Yoichi Motohashi

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All published works

Action	Title	Year	Authors
+ PDF	On an identity of Ramanujan	2019	Yoichi Motohashi
+ PDF	On an identity of Ramanujan	2019	Yoichi Motohashi
+ PDF Chat	On sums of Hecke-Maass eigenvalues squared over primes in short intervals	2015	Yoichi Motohashi
+	On Cornacchia's Algorithm	2015	Yoichi Motohashi
+	The twin prime conjecture	2014	Yoichi Motohashi
+	The twin prime conjecture	2014	Yoichi Motohashi
+	New analytic problems over imaginary quadratic number fields	2013	Yoichi Motohashi
+	On the irreducibility of basic automorphic representations	2013	Yoichi Motohashi
+ PDF Chat	An extension of the Linnik phenomenon	2013	Yoichi Motohashi
+	An Extension of the Linnik Phenomenon	2012	Yoichi Motohashi
+	Spectral Analysis of the Zeta and L-Functions	2012	Yoichi Motohashi
+ PDF	An Extension of the Linnik Phenomenon	2012	Yoichi Motohashi Yoichi Motohashi
+	On Some Improvements of the Brun-Titchmarsh Theorem. IV	2012	Yoichi Motohashi
+	An extension of the Linnik phenomenon. II	2012	Yoichi Motohashi
+	Elements of Automorphic Representations	2011	Yoichi Motohashi
+	Elements of Automorphic Representations	2011	Yoichi Motohashi
+	TALK SUMMARY : 1. The Riemann Zeta-Function and Hecke Congruence Subgroups : 2. Three problems of Atle Selberg, 1917-2007 (Analytic Number Theory and Related Areas)	2009	Yoichi Motohashi
+	The Riemann Zeta-Function and Hecke Congruence Subgroups. II	2009	Yoichi Motohashi
+ PDF Chat	A smoothed GPY sieve	2008	Yoichi Motohashi J. Pintz
+	Spectral Theory of the Riemann Zeta-Function: Chapter 6: Appendix	2008	Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions. XV	2007	Yoichi Motohashi
+	A note on the mean value of the zeta and L-functions (15)	2007	Yoichi Motohashi
+	The Riemann Zeta-Function and Hecke Congruence Subgroups. II	2007	Yoichi Motohashi
+	A note on the mean value of the zeta and L-functions. XV	2007	Yoichi Motohashi
+	Sums of Kloosterman Sums Revisited	2006	Yoichi Motohashi
+ PDF	Small gaps between primes exist	2006	D. A. Goldston Yoichi Motohashi J. Pintz C. Y. Yıldırım
+	Mean Values of Zeta-Functions via Representation Theory	2006	Yoichi Motohashi
+ PDF	The Moments of the Riemann Zeta-Function Part I: The fourth moment off the critical line	2006	Aleksandar Ivić Yoichi Motohashi
+ PDF Chat	Mean values of zeta-functions via representation theory	2006	Yoichi Motohashi
+	Uniform bounds for Rankin-Selberg 𝐿-functions	2006	Matti Jutila Yoichi Motohashi
+	Theory of the Riemann Zeta and Allied Functions	2005	M. N. Huxley Matti Jutila Yoichi Motohashi S. J. Patterson
+ PDF	A new approach to the spectral theory of the fourth moment of the Riemann zeta-function	2005	Roelof W. Bruggeman Yoichi Motohashi
+	An Overview of the Sieve Method and its History	2005	Yoichi Motohashi
+	Prime numbers -- your gems	2005	Yoichi Motohashi
+ PDF	Uniform bound for Hecke L-functions	2005	Matti Jutila Yoichi Motohashi
+	Small Gaps between Primes Exist	2005	D. A. Goldston Yoichi Motohashi J. Pintz C. Y. Yıldırım
+	Uniform Bound for Hecke L-Functions	2005	Matti Jutila Yoichi Motohashi
+	A Vista of Mean Zeta-Values (II) (Analytic Number Theory and Surrounding Areas)	2004	Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions. XIV	2004	Yoichi Motohashi
+	A note on the mean value of the zeta and L-functions(14)	2004	Yoichi Motohashi
+ PDF	A multiple sum involving the Mobius function	2004	Yoichi Motohashi
+	The moments of the Riemann zeta-function. Part I: The fourth moment off the critical line	2004	Aleksandar Ivić Yoichi Motohashi
+	A note on the mean value of the zeta and L-functions. XIV	2004	Yoichi Motohashi
+	A Vista of Mean Zeta-Values (Diophantine Problems and Analytic Number Theory)	2003	Yoichi Motohashi
+	A Functional Equation for the Spectral Fourth Moment of Modular Hecke L-Functions	2003	Yoichi Motohashi
+	A New Approach to the Spectral Theory of the Fourth Moment of the Riemann Zeta-Function	2003	Roelof W. Bruggeman Yoichi Motohashi
+	A multiple sum involving the Moebius function	2003	Yoichi Motohashi
+	Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field	2003	Roelof W. Bruggeman Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions. XIII	2002	Roelof W. Bruggeman Yoichi Motohashi
+	A note on the mean value of the zeta and L-functions(13)	2002	Roelof W. Bruggeman Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions. XII	2002	Yoichi Motohashi
+	A note on the mean value of the zeta and L-functions(12)	2002	Yoichi Motohashi
+	Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field	2002	Roelof W. Bruggeman Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions. XI	2002	Matti Jutila Yoichi Motohashi
+	A note on the mean value of the zeta and L-functions(11)	2002	Matti Jutila Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions. X	2001	Roelof W. Bruggeman Yoichi Motohashi
+	A note on the mean value of the zeta and L-functions(10)	2001	Roelof W. Bruggeman Yoichi Motohashi
+	Distribution of Primes (Analytic Number Theory : Expectations for the 21st Century)	2001	Yoichi Motohashi
+	Fourth power moment of Dedekind zeta-functions of real quadratic number fields with class number one	2001	Roelof W. Bruggeman Yoichi Motohashi
+ PDF	The Mellin transform of powers of the zeta-function	2000	Aleksandar Ivić Matti Jutila Yoichi Motohashi
+	On the remainder term in the Selberg sieve	1999	Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions. IX	1999	Yoichi Motohashi
+	A note on the mean value of the zeta and L-functions(9)	1999	Yoichi Motohashi
+	Trace Formula over the Hyperbolic Upper Half Space	1997	Yoichi Motohashi
+	Analytic Number Theory	1997	Yoichi Motohashi Yoichi Motohashi Enrico Bombieri Enrico Bombieri Enrico Bombieri Jörg Brüdern Jan‐Hendrik Evertse John Friedlander Andrew Granville Adolf Hildebrand
+	Automorphic <i>L</i>-functions	1997	Yoichi Motohashi
+	Spectral Theory of the Riemann Zeta-Function	1997	Yoichi Motohashi
+	The Mean Square of Dedekind Zeta-Functions of Quadratic Number Fields	1997	Yoichi Motohashi
+	An Asymptotic Expansion of the Square of the Riemann Zeta-Function	1997	Yoichi Motohashi
+	The Riemann Zeta-Function and the Hecke Congruence Subgroups(Analytic Number Theory)	1996	Yoichi Motohashi
+ PDF	A trace formula for the Picard group, I	1996	Yoichi Motohashi
+	On the Fourth Power Moment of the Riemann Zeta-Function	1995	A. Ivić Yoichi Motohashi
+	Mean value estimates for exponential sums and L-functions: a spectral theoretic approach.	1995	Matti Jutila Yoichi Motohashi
+	A relation between the Riemann zeta-function and the hyperbolic laplacian	1995	Yoichi Motohashi
+ PDF	On the Kloosterman-sum zeta-function	1995	Yoichi Motohashi
+	ON SOME ESTIMATES INVOLVING THE BINARY ADDITIVE DIVISOR PROBLEM	1995	Aleksandar Ivić Yoichi Motohashi
+	The Mean Square of the Error Term for the Fourth Power Moment of the Zeta-Function	1994	Aleksandar Ivić Yoichi Motohashi
+	The mean square of Hecke $L$-series attached to holomorphic cusp-forms(Analytic Number Theory)	1994	Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions, VIII	1994	Yoichi Motohashi
+ PDF	The binary additive divisor problem	1994	Yoichi Motohashi
+	On the mean square of the product of the zeta-and $L$-functions	1993	Yoichi Motohashi
+ PDF	An explicit formula for the fourth power mean of the Riemann zeta-function	1993	Yoichi Motohashi
+	Spectral mean values of Maass waveform L-functions	1992	Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions, VII	1990	Aleksandar Ivić Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions, VI	1989	Yoichi Motohashi
+ PDF	A spectral decomposition of the product of four zeta-values	1989	Yoichi Motohashi
+ PDF	Zeros of $L\left( {s,\chi } \right)$ in short segments on the critical line	1988	Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions, V	1986	Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions, IV	1986	Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions, III	1986	Yoichi Motohashi
+ PDF	A note on the approximate functional equation for $\zeta ^2 \left( S \right)$, III	1986	Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions, II	1985	Yoichi Motohashi
+ PDF	A note on the mean value of the zeta and $L$-functions, I	1985	Yoichi Motohashi
+	Lectures on Sieve Methods and Prime Number Theory	1983	Yoichi Motohashi
+ PDF	A note on the approximate functional equation for $\zeta ^2 \left( s \right)$, II	1983	Yoichi Motohashi
+ PDF	A note on the approximate functional equation for $\zeta ^2 \left( s \right)$	1983	Yoichi Motohashi
+	Large sieve extensions of the Brun-Titchmarsh theorem	1983	Yoichi Motohashi
+	An asymptotic series for an additive divisor problem	1980	Yoichi Motohashi
+ PDF	On the linear sieve, I	1980	Yoichi Motohashi
+ PDF	On the linear sieve, II	1980	Yoichi Motohashi
+ PDF	A note on the large sieve, IV	1980	Yoichi Motohashi
+ PDF	A note on Siegel's zeros	1979	Yoichi Motohashi
+ PDF	A note on the large sieve, III	1979	Yoichi Motohashi
+	Primes in arithmetic progressions	1978	Yoichi Motohashi
+ PDF	On Vinogradov's zero-free region for the Riemann zeta-function	1978	Yoichi Motohashi
+ PDF	On the zero-free region of Dirichlet's $L$-functions	1978	Yoichi Motohashi
+ PDF	A note on the large sieve, II	1977	Yoichi Motohashi
+ PDF	On Gallagher's prime number theorem	1977	Yoichi Motohashi
+ PDF	On the Deuring-Heilbronn phenomenon, II	1977	Yoichi Motohashi
+ PDF	On the Deuring-Heilbronn phenomenon, I	1977	Yoichi Motohashi
+ PDF	A note on the large sieve	1977	Yoichi Motohashi
+ PDF	On some additive divisor problems	1976	Yoichi Motohashi
+ PDF	On almost-primes in arithmetic progressions	1976	Yoichi Motohashi
+ PDF	On some additive divisor problems, II	1976	Yoichi Motohashi
+ PDF	On almost-primes in arithmetic progressions, III	1976	Yoichi Motohashi
+ PDF	On the sum of the Möbius function in a short segment	1976	Yoichi Motohashi
+ PDF	An induction principle for the generalization of Bombieri's prime number theorem	1976	Yoichi Motohashi
+ PDF	On some improvements of the Brun-Titchmarsh theorem, III	1975	Yoichi Motohashi
+ PDF	On a density theorem of Linnik	1975	Yoichi Motohashi
+ PDF	On a Density Theorem of Linntik	1975	Yoichi Motohashi
+ PDF	On almost primes in arithmetic progressions, II	1975	Yoichi Motohashi
+ PDF	On some improvements of the Brun-Titchmarsh theorem	1974	Yoichi Motohashi
+ PDF	On the representations of an integer as a sum of two squares and a product of four factors	1973	Yoichi Motohashi
+ PDF	On the distribution of the divisor function in arithmetic progressions	1973	Yoichi Motohashi
+ PDF	On the number of integers which are sums of two squares	1973	Yoichi Motohashi
+ PDF	On the distribution of the zeros of Dirichlet's L-functions	1972	Yoichi Motohashi
+	On the distribution of prime numbers which are of the form “x2+y2+1”	1971	Yoichi Motohashi
+ PDF	On a mean value theorem for the remainder term in the prime number theorem for short arithmetic progressions	1971	Yoichi Motohashi
+ PDF	On a Mean Value Theorem for the Remainder Term in the Prime Number Theorem for Short Arithmetic Progressions	1971	Yoichi Motohashi
+	A note on the mean value of the Dedekind zeta-function of the quadratic field	1970	Yoichi Motohashi
+ PDF	An asymptotic formula in the theory of numbers	1970	Yoichi Motohashi
+ PDF	On the distribution of prime numbers which are of the form $x^2 + y^2 +1$	1970	Yoichi Motohashi
+ PDF	A note on the least prime in an arithmetic progression with a prime difference	1970	Yoichi Motohashi
+ PDF	On the sum of the number of divisors in a short segment	1970	Yoichi Motohashi
+ PDF	On a property of $p - 1$	1969	Yoichi Motohashi
+ PDF	A new proof of the limit formula of Kronecker	1968	Yoichi Motohashi

Common Coauthors

Coauthor	Papers Together
Matti Jutila	9
Roelof W. Bruggeman	9
Aleksandar Ivić	7
J. Pintz	3
C. Y. Yıldırım	2
D. A. Goldston	2
M. N. Huxley	2
John Friedlander	1
Trevor D. Wooley	1
Hiroshi Mikawa	1
Eiji Yoshida	1
Kai-Yam Lam	1
Makoto Nagata	1
S. J. Patterson	1
Peter Sarnak	1
Ming-Chit Liu	1
A. Ivić	1
Carlo Viola	1
Jan‐Hendrik Evertse	1
Noriko Hirata-Kohno	1
T. N. Shorey	1
Andrew Granville	1
M. Ram Murty	1
Adolf Hildebrand	1
V. Kumar Murty	1
Enrico Bombieri	1
Jörg Brüdern	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	A note on the mean value of the zeta and $L$-functions, I	1985	Yoichi Motohashi	20
+	Spectral Theory of the Riemann Zeta-Function	1997	Yoichi Motohashi	17
+ PDF	The mean-value of the Riemann zeta function	1949	F. V. Atkinson	15
+ PDF	A new approach to the spectral theory of the fourth moment of the Riemann zeta-function	2005	Roelof W. Bruggeman Yoichi Motohashi	14
+ PDF	An explicit formula for the fourth power mean of the Riemann zeta-function	1993	Yoichi Motohashi	14
+	Mean Values of Dirichlet Series via Laplace Transforms	1997	Matti Jutila	10
+ PDF	The binary additive divisor problem	1994	Yoichi Motohashi	10
+ PDF	On some improvements of the Brun-Titchmarsh theorem	1974	Yoichi Motohashi	10
+	On the large sieve	1965	Enrico Bombieri	8
+	Primes in arithmetic progressions	1978	Yoichi Motohashi	8
+ PDF	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery	8
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	8
+	Representation of Lie Groups and Special Functions	1992	N. Ja. Vilenkin A. U. Klimyk	7
+	A relation between the Riemann zeta-function and the hyperbolic laplacian	1995	Yoichi Motohashi	7
+ PDF	A note on the mean value of the zeta and $L$-functions, VII	1990	Aleksandar Ivić Yoichi Motohashi	6
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	6
+	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery	6
+ PDF	The large sieve	1973	Hugh L. Montgomery R. C. Vaughan	6
+	The Riemann Zeta-Function	1992	A. A. Karatsuba Сергей Воронин	6
+	Kuznetsov formulas for real rank one groups	1990	Roberto J. Miatello Nolan R. Wallach	6
+	Fourier coefficients of cusp forms and the Riemann zeta-function	1980	Henryk Iwaniec	5
+ PDF	Automorphic Forms on GL (2)	1970	H. Jacquet R. P. Langlands	5
+	Sieves in Number Theory	2001	G. N. Greaves	5
+	Representation theory and automorphic functions	1969	М. И. Граев Ilya Piatetski-Shapiro I. M. Gel'fand K. A. Hirsch	5
+ PDF	A note on the mean value of the zeta and $L$-functions, VI	1989	Yoichi Motohashi	5
+	Whittaker vectors and conical vectors	1980	Roe Goodman Nolan R. Wallach	5
+	Le grand crible dans la théorie analytique des nombres	1974	Enrico Bombieri	5
+	On the Error Term for the Fourth Moment of the Riemann Zeta-Function	1999	Aleksandar Ivić	5
+	Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field	2003	Roelof W. Bruggeman Yoichi Motohashi	5
+	Special Functions and the Theory of Group Representations	1968	N. I︠a︡. Vilenkin	5
+	Spectral mean values of Maass waveform L-functions	1992	Yoichi Motohashi	5
+ PDF	Mean‐values of the Riemann zeta‐function	1995	K. Soundararajan	4
+ PDF Chat	A smoothed GPY sieve	2008	Yoichi Motohashi J. Pintz	4
+	The Riemann Zeta-Function: Theory and Applications	2003	Aleksandar Ivić	4
+	PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS	1981	N V Kuznecov	4
+	The Mean Square of Dedekind Zeta-Functions of Quadratic Number Fields	1997	Yoichi Motohashi	4
+	On the Fourth Power Moment of the Riemann Zeta-Function	1995	A. Ivić Yoichi Motohashi	4
+ PDF	A note on the mean value of the zeta and $L$-functions. XIV	2004	Yoichi Motohashi	4
+ PDF	On Linnik's constant.	1977	Matti Jutila	4
+ PDF	On a density theorem of Linnik	1975	Yoichi Motohashi	4
+	Convolution of the Fourier coefficients of the Eisenstein-Maass series	1985	Н. В. Кузнецов	4
+ PDF	A note on the large sieve	1977	Yoichi Motohashi	4
+ PDF	On the representation of a number as the sum of two squares and a prime	1957	C. Hooley	4
+	Fourth power moment of Dedekind zeta-functions of real quadratic number fields with class number one	2001	Roelof W. Bruggeman Yoichi Motohashi	4
+ PDF	A note on the mean value of the zeta and $L$-functions. XII	2002	Yoichi Motohashi	4
+	Heegner points, cycles and Maass forms	1993	Svetlana Katok Peter Sarnak	4
+ PDF	On the linear sieve, I	1980	Yoichi Motohashi	3
+ PDF	Automorphic Forms on Semisimple Lie Groups	1968	Harish-chandra Harish-Chandra	3
+ PDF	A note on the mean value of the zeta and $L$-functions. X	2001	Roelof W. Bruggeman Yoichi Motohashi	3
+	ON THE REPRESENTATION OF A LARGER EVEN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF AT MOST TWO PRIMES	1973	Chen Jing-Run	3