Edit Profile Jutila, Matti Ilmari Compute Distance To: Compute Author ID: jutila.matti-ilmari Published as: Jutila, M.; Jutila, Matti; Jutila, Matti Ilmari External Links: MGP · Wikidata · GND Documents Indexed: 90 Publications since 1968, including 2 Books Reviewing Activity: 270 Reviews all top 5 Co-Authors 77 single-authored 5 Motohashi, Yoichi 3 Ivić, Aleksandar P. 2 Huxley, Martin N. 1 Iwaniec, Henryk 1 Metsänkylä, Tauno 1 Motohasi, Yoichi 1 Murthy, M. Pavaman 1 Patterson, Samuel James 1 Soundararajan, Kannan 1 Srinivas, Kotyada 1 Vaidya, Prabhakar G. 1 Waldschmidt, Michel all top 5 Serials 8 Acta Arithmetica 5 Arkiv för Matematik 4 Arkhimedes 4 Journal of Number Theory 4 Proceedings of the Steklov Institute of Mathematics 4 Annales Academiae Scientiarum Fennicae. Series A I 3 Hardy-Ramanujan Journal 2 Bulletin of the London Mathematical Society 2 Functiones et Approximatio. Commentarii Mathematici 2 The Journal of the Indian Mathematical Society. New Series 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 Mathematika 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Annales Universitatis Turkuensis. Ser. A I 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Acta Mathematica 1 Archiv der Mathematik 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 The Ramanujan Journal 1 Oberwolfach Reports 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Mathematics Newsletter all top 5 Fields 88 Number theory (11-XX) 3 History and biography (01-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 62 Publications have been cited 532 times in 362 Documents Cited by ▼ Year ▼ Lectures on a method in the theory of exponential sums. Zbl 0671.10031Jutila, M. 63 1987 Uniform bound for Hecke \(L\)-functions. Zbl 1098.11034Jutila, Matti; Motohashi, Yoichi 38 2005 On the mean value of L(1/2,chi) for real characters. Zbl 0485.10029Jutila, M. 38 1981 On Linnik’s constant. Zbl 0363.10026Jutila, Matti 29 1977 On the divisor problem for short intervals. Zbl 0536.10032Jutila, Matti 23 1984 Riemann’s zeta-function and the divisor problem. Zbl 0513.10040Jutila, Matti 20 1983 Zero-density estimates for L-functions. Zbl 0307.10045Jutila, Matti 18 1977 On exponential sums involving the Ramanujan function. Zbl 0658.10043Jutila, M. 17 1987 The additive divisor problem and its analogs for Fourier coefficients of cusp forms. I. Zbl 0865.11062Jutila, Matti 13 1996 Transformations of exponential sums. Zbl 0794.11033Jutila, M. 13 1992 Transformation formulae for Dirichlet polynomials. Zbl 0533.10034Jutila, Matti 13 1984 Primes in short intervals. Zbl 0408.10029Iwaniec, Henryk; Jutila, Matti 13 1979 On character sums and class numbers. Zbl 0257.10015Jutila, Matti 12 1973 Mean values of Dirichlet series via Laplace transforms. Zbl 0905.11037Jutila, Matti 11 1997 On numbers with a large prime factor. II. Zbl 0335.10045Jutila, Matti 11 1975 Convolutions of Fourier coefficients of cusp forms. Zbl 1006.11019Jutila, M. 10 1999 A variant of the circle method. Zbl 0937.11048Jutila, M. 9 1997 On exponential sums involving the divisor function. Zbl 0542.10032Jutila, M. 9 1985 A statistical density theorem for \(L\)-functions with applications. Zbl 0185.10901Jutila, Matti 9 1969 The Mellin transform of the square of Riemann’s zeta-function. Zbl 1012.11082Jutila, Matti 8 2001 The fourth moment of central values of Hecke series. Zbl 0972.11041Jutila, Matti 8 2001 On spectral large sieve inequalities. Zbl 1007.11027Jutila, Matti 8 2000 Riemann’s zeta-function and the divisor problem. II. Zbl 0785.11045Jutila, Matti 8 1993 The additive divisor problem and exponential sums. Zbl 0792.11037Jutila, M. 8 1993 Atkinson’s formula for Hardy’s function. Zbl 1232.11083Jutila, Matti 7 2009 Large values of Dirichlet polynomials. IV. Zbl 0352.10019Huxley, M. N.; Jutila, M. 7 1977 Distribution of rational numbers in short intervals. Zbl 1195.11097Jutila, Matti 6 2007 On the moments of Hecke series at central points. II. Zbl 1138.11325Ivić, Aleksandar; Jutila, Matti 6 2003 Atkinson’s formula revisited. Zbl 0948.11032Jutila, Matti 6 1998 On the value distribution of the zeta-function on the critical line. Zbl 0493.10043Jutila, M. 6 1983 On mean values of Dirichlet polynomials with real characters. Zbl 0261.10028Jutila, Matti 6 1975 An asymptotic formula for the primitive of Hardy’s function. Zbl 1241.11100Jutila, Matti 5 2011 The Mellin transform of powers of the zeta-function. Zbl 0960.11039Ivić, Aleksandar; Jutila, Matti; Motohashi, Yoichi 5 2000 The additive divisor problem and its analogs for Fourier coefficients of cusp forms. II. Zbl 0919.11059Jutila, Matti 5 1997 On numbers with a large prime factor. Zbl 0293.10023Jutila, Matti 5 1974 Uniform bounds for Rankin-Selberg \(L\)-functions. Zbl 1142.11031Jutila, Matti; Motohashi, Yoichi 4 2006 The spectral mean square of Hecke \(L\)-functions on the critical line. Zbl 1098.11033Jutila, M. 4 2004 On the approximate functional equation for \(\zeta^2(s)\) and other Dirichlet series. Zbl 0589.10042Jutila, M. 4 1986 Zeros of the zeta-function near the critical line. Zbl 0517.10043Jutila, M. 4 1983 The Mellin transform of the fourth power of Riemann’s zeta-function. Zbl 1195.11109Jutila, Matti 3 2005 Gaps between the zeros of Epstein’s zeta-functions of the critical line. Zbl 1166.11313Jutila, M.; Srinivas, K. 3 2005 The twelfth moment of central values of Hecke series. Zbl 1073.11034Jutila, Matti 3 2004 A note on the mean value of the zeta and \(L\)-functions. XI. Zbl 0998.11025Jutila, Matti Ilmari; Motohashi, Yoichi 3 2002 Mean value estimates for exponential sums and \(L\)-functions: A spectral theoretic approach. Zbl 0809.11043Jutila, Matti; Motohashi, Yoichi 3 1995 The fourth power moment of the Riemann zeta-function over a short interval. Zbl 0701.11027Jutila, M. 3 1990 On a formula of Atkinson. Zbl 0549.10029Jutila, M. 3 1984 On a density theorem of H. L. Montgomery for L-functions. Zbl 0243.10033Jutila, Matti 3 1972 Convolutions of Fourier coefficients of cusp forms and the circle method. Zbl 1131.11065Jutila, M. 2 2007 Sums of the additive divisor problem type and the inner product method. Zbl 1085.11046Jutila, M. 2 2005 Mean value estimates for exponential sums with applications to L-functions. Zbl 0718.11038Jutila, Matti 2 1991 A new estimate for Linnik’s constant. Zbl 0203.35404Jutila, Matti 2 1970 The mean value of Hardy’s function in short intervals. Zbl 1343.11074Jutila, Matti 1 2015 Transformations of zeta-sums. Zbl 1303.11094Jutila, Matti 1 2012 The correspondence between a Dirichlet series and its coefficients. Zbl 0930.11061Jutila, Matti 1 1997 Exponential sums connected with quadratic forms. Zbl 0697.10036Jutila, M. 1 1990 Mean value estimates for exponential sums. II. Zbl 0674.10033Jutila, M. 1 1990 Mean value estimates for exponential sums. Zbl 0674.10032Jutila, M. 1 1989 Remarks on the approximate functional equation for \(\zeta ^ 2(s)\). Zbl 0627.10027Jutila, Matti 1 1987 Statistical Deuring-Heilbronn phenomenon. Zbl 0357.10021Jutila, Matti 1 1980 On large values of Dirichlet polynomials. Zbl 0333.10023Jutila, M. 1 1976 On mean values of \(L\)-functions and short character sums with real characters. Zbl 0268.10024Jutila, Matti 1 1975 On the least Goldbach’s number in an arithmetical progression with a prime difference. Zbl 0162.34501Jutila, Matti 1 1968 The mean value of Hardy’s function in short intervals. Zbl 1343.11074Jutila, Matti 1 2015 Transformations of zeta-sums. Zbl 1303.11094Jutila, Matti 1 2012 An asymptotic formula for the primitive of Hardy’s function. Zbl 1241.11100Jutila, Matti 5 2011 Atkinson’s formula for Hardy’s function. Zbl 1232.11083Jutila, Matti 7 2009 Distribution of rational numbers in short intervals. Zbl 1195.11097Jutila, Matti 6 2007 Convolutions of Fourier coefficients of cusp forms and the circle method. Zbl 1131.11065Jutila, M. 2 2007 Uniform bounds for Rankin-Selberg \(L\)-functions. Zbl 1142.11031Jutila, Matti; Motohashi, Yoichi 4 2006 Uniform bound for Hecke \(L\)-functions. Zbl 1098.11034Jutila, Matti; Motohashi, Yoichi 38 2005 The Mellin transform of the fourth power of Riemann’s zeta-function. Zbl 1195.11109Jutila, Matti 3 2005 Gaps between the zeros of Epstein’s zeta-functions of the critical line. Zbl 1166.11313Jutila, M.; Srinivas, K. 3 2005 Sums of the additive divisor problem type and the inner product method. Zbl 1085.11046Jutila, M. 2 2005 The spectral mean square of Hecke \(L\)-functions on the critical line. Zbl 1098.11033Jutila, M. 4 2004 The twelfth moment of central values of Hecke series. Zbl 1073.11034Jutila, Matti 3 2004 On the moments of Hecke series at central points. II. Zbl 1138.11325Ivić, Aleksandar; Jutila, Matti 6 2003 A note on the mean value of the zeta and \(L\)-functions. XI. Zbl 0998.11025Jutila, Matti Ilmari; Motohashi, Yoichi 3 2002 The Mellin transform of the square of Riemann’s zeta-function. Zbl 1012.11082Jutila, Matti 8 2001 The fourth moment of central values of Hecke series. Zbl 0972.11041Jutila, Matti 8 2001 On spectral large sieve inequalities. Zbl 1007.11027Jutila, Matti 8 2000 The Mellin transform of powers of the zeta-function. Zbl 0960.11039Ivić, Aleksandar; Jutila, Matti; Motohashi, Yoichi 5 2000 Convolutions of Fourier coefficients of cusp forms. Zbl 1006.11019Jutila, M. 10 1999 Atkinson’s formula revisited. Zbl 0948.11032Jutila, Matti 6 1998 Mean values of Dirichlet series via Laplace transforms. Zbl 0905.11037Jutila, Matti 11 1997 A variant of the circle method. Zbl 0937.11048Jutila, M. 9 1997 The additive divisor problem and its analogs for Fourier coefficients of cusp forms. II. Zbl 0919.11059Jutila, Matti 5 1997 The correspondence between a Dirichlet series and its coefficients. Zbl 0930.11061Jutila, Matti 1 1997 The additive divisor problem and its analogs for Fourier coefficients of cusp forms. I. Zbl 0865.11062Jutila, Matti 13 1996 Mean value estimates for exponential sums and \(L\)-functions: A spectral theoretic approach. Zbl 0809.11043Jutila, Matti; Motohashi, Yoichi 3 1995 Riemann’s zeta-function and the divisor problem. II. Zbl 0785.11045Jutila, Matti 8 1993 The additive divisor problem and exponential sums. Zbl 0792.11037Jutila, M. 8 1993 Transformations of exponential sums. Zbl 0794.11033Jutila, M. 13 1992 Mean value estimates for exponential sums with applications to L-functions. Zbl 0718.11038Jutila, Matti 2 1991 The fourth power moment of the Riemann zeta-function over a short interval. Zbl 0701.11027Jutila, M. 3 1990 Exponential sums connected with quadratic forms. Zbl 0697.10036Jutila, M. 1 1990 Mean value estimates for exponential sums. II. Zbl 0674.10033Jutila, M. 1 1990 Mean value estimates for exponential sums. Zbl 0674.10032Jutila, M. 1 1989 Lectures on a method in the theory of exponential sums. Zbl 0671.10031Jutila, M. 63 1987 On exponential sums involving the Ramanujan function. Zbl 0658.10043Jutila, M. 17 1987 Remarks on the approximate functional equation for \(\zeta ^ 2(s)\). Zbl 0627.10027Jutila, Matti 1 1987 On the approximate functional equation for \(\zeta^2(s)\) and other Dirichlet series. Zbl 0589.10042Jutila, M. 4 1986 On exponential sums involving the divisor function. Zbl 0542.10032Jutila, M. 9 1985 On the divisor problem for short intervals. Zbl 0536.10032Jutila, Matti 23 1984 Transformation formulae for Dirichlet polynomials. Zbl 0533.10034Jutila, Matti 13 1984 On a formula of Atkinson. Zbl 0549.10029Jutila, M. 3 1984 Riemann’s zeta-function and the divisor problem. Zbl 0513.10040Jutila, Matti 20 1983 On the value distribution of the zeta-function on the critical line. Zbl 0493.10043Jutila, M. 6 1983 Zeros of the zeta-function near the critical line. Zbl 0517.10043Jutila, M. 4 1983 On the mean value of L(1/2,chi) for real characters. Zbl 0485.10029Jutila, M. 38 1981 Statistical Deuring-Heilbronn phenomenon. Zbl 0357.10021Jutila, Matti 1 1980 Primes in short intervals. Zbl 0408.10029Iwaniec, Henryk; Jutila, Matti 13 1979 On Linnik’s constant. Zbl 0363.10026Jutila, Matti 29 1977 Zero-density estimates for L-functions. Zbl 0307.10045Jutila, Matti 18 1977 Large values of Dirichlet polynomials. IV. Zbl 0352.10019Huxley, M. N.; Jutila, M. 7 1977 On large values of Dirichlet polynomials. Zbl 0333.10023Jutila, M. 1 1976 On numbers with a large prime factor. II. Zbl 0335.10045Jutila, Matti 11 1975 On mean values of Dirichlet polynomials with real characters. Zbl 0261.10028Jutila, Matti 6 1975 On mean values of \(L\)-functions and short character sums with real characters. Zbl 0268.10024Jutila, Matti 1 1975 On numbers with a large prime factor. Zbl 0293.10023Jutila, Matti 5 1974 On character sums and class numbers. Zbl 0257.10015Jutila, Matti 12 1973 On a density theorem of H. L. Montgomery for L-functions. Zbl 0243.10033Jutila, Matti 3 1972 A new estimate for Linnik’s constant. Zbl 0203.35404Jutila, Matti 2 1970 A statistical density theorem for \(L\)-functions with applications. Zbl 0185.10901Jutila, Matti 9 1969 On the least Goldbach’s number in an arithmetical progression with a prime difference. Zbl 0162.34501Jutila, Matti 1 1968 all cited Publications top 5 cited Publications all top 5 Cited by 296 Authors 21 Ivić, Aleksandar P. 19 Jutila, Matti Ilmari 17 Motohashi, Yoichi 14 Laurinčikas, Antanas 13 Lu, Guangshi 9 Blomer, Valentin 8 Fomenko, Oleg Mstislavovich 8 Zhao, Liangyi 7 Ernvall-Hytönen, Anne-Maria 7 Zhai, Wenguang 6 Iwaniec, Henryk 6 Pintz, Janos 6 Tsang, Kai-Man 6 Young, Matthew P. 5 Andrade, Julio C. 5 Gao, Peng 5 Harcos, Gergely 5 Lau, Yuk-Kam 5 Munshi, Ritabrata 5 Perelli, Alberto 5 Stankus, Eugenijus 5 Vesalainen, Esa V. 4 Jääsaari, Jesse 4 Jung, Hwanyup 4 Khan, Rizwanur 4 Michel, Philippe Gabriel 4 Sun, Haiwei 4 Tanigawa, Yoshio 3 Bump, Daniel 3 Florea, Alexandra M. 3 Friedlander, John Benjamin 3 Jiang, Yujiao 3 Jo, Sihun 3 Kaczorowski, Jerzy 3 Liu, Jianya 3 Ng, Nathan C. 3 Ren, Xiumin 3 Sander, Jürgen W. 3 Sarnak, Peter Clive 3 Shparlinski, Igor E. 3 Sun, Qingfeng 3 Wang, Tianze 3 Xi, Ping 3 Ye, Yangbo 2 Bae, Sunghan 2 Baker, Roger C. 2 Balkanova, Ol’ga Germanovna 2 Bazzanella, Danilo 2 Beineke, Jennifer E. 2 Bourgain, Jean 2 Bui, Hung Manh 2 Buttcane, Jack 2 Cai, Yingchun 2 Cao, Xiaodong 2 Černigova, Sondra 2 Conrey, John Brian 2 Diaconu, Adrian-Viorel 2 Duke, William Drexel 2 Frolenkov, Dmitriĭ Andreevich 2 Ghosh, Amit 2 Harman, Glyn 2 Heath-Brown, David Roger 2 Hoffstein, Jeffrey 2 Humphries, Peter J. 2 Huynh, Duc Khiem 2 Jia, Chaohua 2 Kadiri, Habiba 2 Keating, Jonathan P. 2 Kim, Henry H. 2 Lam, Jonathan Wing Chung 2 Lao, Huixue 2 Lee, Yoonbok 2 Lester, Stephen J. 2 Liu, Ming-Chit 2 Matomäki, Kaisa Sofia 2 Matsumoto, Kohji 2 McKee, Mark 2 Miller, Steven J. 2 Minamide, Makoto 2 Nagoshi, Hirofumi 2 Popov, Dmitrii A. 2 Ramachandra, Kanakanahalli 2 Rezvyakova, Irina S. 2 Roy, Arindam 2 Salerno, Saverio 2 Sankaranarayanan, Ayyadurai 2 Shorey, Tarlok Nath 2 Singh, Saurabh Kumar 2 Södergren, Anders 2 Soundararajan, Kannan 2 Sugiyama, Shingo 2 Vehkalahti, Eeva 2 Tenenbaum, Gérald 2 Thorner, Jesse 2 Wang, Dan 2 Wu, Jie 2 Yao, Yanjun 2 Zaman, Asif 2 Zhang, Deyu 1 Abdalkhani, Javad ...and 196 more Authors all top 5 Cited in 90 Serials 54 Journal of Number Theory 14 The Ramanujan Journal 13 Lithuanian Mathematical Journal 10 Inventiones Mathematicae 10 Proceedings of the Japan Academy. Series A 9 International Journal of Number Theory 8 Advances in Mathematics 8 Functiones et Approximatio. Commentarii Mathematici 8 Mathematische Annalen 8 Transactions of the American Mathematical Society 8 Acta Mathematica Hungarica 8 Geometric and Functional Analysis. GAFA 7 Monatshefte für Mathematik 7 Journal de Théorie des Nombres de Bordeaux 6 Journal of Mathematical Analysis and Applications 6 Acta Arithmetica 6 Archiv der Mathematik 6 Mathematische Zeitschrift 6 Acta Mathematica Sinica. New Series 6 Journal of Mathematical Sciences (New York) 6 Acta Mathematica Sinica. English Series 5 Arkiv för Matematik 5 Central European Journal of Mathematics 5 Proceedings of the Steklov Institute of Mathematics 4 Israel Journal of Mathematics 4 Mathematical Notes 4 Duke Mathematical Journal 4 Proceedings of the American Mathematical Society 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Journal of the European Mathematical Society (JEMS) 4 Frontiers of Mathematics in China 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Soviet Mathematics 3 Manuscripta Mathematica 3 Mathematika 3 Forum Mathematicum 3 Bulletin of the American Mathematical Society. New Series 3 Indagationes Mathematicae. New Series 3 Integral Transforms and Special Functions 3 Annals of Mathematics. Second Series 3 Proceedings of the Japan Academy 3 Science China. Mathematics 3 Research in Number Theory 2 Communications in Mathematical Physics 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Acta Applicandae Mathematicae 2 Science in China. Series A 2 St. Petersburg Mathematical Journal 2 Doklady Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Chebyshevskiĭ Sbornik 2 Algebra & Number Theory 2 Acta Mathematica Universitatis Ostraviensis 2 East Asian Mathematical Journal 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Publications Mathématiques 1 Memoirs of the American Mathematical Society 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Information and Computation 1 Journal of the American Mathematical Society 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Experimental Mathematics 1 Finite Fields and their Applications 1 Izvestiya: Mathematics 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Integers 1 Nonlinear Analysis. Modelling and Control 1 Journal of the Australian Mathematical Society 1 Milan Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Japanese Journal of Mathematics. 3rd Series 1 Moscow Journal of Combinatorics and Number Theory 1 Research in the Mathematical Sciences 1 European Journal of Mathematics 1 Journal of Numbers all top 5 Cited in 27 Fields 353 Number theory (11-XX) 7 Integral transforms, operational calculus (44-XX) 7 Probability theory and stochastic processes (60-XX) 6 Quantum theory (81-XX) 5 Special functions (33-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Algebraic geometry (14-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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