Zbl 0752.11039
Soundararajan, K.
4
1992
Large character sums: Burgess’s theorem and zeros of \(L\)-functions. Zbl 1444.11177
Granville, Andrew; Soundararajan, Kannan
3
2018
Carries, group theory, and additive combinatorics. Zbl 1310.05210
Diaconis, Persi; Shao, Xuancheng; Soundararajan, Kannan
3
2014
Smooth solutions to the \(abc\) equation: the \(xyz\) conjecture. Zbl 1270.11032
Lagarias, Jeffrey C.; Soundararajan, Kannan
3
2011
Negative values of truncations to \(L(1,\chi)\). Zbl 1214.11093
Granville, Andrew; Soundararajan, K.
3
2007
Degree 1 elements of the Selberg class. Zbl 1167.11034
Soundararajan, K.
3
2005
On a conjecture of R. L. Graham. Zbl 0853.11002
Balasubramanian, Ramachandran; Soundararajan, Kannan
3
1996
On the additive completion of squares. II. Zbl 0749.11021
Balasubramanian, R.; Soundararajan, K.
3
1992
A more intuitive proof of a sharp version of Halász’s theorem. Zbl 06912698
Granville, Andrew; Harper, Adam J.; Soundararajan, Kannan
2
2018
Tao’s resolution of the Erdős discrepancy problem. Zbl 1440.11144
Soundararajan, K.
2
2018
The number of nonzero coefficients of modular forms mod \(p\). Zbl 1379.11053
Bellaïche, Joël; Soundararajan, Kannan
2
2015
Two \(S\)-unit equations with many solutions. Zbl 1131.11022
Konyagin, S.; Soundararajan, K.
2
2007
Transition mean values of real characters. Zbl 0999.11047
Conrey, J. B.; Farmer, D. W.; Soundararajan, K.
2
2000
Motivating the multiplicative spectrum. Zbl 0935.11033
Granville, Andrew; Soundararajan, K.
2
1999
The mean square of the product of a Dirichlet \(L\)-function and a Dirichlet polynomial. Zbl 1454.11156
Conrey, Brian; Iwaniec, Henryk; Soundararajan, Kannan
1
2019
Fourier optimization and prime gaps. Zbl 1429.42001
Carneiro, Emanuel; Milinovich, Micah B.; Soundararajan, Kannan
1
2019
A new proof of Halász’s theorem, and its consequences. Zbl 1443.11200
Granville, Andrew; Harper, Adam J.; Soundararajan, K.
1
2019
Nonzero coefficients of half-integral weight modular forms mod \(\ell \). Zbl 07096250
Bellaïche, Joël; Green, Ben; Soundararajan, Kannan
1
2018
The variance of divisor sums in arithmetic progressions. Zbl 1445.11008
Rodgers, Brad; Soundararajan, Kannan
1
2018
The Liouville function in short intervals. Zbl 1373.11072
Soundararajan, Kannan
1
2017
Lower bounds for the variance of sequences in arithmetic progressions: primes and divisor functions. Zbl 1426.11103
Harper, Adam J.; Soundararajan, Kannan
1
2017
Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002
Alladi, Krishnaswami (ed.); Ono, Ken; Soundararajan, K.; Vaughan, R. C.; Warnaar, S. Ole
1
2013
Errata to: The distribution of values of \(L(1,\chi_d)\). Zbl 1188.11039
Granville, A.; Soundararajan, K.
1
2004
Strong multiplicity one for the Selberg class. Zbl 1144.11302
Soundararajan, K.
1
2004
Towards the exact nature of a certain error term. II. Zbl 0757.11028
Adhikari, Sukumar Das; Soundararajan, K.
1
1992
Maximum of the Riemann zeta function on a short interval of the critical line. Zbl 1443.11161
Arguin, Louis-Pierre; Belius, David; Bourgade, Paul; Radziwiłł, Maksym; Soundararajan, Kannan
10
2019
Weak subconvexity without a Ramanujan hypothesis. Zbl 1426.11053
Soundararajan, Kannan; Thorner, Jesse
4
2019
Equidistribution of zeros of polynomials. Zbl 1409.42003
Soundararajan, K.
4
2019
The mean square of the product of a Dirichlet \(L\)-function and a Dirichlet polynomial. Zbl 1454.11156
Conrey, Brian; Iwaniec, Henryk; Soundararajan, Kannan
1
2019
Fourier optimization and prime gaps. Zbl 1429.42001
Carneiro, Emanuel; Milinovich, Micah B.; Soundararajan, Kannan
1
2019
A new proof of Halász’s theorem, and its consequences. Zbl 1443.11200
Granville, Andrew; Harper, Adam J.; Soundararajan, K.
1
2019
Large character sums: Burgess’s theorem and zeros of \(L\)-functions. Zbl 1444.11177
Granville, Andrew; Soundararajan, Kannan
3
2018
A more intuitive proof of a sharp version of Halász’s theorem. Zbl 06912698
Granville, Andrew; Harper, Adam J.; Soundararajan, Kannan
2
2018
Tao’s resolution of the Erdős discrepancy problem. Zbl 1440.11144
Soundararajan, K.
2
2018
Nonzero coefficients of half-integral weight modular forms mod \(\ell \). Zbl 07096250
Bellaïche, Joël; Green, Ben; Soundararajan, Kannan
1
2018
The variance of divisor sums in arithmetic progressions. Zbl 1445.11008
Rodgers, Brad; Soundararajan, Kannan
1
2018
On short sums of trace functions. Zbl 1392.11060
Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe; Raju, Chandra Sekhar; Rivat, Joël; Soundararajan, Kannan
6
2017
Selberg’s central limit theorem for \(\log|\zeta(1/2+it)|\). Zbl 1432.11117
Radziwiłł, Maksym; Soundararajan, Kannan
5
2017
Corrigendum to: “Conditional bounds for the least quadratic non-residue and related problems”. Zbl 1385.11061
Lamzouri, Youness; Li, Xiannan; Soundararajan, Kannan
4
2017
The Liouville function in short intervals. Zbl 1373.11072
Soundararajan, Kannan
1
2017
Lower bounds for the variance of sequences in arithmetic progressions: primes and divisor functions. Zbl 1426.11103
Harper, Adam J.; Soundararajan, Kannan
1
2017
Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075
Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan
10
2016
Conditional bounds for the least quadratic non-residue and related problems. Zbl 1326.11058
Lamzouri, Youness; Li, Xiannan; Soundararajan, Kannan
14
2015
Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves. Zbl 1396.11098
Radziwiłł, Maksym; Soundararajan, K.
7
2015
The number of nonzero coefficients of modular forms mod \(p\). Zbl 1379.11053
Bellaïche, Joël; Soundararajan, Kannan
2
2015
Carries, group theory, and additive combinatorics. Zbl 1310.05210
Diaconis, Persi; Shao, Xuancheng; Soundararajan, Kannan
3
2014
Continuous lower bounds for moments of zeta and \(L\)-functions. Zbl 1273.11128
Radziwiłł, Maksym; Soundararajan, Kannan
18
2013
The prime geodesic theorem. Zbl 1276.11084
Soundararajan, K.; Young, Matthew P.
16
2013
A generalization of the Pólya-Vinogradov inequality. Zbl 1355.11083
Frolenkov, D. A.; Soundararajan, K.
12
2013
Critical zeros of Dirichlet \(L\)-functions. Zbl 1357.11070
Conrey, J. Brian; Iwaniec, Henryk; Soundararajan, Kannan
9
2013
Multiplicative functions in arithmetic progressions. Zbl 1306.11078
Balog, Antal; Granville, Andrew; Soundararajan, Kannan
8
2013
Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002
Alladi, Krishnaswami (ed.); Ono, Ken; Soundararajan, K.; Vaughan, R. C.; Warnaar, S. Ole
1
2013
The sixth power moment of Dirichlet \(L\)-functions. Zbl 1270.11082
Conrey, J. B.; Iwaniec, H.; Soundararajan, K.
9
2012
Random multiplicative functions in short intervals. Zbl 1248.11056
Chatterjee, Sourav; Soundararajan, Kannan
9
2012
Counting smooth solutions to the equation \(A+B=C\). Zbl 1270.11031
Lagarias, J. C.; Soundararajan, K.
8
2012
An asymptotic expansion related to the Dickman function. Zbl 1268.11138
Soundararajan, K.
5
2012
Bounding \(|\zeta (\frac12 +it)|\) on the Riemann hypothesis. Zbl 1238.11078
Chandee, Vorrapan; Soundararajan, K.
23
2011
A rule of thumb for riffle shuffling. Zbl 1226.60005
Assaf, Sami; Diaconis, Persi; Soundararajan, K.
7
2011
Smooth solutions to the \(abc\) equation: the \(xyz\) conjecture. Zbl 1270.11032
Lagarias, Jeffrey C.; Soundararajan, Kannan
3
2011
Mass equidistribution for Hecke eigenforms. Zbl 1211.11050
Holowinsky, Roman; Soundararajan, Kannan
38
2010
Quantum unique ergodicity for \(\text{SL}_2(\mathbb Z)\setminus \mathbb H\). Zbl 1209.58019
Soundararajan, Kannan
28
2010
On modular signs. Zbl 1272.11061
Kowalski, E.; Lau, Y.-K.; Soundararajan, K.; Wu, Jie
27
2010
Weak subconvexity for central values of \(L\)-functions. Zbl 1234.11066
Soundararajan, Kannan
19
2010
The second moment of quadratic twists of modular \(L\)-functions. Zbl 1213.11165
Soundararajan, K.; Young, Matthew P.
13
2010
Fixed points for discrete logarithms. Zbl 1260.11004
Levin, Mariana; Pomerance, Carl; Soundararajan, K.
7
2010
Moments of the Riemann zeta function. Zbl 1251.11058
Soundararajan, Kannan
52
2009
Partial sums of the Möbius function. Zbl 1184.11040
Soundararajan, K.
9
2009
On the distribution of imaginary parts of zeros of the Riemann zeta function. II. Zbl 1160.11042
Ford, Kevin; Soundararajan, Kannan; Zaharescu, Alexandru
9
2009
Extreme values of zeta and \(L\)-functions. Zbl 1186.11049
Soundararajan, K.
29
2008
Pretentious multiplicative functions and an inequality for the zeta-function. Zbl 1187.11032
Granville, Andrew; Soundararajan, Kannan
8
2008
The distribution of smooth numbers in arithmetic progressions. Zbl 1186.11057
Soundararajan, Kannan
5
2008
Large character sums: pretentious characters and the Pólya-Vinogradov theorem. Zbl 1210.11090
Granville, Andrew; Soundararajan, K.
35
2007
Small gaps between prime numbers: the work of Goldston-Pintz-Yıldırım. Zbl 1193.11086
Soundararajan, K.
19
2007
Sieving and the Erdős-Kac theorem. Zbl 1145.11071
Granville, Andrew; Soundararajan, K.
16
2007
The distribution of prime numbers. Zbl 1141.11043
Soundararajan, K.
11
2007
The fourth moment of Dirichlet \(L\)-functions. Zbl 1208.11102
Soundararajan, K.
8
2007
An uncertainty principle for arithmetic sequences. Zbl 1139.11040
Granville, Andrew; Soundararajan, K.
7
2007
The number of imaginary quadratic fields with a given class number. Zbl 1151.11053
Soundararajan, K.
4
2007
Negative values of truncations to \(L(1,\chi)\). Zbl 1214.11093
Granville, Andrew; Soundararajan, K.
3
2007
Two \(S\)-unit equations with many solutions. Zbl 1131.11022
Konyagin, S.; Soundararajan, K.
2
2007
Lower bounds for moments of \(L\)-functions: symplectic and orthogonal examples. Zbl 1120.11039
Rudnick, Z.; Soundararajan, K.
14
2006
Extreme values of \(|\zeta(1+it)|\). Zbl 1131.11055
Granville, Andrew; Soundararajan, K.
12
2006
Benford’s law for the \(3x+1\) function. Zbl 1117.11018
Lagarias, Jeffrey C.; Soundararajan, K.
9
2006
Lower bounds for moments of \(L\)-functions. Zbl 1159.11317
Rudnick, Z.; Soundararajan, K.
29
2005
Degree 1 elements of the Selberg class. Zbl 1167.11034
Soundararajan, K.
3
2005
Primes in short intervals. Zbl 1124.11048
Montgomery, Hugh L.; Soundararajan, K.
13
2004
Errata to: The distribution of values of \(L(1,\chi_d)\). Zbl 1188.11039
Granville, A.; Soundararajan, K.
1
2004
Strong multiplicity one for the Selberg class. Zbl 1144.11302
Soundararajan, K.
1
2004
The distribution of values of \(L(1,\chi_d)\). Zbl 1044.11080
Granville, Andrew; Soundararajan, K.
51
2003
Omega results for the divisor and circle problems. Zbl 1130.11329
Soundararajan, K.
22
2003
Decay of mean values of multiplicative functions. Zbl 1047.11093
Granville, Andrew; Soundararajan, K.
17
2003
Real zeros of quadratic Dirichlet \(L\)-functions. Zbl 1042.11053
Conrey, J. B.; Soundararajan, K.
14
2002
Upper bounds for \(|L(1,\chi)|\). Zbl 1022.11041
Granville, Andrew; Soundararajan, K.
7
2002
Beyond pair correlation. Zbl 1095.11043
Montgomery, H. L.; Soundararajan, K.
5
2002
Large character sums. Zbl 0983.11053
Granville, Andrew; Soundararajan, K.
28
2001
The spectrum of multiplicative functions. Zbl 1036.11042
Granville, Andrew; Soundararajan, K.
14
2001
Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\). Zbl 0964.11034
Soundararajan, K.
57
2000
Divisibility of class numbers of imaginary quadratic fields. Zbl 1018.11054
Soundararajan, K.
42
2000
Zeros of Fekete polynomials. Zbl 1007.11053
Conrey, Brian; Granville, Andrew; Poonen, Bjorn; Soundararajan, K.
17
2000
Transition mean values of real characters. Zbl 0999.11047
Conrey, J. B.; Farmer, D. W.; Soundararajan, K.
2
2000
Motivating the multiplicative spectrum. Zbl 0935.11033
Granville, Andrew; Soundararajan, K.
2
1999
The horizontal distribution of zeros of \(\zeta'(s)\). Zbl 0957.11037
Soundararajan, K.
12
1998
A binary additive problem of Erdős and the order of \(2 \bmod {p^2}\). Zbl 0912.11003
Granville, Andrew; Soundararajan, K.
5
1998
Ramanujan’s ternary quadratic form. Zbl 0930.11022
Ono, Ken; Soundararajan, K.
20
1997
On the distribution of gaps between zeros of the Riemann zeta-function. Zbl 0858.11047
Soundararajan, K.
7
1996
On a conjecture of R. L. Graham. Zbl 0853.11002
Balasubramanian, Ramachandran; Soundararajan, Kannan
3
1996
Mean-values of the Riemann zeta-function. Zbl 0830.11032
Soundararajan, K.
12
1995
An inequality for multiplicative functions. Zbl 0752.11039
Soundararajan, K.
4
1992
On the additive completion of squares. II. Zbl 0749.11021
Balasubramanian, R.; Soundararajan, K.
3
1992
Towards the exact nature of a certain error term. II. Zbl 0757.11028
Adhikari, Sukumar Das; Soundararajan, K.
1
1992
all top 5

Cited by 675 Authors

29 Soundararajan, Kannan
18 Shparlinski, Igor E.
14 Lamzouri, Youness
12 Carneiro, Emanuel
12 Granville, Andrew James
12 Radziwiłł, Maksym
11 Wu, Jie
11 Zaharescu, Alexandru
10 Milinovich, Micah B.
9 Bui, Hung Manh
9 Chandee, Vorrapan
9 Conrey, John Brian
9 Keating, Jonathan P.
9 Lau, Yuk-Kam
8 Banks, William D.
8 Harper, Adam J.
7 Andrade, Julio Cesar
7 Diaconis, Persi Warren
7 Ivić, Aleksandar P.
7 Littmann, Friedrich
7 Lu, Guangshi
7 Michel, Philippe Gabriel
7 Nelson, Paul D.
7 Seip, Kristian
7 Steuding, Jörn
7 Thorner, Jesse
7 Young, Matthew P.
6 Erdélyi, Tamás
6 Khan, Rizwanur
6 Lester, Stephen J.
6 Munsch, Marc
6 Roy, Arindam
6 Sono, Keiju
6 Xiao, Xuanxuan
6 Zhai, Wenguang
5 Blomer, Valentin
5 Bondarenko, Andriy V.
5 Borwein, Peter Benjamin
5 Goldmakher, Leo
5 Gonçalves, Felipe M.
5 Gun, Sanoli
5 Huang, Bingrong
5 Kowalski, Emmanuel
5 Luca, Florian
5 Matomäki, Kaisa Sofia
5 Pollack, Paul
5 Rolen, Larry
5 Saksman, Eero
5 Sawin, William F.
5 Trudgian, Tim
5 Zhao, Liangyi
4 Aistleitner, Christoph
4 Byeon, Dongho
4 Chakraborty, Kalyan
4 Chen, Yonggao
4 Chirre, Andrés
4 David, Chantal
4 Farmer, David W.
4 Florea, Alexandra M.
4 Freiberg, Tristan
4 Gao, Peng
4 Goldston, Daniel Alan
4 Gonek, Steven M.
4 Hough, Bob
4 Iwaniec, Henryk
4 Jung, Junehyuk
4 Kalpokas, Justas
4 Kerr, Bryce
4 Kohnen, Winfried
4 Korolëv, Maksim Aleksandrovich
4 Li, Xiannan
4 Lindenstrauss, Elon
4 Louboutin, Stéphane R.
4 Martin, Greg
4 Milićević, Djordje
4 Miller, Steven J.
4 Molteni, Giuseppe
4 Ng, Nathan C.
4 Park, Peter Seho
4 Pratt, Kyle
4 Robles, Nicolas
4 Sankaranarayanan, Ayyadurai
4 Snaith, Nina Claire
4 Sun, Zhi-Wei
4 Tang, Hengcai
4 Turnage-Butterbaugh, Caroline L.
4 Venkatesh, Akshay
4 Wang, Yingnan
4 Webb, Christian
4 Xu, Zhao
3 Bailey, E. C.
3 Balog, Antal
3 Berger, Arno
3 Bettin, Sandro
3 Bober, Jonathan W.
3 Booker, Andrew R.
3 Bourgade, Paul
3 Brooks, Shimon
3 Christ, Thomas
3 Dąbrowski, Andrzej Bogdan
...and 575 more Authors
all top 5

Cited in 143 Serials

97 Journal of Number Theory
31 International Journal of Number Theory
29 Transactions of the American Mathematical Society
25 Proceedings of the American Mathematical Society
22 Advances in Mathematics
20 Mathematika
20 The Ramanujan Journal
18 Mathematical Proceedings of the Cambridge Philosophical Society
15 Research in the Mathematical Sciences
14 Duke Mathematical Journal
14 Mathematische Annalen
13 Communications in Mathematical Physics
13 Acta Arithmetica
13 Functiones et Approximatio. Commentarii Mathematici
13 Mathematische Zeitschrift
12 Journal of Mathematical Analysis and Applications
12 Annals of Mathematics. Second Series
11 Mathematics of Computation
11 Journal de Théorie des Nombres de Bordeaux
11 Research in Number Theory
10 Compositio Mathematica
10 Experimental Mathematics
10 Algebra & Number Theory
8 Monatshefte für Mathematik
7 Lithuanian Mathematical Journal
7 Archiv der Mathematik
7 Journal of the American Mathematical Society
7 Geometric and Functional Analysis. GAFA
6 Journal d’Analyse Mathématique
6 Inventiones Mathematicae
6 Manuscripta Mathematica
5 Bulletin of the Australian Mathematical Society
5 Israel Journal of Mathematics
5 Forum Mathematicum
5 Bulletin of the American Mathematical Society. New Series
5 Science China. Mathematics
4 Journal of Statistical Physics
4 Annales de l’Institut Fourier
4 Journal für die Reine und Angewandte Mathematik
4 Proceedings of the Japan Academy. Series A
4 Integers
4 Central European Journal of Mathematics
4 Forum of Mathematics, Sigma
3 Rocky Mountain Journal of Mathematics
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Bulletin of the London Mathematical Society
3 Commentarii Mathematici Helvetici
3 Proceedings of the London Mathematical Society. Third Series
3 Advances in Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 Acta Mathematica Hungarica
3 Probability Theory and Related Fields
3 Constructive Approximation
3 The Annals of Applied Probability
3 Indagationes Mathematicae. New Series
3 Finite Fields and their Applications
3 Journal of Inequalities and Applications
3 Journal of the European Mathematical Society (JEMS)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Proceedings of the Steklov Institute of Mathematics
2 Mathematical Notes
2 Mathematische Semesterberichte
2 Czechoslovak Mathematical Journal
2 Illinois Journal of Mathematics
2 Journal of Approximation Theory
2 Journal of the London Mathematical Society. Second Series
2 Memoirs of the American Mathematical Society
2 Michigan Mathematical Journal
2 Revista Matemática Iberoamericana
2 Journal of Theoretical Probability
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Selecta Mathematica. New Series
2 The Journal of Fourier Analysis and Applications
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Acta Mathematica Sinica. English Series
2 The Quarterly Journal of Mathematics
2 Journal of the Australian Mathematical Society
2 Milan Journal of Mathematics
2 S\(\vec{\text{e}}\)MA Journal
2 Forum of Mathematics, Pi
1 American Mathematical Monthly
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Russian Mathematical Surveys
1 Mathematics Magazine
1 The Annals of Probability
1 Canadian Journal of Mathematics
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 European Journal of Combinatorics
...and 43 more Serials
all top 5

Cited in 40 Fields

680 Number theory (11-XX)
40 Probability theory and stochastic processes (60-XX)
32 Global analysis, analysis on manifolds (58-XX)
22 Functions of a complex variable (30-XX)
20 Algebraic geometry (14-XX)
18 Dynamical systems and ergodic theory (37-XX)
16 Combinatorics (05-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
14 Approximations and expansions (41-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Topological groups, Lie groups (22-XX)
9 Partial differential equations (35-XX)
8 Special functions (33-XX)
8 Quantum theory (81-XX)
6 Functional analysis (46-XX)
6 Statistical mechanics, structure of matter (82-XX)
6 Information and communication theory, circuits (94-XX)
5 Measure and integration (28-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Real functions (26-XX)
4 Convex and discrete geometry (52-XX)
4 Statistics (62-XX)
3 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Ordinary differential equations (34-XX)
2 Difference and functional equations (39-XX)
2 Abstract harmonic analysis (43-XX)
2 Operator theory (47-XX)
2 Differential geometry (53-XX)
2 Manifolds and cell complexes (57-XX)
2 Numerical analysis (65-XX)
1 Associative rings and algebras (16-XX)
1 Potential theory (31-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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