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Soundararajan, Kannan

Author ID: soundararajan.kannan Recent zbMATH articles by "Soundararajan, Kannan"
Published as: Soundararajan, K.; Soundararajan, Kannan
Homepage: http://math.stanford.edu/~ksound/
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Serials

7 Annals of Mathematics. Second Series
5 Journal of Number Theory
4 Journal für die Reine und Angewandte Mathematik
3 Acta Arithmetica
3 Duke Mathematical Journal
3 Inventiones Mathematicae
3 Mathematika
3 Geometric and Functional Analysis. GAFA
3 The Ramanujan Journal
3 The Quarterly Journal of Mathematics
2 American Mathematical Monthly
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Mathematics of Computation
2 Annales de l’Institut Fourier
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Annalen
2 Hardy-Ramanujan Journal
2 Journal of the American Mathematical Society
2 IMRN. International Mathematics Research Notices
2 L’Enseignement Mathématique. 2e Série
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)
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Journal d’Analyse Mathématique
1 Advances in 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 Mathematische Zeitschrift
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 Expositiones Mathematicae
1 Notices of the American Mathematical Society
1 Journal de Théorie des Nombres de Bordeaux
1 The Electronic Journal of Combinatorics
1 Oberwolfach Reports
1 Student Mathematical Library
1 Algebra & Number Theory
1 Science China. Mathematics
1 Mathematics Newsletter
1 Annales Mathématiques du Québec
1 Research in the Mathematical Sciences
1 Research in Number Theory
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Discrete Analysis

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 1,786 times in 1,221 Documents Cited by Year
Moments of the Riemann zeta function. Zbl 1251.11058
Soundararajan, Kannan
98
2009
Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\). Zbl 0964.11034
Soundararajan, K.
98
2000
The distribution of values of \(L(1,\chi_d)\). Zbl 1044.11080
Granville, Andrew; Soundararajan, K.
69
2003
Large character sums: pretentious characters and the Pólya-Vinogradov theorem. Zbl 1210.11090
Granville, Andrew; Soundararajan, K.
65
2007
Mass equidistribution for Hecke eigenforms. Zbl 1211.11050
Holowinsky, Roman; Soundararajan, Kannan
59
2010
Extreme values of zeta and \(L\)-functions. Zbl 1186.11049
Soundararajan, K.
57
2008
Divisibility of class numbers of imaginary quadratic fields. Zbl 1018.11054
Soundararajan, K.
55
2000
On modular signs. Zbl 1272.11061
Kowalski, E.; Lau, Y.-K.; Soundararajan, K.; Wu, Jie
50
2010
Large character sums. Zbl 0983.11053
Granville, Andrew; Soundararajan, K.
43
2001
Lower bounds for moments of \(L\)-functions. Zbl 1159.11317
Rudnick, Z.; Soundararajan, K.
42
2005
Quantum unique ergodicity for \(\text{SL}_2(\mathbb Z)\setminus \mathbb H\). Zbl 1209.58019
Soundararajan, Kannan
42
2010
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
40
2019
Bounding \(|\zeta (\frac12 +it)|\) on the Riemann hypothesis. Zbl 1238.11078
Chandee, Vorrapan; Soundararajan, K.
39
2011
The prime geodesic theorem. Zbl 1276.11084
Soundararajan, K.; Young, Matthew P.
37
2013
Conditional bounds for the least quadratic non-residue and related problems. Zbl 1326.11058
Lamzouri, Youness; Li, Xiannan; Soundararajan, Kannan
36
2015
The second moment of quadratic twists of modular \(L\)-functions. Zbl 1213.11165
Soundararajan, K.; Young, Matthew P.
34
2010
Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves. Zbl 1396.11098
Radziwiłł, Maksym; Soundararajan, K.
34
2015
Continuous lower bounds for moments of zeta and \(L\)-functions. Zbl 1273.11128
Radziwiłł, Maksym; Soundararajan, Kannan
29
2013
Extreme values of \(|\zeta(1+it)|\). Zbl 1131.11055
Granville, Andrew; Soundararajan, K.
27
2006
Omega results for the divisor and circle problems. Zbl 1130.11329
Soundararajan, K.
27
2003
Lower bounds for moments of \(L\)-functions: symplectic and orthogonal examples. Zbl 1120.11039
Rudnick, Z.; Soundararajan, K.
26
2006
Ramanujan’s ternary quadratic form. Zbl 0930.11022
Ono, Ken; Soundararajan, K.
26
1997
Primes in short intervals. Zbl 1124.11048
Montgomery, Hugh L.; Soundararajan, K.
26
2004
Sieving and the Erdős-Kac theorem. Zbl 1145.11071
Granville, Andrew; Soundararajan, K.
25
2007
Small gaps between prime numbers: the work of Goldston-Pintz-Yıldırım. Zbl 1193.11086
Soundararajan, K.
24
2007
Decay of mean values of multiplicative functions. Zbl 1047.11093
Granville, Andrew; Soundararajan, K.
24
2003
Weak subconvexity for central values of \(L\)-functions. Zbl 1234.11066
Soundararajan, Kannan
23
2010
Partial sums of the Möbius function. Zbl 1184.11040
Soundararajan, K.
22
2009
Real zeros of quadratic Dirichlet \(L\)-functions. Zbl 1042.11053
Conrey, J. B.; Soundararajan, K.
22
2002
Selberg’s central limit theorem for \(\log|\zeta(1/2+it)|\). Zbl 1432.11117
Radziwiłł, Maksym; Soundararajan, Kannan
20
2017
On short sums of trace functions. (Sur les sommes courtes de fonctions trace.) Zbl 1392.11060
Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe; Raju, Chandra Sekhar; Rivat, Joël; Soundararajan, Kannan
19
2017
Zeros of Fekete polynomials. Zbl 1007.11053
Conrey, Brian; Granville, Andrew; Poonen, Bjorn; Soundararajan, K.
19
2000
A generalization of the Pólya-Vinogradov inequality. Zbl 1355.11083
Frolenkov, D. A.; Soundararajan, K.
19
2013
Fourier optimization and prime gaps. Zbl 1429.42001
Carneiro, Emanuel; Milinovich, Micah B.; Soundararajan, Kannan
18
2019
The fourth moment of Dirichlet \(L\)-functions. Zbl 1208.11102
Soundararajan, K.
17
2007
The distribution of prime numbers. Zbl 1141.11043
Soundararajan, K.
17
2007
Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075
Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan
17
2016
The spectrum of multiplicative functions. Zbl 1036.11042
Granville, Andrew; Soundararajan, K.
17
2001
The sixth power moment of Dirichlet \(L\)-functions. Zbl 1270.11082
Conrey, J. B.; Iwaniec, H.; Soundararajan, K.
16
2012
Random multiplicative functions in short intervals. Zbl 1248.11056
Chatterjee, Sourav; Soundararajan, Kannan
15
2012
Pretentious multiplicative functions and an inequality for the zeta-function. Zbl 1187.11032
Granville, Andrew; Soundararajan, Kannan
14
2008
A new proof of Halász’s theorem, and its consequences. Zbl 1443.11200
Granville, Andrew; Harper, Adam J.; Soundararajan, K.
14
2019
Upper bounds for \(|L(1,\chi)|\). Zbl 1022.11041
Granville, Andrew; Soundararajan, K.
14
2002
Sharp upper bounds for fractional moments of the Riemann zeta function. Zbl 1469.11290
Heap, Winston; Radziwiłł, Maksym; Soundararajan, K.
13
2019
Critical zeros of Dirichlet \(L\)-functions. Zbl 1357.11070
Conrey, J. Brian; Iwaniec, Henryk; Soundararajan, Kannan
13
2013
Nonzero coefficients of half-integral weight modular forms mod \(\ell \). Zbl 1465.11114
Bellaïche, Joël; Green, Ben; Soundararajan, Kannan
13
2018
Lower bounds for moments of zeta and \(L\)-functions revisited. Zbl 1523.11150
Heap, Winston; Soundararajan, K.
13
2022
The horizontal distribution of zeros of \(\zeta'(s)\). Zbl 0957.11037
Soundararajan, K.
13
1998
On the distribution of imaginary parts of zeros of the Riemann zeta function. II. Zbl 1160.11042
Ford, Kevin; Soundararajan, Kannan; Zaharescu, Alexandru
13
2009
Multiplicative functions in arithmetic progressions. Zbl 1306.11078
Balog, Antal; Granville, Andrew; Soundararajan, Kannan
12
2013
Weak subconvexity without a Ramanujan hypothesis. Zbl 1426.11053
Soundararajan, Kannan; Thorner, Jesse
12
2019
Mean-values of the Riemann zeta-function. Zbl 0830.11032
Soundararajan, K.
12
1995
Benford’s law for the \(3x+1\) function. Zbl 1117.11018
Lagarias, Jeffrey C.; Soundararajan, K.
12
2006
A rule of thumb for riffle shuffling. Zbl 1226.60005
Assaf, Sami; Diaconis, Persi; Soundararajan, K.
10
2011
On the distribution of gaps between zeros of the Riemann zeta-function. Zbl 0858.11047
Soundararajan, K.
10
1996
Equidistribution of zeros of polynomials. Zbl 1409.42003
Soundararajan, K.
10
2019
An uncertainty principle for arithmetic sequences. Zbl 1139.11040
Granville, Andrew; Soundararajan, K.
9
2007
Counting smooth solutions to the equation \(A+B=C\). Zbl 1270.11031
Lagarias, J. C.; Soundararajan, K.
9
2012
The distribution of smooth numbers in arithmetic progressions. Zbl 1186.11057
Soundararajan, Kannan
9
2008
Lower bounds for the variance of sequences in arithmetic progressions: primes and divisor functions. Zbl 1426.11103
Harper, Adam J.; Soundararajan, Kannan
9
2017
Corrigendum to: “Conditional bounds for the least quadratic non-residue and related problems”. Zbl 1385.11061
Lamzouri, Youness; Li, Xiannan; Soundararajan, Kannan
9
2017
Transition mean values of real characters. Zbl 0999.11047
Conrey, J. B.; Farmer, D. W.; Soundararajan, K.
9
2000
Fixed points for discrete logarithms. Zbl 1260.11004
Levin, Mariana; Pomerance, Carl; Soundararajan, K.
9
2010
Large character sums: Burgess’s theorem and zeros of \(L\)-functions. Zbl 1444.11177
Granville, Andrew; Soundararajan, Kannan
9
2018
On a conjecture of R. L. Graham. Zbl 0853.11002
Balasubramanian, Ramachandran; Soundararajan, Kannan
9
1996
Beyond pair correlation. Zbl 1095.11043
Montgomery, H. L.; Soundararajan, K.
9
2002
The variance of divisor sums in arithmetic progressions. Zbl 1445.11008
Rodgers, Brad; Soundararajan, Kannan
8
2018
Mean values of multiplicative functions over function fields. Zbl 1394.11069
Granville, Andrew; Harper, Adam J.; Soundararajan, Kannan
7
2015
The number of imaginary quadratic fields with a given class number. Zbl 1151.11053
Soundararajan, K.
6
2007
Smooth solutions to the \(abc\) equation: the \(xyz\) conjecture. Zbl 1270.11032
Lagarias, Jeffrey C.; Soundararajan, Kannan
6
2011
A binary additive problem of Erdős and the order of \(2 \bmod {p^2}\). Zbl 0912.11003
Granville, Andrew; Soundararajan, K.
6
1998
A more intuitive proof of a sharp version of Halász’s theorem. Zbl 1456.11182
Granville, Andrew; Harper, Adam J.; Soundararajan, Kannan
5
2018
An asymptotic expansion related to the Dickman function. Zbl 1268.11138
Soundararajan, K.
5
2012
Equidistribution from the Chinese Remainder Theorem. Zbl 1476.11109
Kowalski, E.; Soundararajan, K.
5
2021
Degree 1 elements of the Selberg class. Zbl 1167.11034
Soundararajan, K.
5
2005
An inequality for multiplicative functions. Zbl 0752.11039
Soundararajan, K.
4
1992
Negative values of truncations to \(L(1,\chi)\). Zbl 1214.11093
Granville, Andrew; Soundararajan, K.
4
2007
On the additive completion of squares. II. Zbl 0749.11021
Balasubramanian, R.; Soundararajan, K.
4
1992
The number of nonzero coefficients of modular forms mod \(p\). Zbl 1379.11053
Bellaïche, Joël; Soundararajan, Kannan
4
2015
Almost all entries in the character table of the symmetric group are multiples of any given prime. Zbl 1514.20043
Peluse, Sarah; Soundararajan, Kannan
4
2022
Strong multiplicity one for the Selberg class. Zbl 1144.11302
Soundararajan, K.
4
2004
Two \(S\)-unit equations with many solutions. Zbl 1131.11022
Konyagin, S.; Soundararajan, K.
3
2007
Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002
Ono, Ken; Soundararajan, K.; Vaughan, R. C.; Warnaar, S. Ole
3
2013
Carries, group theory, and additive combinatorics. Zbl 1310.05210
Diaconis, Persi; Shao, Xuancheng; Soundararajan, Kannan
3
2014
Towards the exact nature of a certain error term. II. Zbl 0757.11028
Adhikari, Sukumar Das; Soundararajan, K.
2
1992
A model problem for multiplicative chaos in number theory. Zbl 1502.11086
Soundararajan, Kannan; Zaman, Asif
2
2022
Integral factorial ratios: irreducible examples with height larger than 1. Zbl 1462.11007
Soundararajan, K.
2
2020
Exponential sums, twisted multiplicativity, and moments. Zbl 1522.11083
Kowalski, E.; Soundararajan, K.
2
2022
Tao’s resolution of the Erdős discrepancy problem. Zbl 1440.11144
Soundararajan, K.
2
2018
Errata to: The distribution of values of \(L(1,\chi_d)\). Zbl 1188.11039
Granville, A.; Soundararajan, K.
2
2004
The mean square of the product of a Dirichlet \(L\)-function and a Dirichlet polynomial. Zbl 1454.11156
Conrey, Brian; Iwaniec, Henryk; Soundararajan, Kannan
2
2019
The Liouville function in short intervals. Zbl 1373.11072
Soundararajan, Kannan
1
2017
The number of unsieved integers up to \(x\). Zbl 1055.11057
Granville, Andrew; Soundararajan, K.
1
2004
Motivating the multiplicative spectrum. Zbl 0935.11033
Granville, Andrew; Soundararajan, K.
1
1999
The structure of multiplicative functions with small partial sums. Zbl 1444.11200
Koukoulopoulos, Dimitris; Soundararajan, K.
1
2020
Riffle shuffles with biased cuts. Zbl 1412.05195
Assaf, Sami; Diaconis, Persi; Soundararajan, Kannan
1
2012
Lower bounds for moments of zeta and \(L\)-functions revisited. Zbl 1523.11150
Heap, Winston; Soundararajan, K.
13
2022
Almost all entries in the character table of the symmetric group are multiples of any given prime. Zbl 1514.20043
Peluse, Sarah; Soundararajan, Kannan
4
2022
A model problem for multiplicative chaos in number theory. Zbl 1502.11086
Soundararajan, Kannan; Zaman, Asif
2
2022
Exponential sums, twisted multiplicativity, and moments. Zbl 1522.11083
Kowalski, E.; Soundararajan, K.
2
2022
Equidistribution from the Chinese Remainder Theorem. Zbl 1476.11109
Kowalski, E.; Soundararajan, K.
5
2021
Integral factorial ratios: irreducible examples with height larger than 1. Zbl 1462.11007
Soundararajan, K.
2
2020
The structure of multiplicative functions with small partial sums. Zbl 1444.11200
Koukoulopoulos, Dimitris; Soundararajan, K.
1
2020
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
40
2019
Fourier optimization and prime gaps. Zbl 1429.42001
Carneiro, Emanuel; Milinovich, Micah B.; Soundararajan, Kannan
18
2019
A new proof of Halász’s theorem, and its consequences. Zbl 1443.11200
Granville, Andrew; Harper, Adam J.; Soundararajan, K.
14
2019
Sharp upper bounds for fractional moments of the Riemann zeta function. Zbl 1469.11290
Heap, Winston; Radziwiłł, Maksym; Soundararajan, K.
13
2019
Weak subconvexity without a Ramanujan hypothesis. Zbl 1426.11053
Soundararajan, Kannan; Thorner, Jesse
12
2019
Equidistribution of zeros of polynomials. Zbl 1409.42003
Soundararajan, K.
10
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
2
2019
Nonzero coefficients of half-integral weight modular forms mod \(\ell \). Zbl 1465.11114
Bellaïche, Joël; Green, Ben; Soundararajan, Kannan
13
2018
Large character sums: Burgess’s theorem and zeros of \(L\)-functions. Zbl 1444.11177
Granville, Andrew; Soundararajan, Kannan
9
2018
The variance of divisor sums in arithmetic progressions. Zbl 1445.11008
Rodgers, Brad; Soundararajan, Kannan
8
2018
A more intuitive proof of a sharp version of Halász’s theorem. Zbl 1456.11182
Granville, Andrew; Harper, Adam J.; Soundararajan, Kannan
5
2018
Tao’s resolution of the Erdős discrepancy problem. Zbl 1440.11144
Soundararajan, K.
2
2018
Selberg’s central limit theorem for \(\log|\zeta(1/2+it)|\). Zbl 1432.11117
Radziwiłł, Maksym; Soundararajan, Kannan
20
2017
On short sums of trace functions. (Sur les sommes courtes de fonctions trace.) Zbl 1392.11060
Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe; Raju, Chandra Sekhar; Rivat, Joël; Soundararajan, Kannan
19
2017
Lower bounds for the variance of sequences in arithmetic progressions: primes and divisor functions. Zbl 1426.11103
Harper, Adam J.; Soundararajan, Kannan
9
2017
Corrigendum to: “Conditional bounds for the least quadratic non-residue and related problems”. Zbl 1385.11061
Lamzouri, Youness; Li, Xiannan; Soundararajan, Kannan
9
2017
The Liouville function in short intervals. Zbl 1373.11072
Soundararajan, Kannan
1
2017
Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075
Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan
17
2016
Conditional bounds for the least quadratic non-residue and related problems. Zbl 1326.11058
Lamzouri, Youness; Li, Xiannan; Soundararajan, Kannan
36
2015
Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves. Zbl 1396.11098
Radziwiłł, Maksym; Soundararajan, K.
34
2015
Mean values of multiplicative functions over function fields. Zbl 1394.11069
Granville, Andrew; Harper, Adam J.; Soundararajan, Kannan
7
2015
The number of nonzero coefficients of modular forms mod \(p\). Zbl 1379.11053
Bellaïche, Joël; Soundararajan, Kannan
4
2015
Carries, group theory, and additive combinatorics. Zbl 1310.05210
Diaconis, Persi; Shao, Xuancheng; Soundararajan, Kannan
3
2014
The prime geodesic theorem. Zbl 1276.11084
Soundararajan, K.; Young, Matthew P.
37
2013
Continuous lower bounds for moments of zeta and \(L\)-functions. Zbl 1273.11128
Radziwiłł, Maksym; Soundararajan, Kannan
29
2013
A generalization of the Pólya-Vinogradov inequality. Zbl 1355.11083
Frolenkov, D. A.; Soundararajan, K.
19
2013
Critical zeros of Dirichlet \(L\)-functions. Zbl 1357.11070
Conrey, J. Brian; Iwaniec, Henryk; Soundararajan, Kannan
13
2013
Multiplicative functions in arithmetic progressions. Zbl 1306.11078
Balog, Antal; Granville, Andrew; Soundararajan, Kannan
12
2013
Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002
Ono, Ken; Soundararajan, K.; Vaughan, R. C.; Warnaar, S. Ole
3
2013
The sixth power moment of Dirichlet \(L\)-functions. Zbl 1270.11082
Conrey, J. B.; Iwaniec, H.; Soundararajan, K.
16
2012
Random multiplicative functions in short intervals. Zbl 1248.11056
Chatterjee, Sourav; Soundararajan, Kannan
15
2012
Counting smooth solutions to the equation \(A+B=C\). Zbl 1270.11031
Lagarias, J. C.; Soundararajan, K.
9
2012
An asymptotic expansion related to the Dickman function. Zbl 1268.11138
Soundararajan, K.
5
2012
Riffle shuffles with biased cuts. Zbl 1412.05195
Assaf, Sami; Diaconis, Persi; Soundararajan, Kannan
1
2012
Bounding \(|\zeta (\frac12 +it)|\) on the Riemann hypothesis. Zbl 1238.11078
Chandee, Vorrapan; Soundararajan, K.
39
2011
A rule of thumb for riffle shuffling. Zbl 1226.60005
Assaf, Sami; Diaconis, Persi; Soundararajan, K.
10
2011
Smooth solutions to the \(abc\) equation: the \(xyz\) conjecture. Zbl 1270.11032
Lagarias, Jeffrey C.; Soundararajan, Kannan
6
2011
Mass equidistribution for Hecke eigenforms. Zbl 1211.11050
Holowinsky, Roman; Soundararajan, Kannan
59
2010
On modular signs. Zbl 1272.11061
Kowalski, E.; Lau, Y.-K.; Soundararajan, K.; Wu, Jie
50
2010
Quantum unique ergodicity for \(\text{SL}_2(\mathbb Z)\setminus \mathbb H\). Zbl 1209.58019
Soundararajan, Kannan
42
2010
The second moment of quadratic twists of modular \(L\)-functions. Zbl 1213.11165
Soundararajan, K.; Young, Matthew P.
34
2010
Weak subconvexity for central values of \(L\)-functions. Zbl 1234.11066
Soundararajan, Kannan
23
2010
Fixed points for discrete logarithms. Zbl 1260.11004
Levin, Mariana; Pomerance, Carl; Soundararajan, K.
9
2010
Moments of the Riemann zeta function. Zbl 1251.11058
Soundararajan, Kannan
98
2009
Partial sums of the Möbius function. Zbl 1184.11040
Soundararajan, K.
22
2009
On the distribution of imaginary parts of zeros of the Riemann zeta function. II. Zbl 1160.11042
Ford, Kevin; Soundararajan, Kannan; Zaharescu, Alexandru
13
2009
Extreme values of zeta and \(L\)-functions. Zbl 1186.11049
Soundararajan, K.
57
2008
Pretentious multiplicative functions and an inequality for the zeta-function. Zbl 1187.11032
Granville, Andrew; Soundararajan, Kannan
14
2008
The distribution of smooth numbers in arithmetic progressions. Zbl 1186.11057
Soundararajan, Kannan
9
2008
Large character sums: pretentious characters and the Pólya-Vinogradov theorem. Zbl 1210.11090
Granville, Andrew; Soundararajan, K.
65
2007
Sieving and the Erdős-Kac theorem. Zbl 1145.11071
Granville, Andrew; Soundararajan, K.
25
2007
Small gaps between prime numbers: the work of Goldston-Pintz-Yıldırım. Zbl 1193.11086
Soundararajan, K.
24
2007
The fourth moment of Dirichlet \(L\)-functions. Zbl 1208.11102
Soundararajan, K.
17
2007
The distribution of prime numbers. Zbl 1141.11043
Soundararajan, K.
17
2007
An uncertainty principle for arithmetic sequences. Zbl 1139.11040
Granville, Andrew; Soundararajan, K.
9
2007
The number of imaginary quadratic fields with a given class number. Zbl 1151.11053
Soundararajan, K.
6
2007
Negative values of truncations to \(L(1,\chi)\). Zbl 1214.11093
Granville, Andrew; Soundararajan, K.
4
2007
Two \(S\)-unit equations with many solutions. Zbl 1131.11022
Konyagin, S.; Soundararajan, K.
3
2007
Extreme values of \(|\zeta(1+it)|\). Zbl 1131.11055
Granville, Andrew; Soundararajan, K.
27
2006
Lower bounds for moments of \(L\)-functions: symplectic and orthogonal examples. Zbl 1120.11039
Rudnick, Z.; Soundararajan, K.
26
2006
Benford’s law for the \(3x+1\) function. Zbl 1117.11018
Lagarias, Jeffrey C.; Soundararajan, K.
12
2006
Lower bounds for moments of \(L\)-functions. Zbl 1159.11317
Rudnick, Z.; Soundararajan, K.
42
2005
Degree 1 elements of the Selberg class. Zbl 1167.11034
Soundararajan, K.
5
2005
Primes in short intervals. Zbl 1124.11048
Montgomery, Hugh L.; Soundararajan, K.
26
2004
Strong multiplicity one for the Selberg class. Zbl 1144.11302
Soundararajan, K.
4
2004
Errata to: The distribution of values of \(L(1,\chi_d)\). Zbl 1188.11039
Granville, A.; Soundararajan, K.
2
2004
The number of unsieved integers up to \(x\). Zbl 1055.11057
Granville, Andrew; Soundararajan, K.
1
2004
The distribution of values of \(L(1,\chi_d)\). Zbl 1044.11080
Granville, Andrew; Soundararajan, K.
69
2003
Omega results for the divisor and circle problems. Zbl 1130.11329
Soundararajan, K.
27
2003
Decay of mean values of multiplicative functions. Zbl 1047.11093
Granville, Andrew; Soundararajan, K.
24
2003
Real zeros of quadratic Dirichlet \(L\)-functions. Zbl 1042.11053
Conrey, J. B.; Soundararajan, K.
22
2002
Upper bounds for \(|L(1,\chi)|\). Zbl 1022.11041
Granville, Andrew; Soundararajan, K.
14
2002
Beyond pair correlation. Zbl 1095.11043
Montgomery, H. L.; Soundararajan, K.
9
2002
Large character sums. Zbl 0983.11053
Granville, Andrew; Soundararajan, K.
43
2001
The spectrum of multiplicative functions. Zbl 1036.11042
Granville, Andrew; Soundararajan, K.
17
2001
Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\). Zbl 0964.11034
Soundararajan, K.
98
2000
Divisibility of class numbers of imaginary quadratic fields. Zbl 1018.11054
Soundararajan, K.
55
2000
Zeros of Fekete polynomials. Zbl 1007.11053
Conrey, Brian; Granville, Andrew; Poonen, Bjorn; Soundararajan, K.
19
2000
Transition mean values of real characters. Zbl 0999.11047
Conrey, J. B.; Farmer, D. W.; Soundararajan, K.
9
2000
Motivating the multiplicative spectrum. Zbl 0935.11033
Granville, Andrew; Soundararajan, K.
1
1999
The horizontal distribution of zeros of \(\zeta'(s)\). Zbl 0957.11037
Soundararajan, K.
13
1998
A binary additive problem of Erdős and the order of \(2 \bmod {p^2}\). Zbl 0912.11003
Granville, Andrew; Soundararajan, K.
6
1998
Ramanujan’s ternary quadratic form. Zbl 0930.11022
Ono, Ken; Soundararajan, K.
26
1997
On the distribution of gaps between zeros of the Riemann zeta-function. Zbl 0858.11047
Soundararajan, K.
10
1996
On a conjecture of R. L. Graham. Zbl 0853.11002
Balasubramanian, Ramachandran; Soundararajan, Kannan
9
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.
4
1992
Towards the exact nature of a certain error term. II. Zbl 0757.11028
Adhikari, Sukumar Das; Soundararajan, K.
2
1992
all top 5

Cited by 1,055 Authors

40 Soundararajan, Kannan
22 Gao, Peng
22 Shparlinski, Igor E.
21 Zhao, Liangyi
20 Granville, Andrew James
17 Carneiro, Emanuel
17 Keating, Jonathan Peter
17 Lamzouri, Youness
16 Radziwiłł, Maksym
15 Milinovich, Micah B.
14 Bui, Hung Manh
14 Kowalski, Emmanuel
14 Wu, Jie
14 Zaharescu, Alexandru
13 Michel, Philippe Gabriel
12 Lau, Yuk-Kam
12 Lu, Guangshi
12 Mangerel, Alexander P.
12 Thorner, Jesse
11 Andrade, Julio Cesar
11 Chandee, Vorrapan
11 Chirre, Andrés
10 Banks, William David
10 Florea, Alexandra M.
10 Lester, Stephen J.
10 Sawin, William F.
10 Seip, Kristian
10 Young, Matthew P.
9 Balkanova, Ol’ga Germanovna
9 Blomer, Valentin
9 Conrey, John Brian
9 Frolenkov, Dmitriĭ Andreevich
9 Goldston, Daniel Alan
9 Heap, Winston P.
9 Munsch, Marc
9 Steuding, Jörn
8 Chakraborty, Kalyan
8 Erdélyi, Tamás
8 Gun, Sanoli
8 Harper, Adam J.
8 Khan, Rizwanur
8 Matomäki, Kaisa
8 Pollack, Paul
8 Sono, Keiju
8 Xiao, Xuanxuan
8 Zaman, Asif
7 Aymone, Marco
7 David, Chantal
7 Diaconis, Persi Warren
7 Drappeau, Sary
7 Gonçalves, Felipe M.
7 Huang, Bingrong
7 Ivić, Aleksandar
7 Klurman, Oleksiy
7 Littmann, Friedrich
7 Luca, Florian
7 Mahatab, Kamalakshya
7 Nelson, Paul D.
7 Rodgers, Brad
7 Tao, Terence
7 Wu, Xiaosheng
6 Bailey, Emma C.
6 Bondarenko, Andriy V.
6 de la Bretèche, Régis
6 Fiorilli, Daniel
6 Jiang, Yujiao
6 Louboutin, Stéphane R.
6 Milićević, Djordje
6 Miller, Steven J.
6 Ng, Nathan C.
6 Ono, Ken
6 Pratt, Kyle
6 Rolen, Larry
6 Roy, Arindam
6 Tang, Hengcai
6 Teräväinen, Joni
6 Turnage-Butterbaugh, Caroline L.
6 Zhai, Wenguang
5 Arguin, Louis-Pierre
5 Avdispahić, Muharem
5 Borwein, Peter Benjamin
5 Ge, Fan
5 Goldmakher, Leo
5 Hamieh, Alia
5 Hoque, Azizul
5 Humphries, Peter J.
5 Jung, Hwanyup
5 Kohnen, Winfried
5 Korolëv, Maksim Aleksandrovich
5 Kurlberg, Pär
5 Lee, Yoonbok
5 Li, Xiannan
5 Lumley, Allysa
5 Martin, Greg
5 Molteni, Giuseppe
5 Pierce, Lillian B.
5 Roditty-Gershon, Edva
5 Saksman, Eero
5 Sankaranarayanan, Ayyadurai
5 Sofos, Efthymios
...and 955 more Authors
all top 5

Cited in 197 Serials

140 Journal of Number Theory
49 Mathematika
48 International Journal of Number Theory
47 The Ramanujan Journal
42 Transactions of the American Mathematical Society
34 Proceedings of the American Mathematical Society
31 Acta Arithmetica
28 Advances in Mathematics
27 Mathematische Zeitschrift
26 Mathematical Proceedings of the Cambridge Philosophical Society
22 Algebra & Number Theory
21 Mathematische Annalen
20 Research in the Mathematical Sciences
19 Research in Number Theory
18 Communications in Mathematical Physics
18 Journal of Mathematical Analysis and Applications
18 Functiones et Approximatio. Commentarii Mathematici
16 Mathematics of Computation
16 Duke Mathematical Journal
14 Experimental Mathematics
14 Annals of Mathematics. Second Series
13 Journal de Théorie des Nombres de Bordeaux
12 Lithuanian Mathematical Journal
12 Compositio Mathematica
12 Monatshefte für Mathematik
11 Bulletin of the London Mathematical Society
10 Journal of the London Mathematical Society. Second Series
10 Forum Mathematicum
9 Bulletin of the Australian Mathematical Society
9 Inventiones Mathematicae
9 Journal für die Reine und Angewandte Mathematik
9 Geometric and Functional Analysis. GAFA
9 Science China. Mathematics
9 Forum of Mathematics, Sigma
8 Journal d’Analyse Mathématique
8 Archiv der Mathematik
8 Finite Fields and their Applications
8 Journal of the European Mathematical Society (JEMS)
8 Integers
7 Canadian Mathematical Bulletin
7 Manuscripta Mathematica
7 Journal of the American Mathematical Society
6 Annales de l’Institut Fourier
6 Proceedings of the London Mathematical Society. Third Series
6 Bulletin of the American Mathematical Society. New Series
6 Indagationes Mathematicae. New Series
5 Israel Journal of Mathematics
5 Rocky Mountain Journal of Mathematics
5 The Annals of Probability
5 Memoirs of the American Mathematical Society
5 Advances in Applied Mathematics
5 Acta Mathematica Hungarica
5 The Annals of Applied Probability
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Journal of Statistical Physics
4 Czechoslovak Mathematical Journal
4 Proceedings of the Japan Academy. Series A
4 Revista Matemática Iberoamericana
4 Acta Mathematica Sinica. English Series
4 Journal of the Australian Mathematical Society
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Central European Journal of Mathematics
4 Journal of the Institute of Mathematics of Jussieu
4 Proceedings of the Steklov Institute of Mathematics
4 Journal of Physics A: Mathematical and Theoretical
4 Discrete Analysis
3 Indian Journal of Pure & Applied Mathematics
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Commentarii Mathematici Helvetici
3 Results in Mathematics
3 Bulletin of the Korean Mathematical Society
3 Chinese Annals of Mathematics. Series B
3 Probability Theory and Related Fields
3 Constructive Approximation
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Selecta Mathematica. New Series
3 Journal of Inequalities and Applications
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Mediterranean Journal of Mathematics
3 Oberwolfach Reports
3 ALEA. Latin American Journal of Probability and Mathematical Statistics
3 Forum of Mathematics, Pi
3 Journal of Mathematics
2 Mathematical Notes
2 Mathematische Semesterberichte
2 American Journal of Mathematics
2 Canadian Journal of Mathematics
2 Glasgow Mathematical Journal
2 Illinois Journal of Mathematics
2 Journal of Approximation Theory
2 Journal of Functional Analysis
2 Michigan Mathematical Journal
2 Pacific Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Journal of Theoretical Probability
2 Journal of the Ramanujan Mathematical Society
2 The Journal of Geometric Analysis
2 Stochastic Processes and their Applications
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
...and 97 more Serials
all top 5

Cited in 48 Fields

1,133 Number theory (11-XX)
93 Probability theory and stochastic processes (60-XX)
47 Global analysis, analysis on manifolds (58-XX)
40 Algebraic geometry (14-XX)
36 Combinatorics (05-XX)
35 Functions of a complex variable (30-XX)
33 Dynamical systems and ergodic theory (37-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
20 Approximations and expansions (41-XX)
19 Quantum theory (81-XX)
14 Special functions (33-XX)
14 Partial differential equations (35-XX)
11 Topological groups, Lie groups (22-XX)
11 Statistical mechanics, structure of matter (82-XX)
8 Functional analysis (46-XX)
8 Information and communication theory, circuits (94-XX)
7 Field theory and polynomials (12-XX)
7 Group theory and generalizations (20-XX)
6 Measure and integration (28-XX)
6 Statistics (62-XX)
5 History and biography (01-XX)
5 Real functions (26-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Ordinary differential equations (34-XX)
5 Convex and discrete geometry (52-XX)
4 General and overarching topics; collections (00-XX)
3 Mathematical logic and foundations (03-XX)
3 Commutative algebra (13-XX)
3 Sequences, series, summability (40-XX)
3 Differential geometry (53-XX)
3 Numerical analysis (65-XX)
2 Associative rings and algebras (16-XX)
2 Potential theory (31-XX)
2 Difference and functional equations (39-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Operator theory (47-XX)
2 Manifolds and cell complexes (57-XX)
2 Computer science (68-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Fluid mechanics (76-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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