Harold's Papers

(with thanks to MathSciNet)

• Arthur, Paul D. and Stark, Harold M., Simple approximate solutions for tangential, low-thrust trajectories., J. Aerospace Sci., 28, 1961, 897-898.
• Stark, Harold, On complex quadratic fields with class number equal to one, Trans. Amer. Math. Soc., 122, 1966, 112-119.
• Stark, H.M., On the asymptotic density of the k-free integers, Proc. Amer. Math. Soc., 17, 1966, 1211-1214.
• Stark, H.M., There is no tenth complex quadratic field with class-number one, Proc. Nat. Acad. Sci. U.S.A., 57, 1967, 216-221.
• Stark, H.M., On the zeros of Epstein's zeta function, Mathematika, 14, 1967, 47-55.
• Stark, H.M., A complete determination of the complex quadratic fields of class-number one, Michigan Math. J., 14, 1967, 1-27.
• Stark, H.M., L-functions and character sums for quadratic forms. I., Acta. Arith., 14, 1967/1968, 35-50.
• Stark, H.M., A historical note on complex quadratic fields with class-number one, Proc. Amer. Math. Soc., 21, 1969, 254-255.
• Stark, H.M., On the "gap" in a theorem of Heegner, J. Number Theory, 1, 1969, 16-27.
• Stark, H.M., L-functions and character sums for quadratic forms. II., Acta. Arith., 15, 1968/1969, 307-317.
• Stark, H.M., On the problem of unique factorization in complex quadratic fields, 1967 Number Theory, Proc. Sympos. Pure Math, Vol. VII, 41-56, AMS.
• Stark, Harold M., An introduction to number theory, Markham Publishing Co., Chicago, IL, 1970.
• Stark, H.M., The role of modular functions in a class-number problem, J. Number Theory, 1, 1969, 252-260.
• Stark, H.M., Values of L-functions at s=1. I. L-functions for quadratic forms, Advances in Math., 7, 1971, 301-343.
• Stark, H.M., A problem in comparitive prime number theory, Acta. Arith., 18, 1971, 311-320.
• Stark, H.M., A transcendence theorem for class-number problems, Ann. of Math. (2), 94, 1971.
• Baker, A. and Stark, H.M., On a fundamental inequality in number theory, Ann. of Math. (2), 94, 1971, 190-199.
• Stark, H.M., A transcendence theorem for class-number problems II, Ann. of Math. (2), 96, 1972, 174-209.
• Stark, H.M., Recent advances in determining all complex quadratic fields of a given class number, 1969 Number Theory Institute (Proc. Sympos. Pure Math., Vol. XX, SUNY, Stony Brook, 1969), 401-414, AMS, 1971.
• Stark, H.M., On the Riemann hypothesis in hyperelliptic function fields, Analytic Number Theory (Proc. Sympos. Pure Math., Vol. XXIV, St. Louis Univ., 1972), 285-302, AMS, 1973.
• Stark, H.M., An explanation of some exotic continued fractions found by Brillhart, Computers in number theory (Proc. Sci. Res. Council Atlas Sympos. No. 2, Oxford, 1969), 21-35, Academic Press, 1971.
• Stark, H.M., Effective estimates of solutions of some Diophantine equations, Collection of articles dedicated to Carl Ludwig Siegel on the occasion of his seventy-fifth birthday, III, Acta. Arith., 24, 1973, 251-259.
• Stark, H.M., Some effective cases of the Brauer-Siegel theorem, Invent. math., 23, 1974, 135-152.
• Stark, H.M., Class-numbers of complex quadratic fields, Modular functions of one variable, I (Proc. Internat. Summer School, Univ. Antwerp, 1972), 153-174, Lecture Notes in Mathematics, Vol. 320, Springer, 1973.
• Stark, H.M., Further advances in the theory of logarithms, Diophantine approximation and its applications (Proc. Conf., Washington, D.C., 1972), 255-293, Academic Press, 1973.
• Zahlentheorie (German), Tagung des Mathematischen Forschunginstitutes Oberwolfach, 15-21, 1970. Tagungsleiter: Theodor Schneider. Herausgegeben von Martin Barner und Wolfgang Schwarz. Dem Tagunsleiter Theodor Schneider zum 60. Geburtstag gewidmet. Berichte aus dem Mathematischen Forschunginstitut Oberwolfach, Heft 5. Bibliographisches Institut, 1970.
• Stark, H.M., On complex quadratic fields with class number two, Collection of articles dedicated to Derrick Henry Lehmer on the occasion of his seventieth birthday, Math. Comp., 29, 1975, 289-302.
• Stark, H.M., Some recent transcendence results, Seminar on Modern Methods in Number Theory (Inst. Statist. Math., Tokyo, 1971), paper No. 7, Instit. Statist. Math., Tokyo, 1971.
• Stark, H.M., L-functions at s=1. II. Artin L-functions with rational characters, Advances in Math., 17, 1975, no. 1, 60-92.
• Stark, H.M. Recent transcendence results, Proceedings of the 1972 Number Theory Conference (Univ. Colorado, Boulder), 225-227, Univ. Colorado, Boulder, 1972.
• Stark, H.M., Class-number problems in quadratic fields, Actes du Congres International des Mathematicians (Nice 1970), Tome 1, 511-518, Gauthier-Villars, Paris, 1971.
• Stark, H.M., The genus theory of number fields, Comm. Pure Appl. Math., 29, 1976, 805-811.
• Stark, H.M., L-functions at s=1. III. Totally real fields and Hilbert's twelfth problem, Advances in Math., 22, 1976, no. 1, 64-84.
• Stark, H.M., Hilbert's twelfth problem and L-series, Bull. Amer. Math. Soc., 83, 1977, no. 5, 1072-1074.
• Stark, H.M., The analytic theory of algebraic numbers, Bull. Amer. Math. Soc., 81, 1975, no. 6, 961-972.
• Stark, H.M., Class fields and modular forms of weight one, Modular functions of one variable, V (Proc. Second Internat. Conf., Univ. Bonn, 1976), 277-287, Lecture Notes in Math., Vol. 601, Springer.
• Stark, H.M., Class fields for real quadratic fields and L-series at 1, Algebraic number fields: L-functions and Galois properties (Proc. Sympos., Univ. Durham, 1975), 355-375, Academic Press, 1977.
• Serre, J.P. and Stark, H.M., Modular forms of weight 1/2, Modular functions of one variable, VI (Proc. Second Internat. Conf., Univ. Bonn, 1976), 27-67, Lecture Notes in Math., Vol. 627, Springer, 1977.
• Stark, Harold M., An introduction to number theory, MIT Press, 1978.
• Stark, H.M., L-functions at s=1. IV. First derivatives at s=0, Adv. in Math., 35, 1980, no. 3, 197-235.
• Stark, H.M. and Zagier, D., A property of L-functions on the real line, J. Number Theory, 12, 1980, no. 1, 49-52.
• Anderson, Robert J., and Stark, H.M., Oscillation theorems, Analytic number theory (Philadelphia, PA, 1980), 79-106, Lecture Notes in Math., 899, Springer, 1981.
• Stark, H.M., On the transformation formula for the symplectic theta function and applications, J. Fac. Sci. Univ. Tokyo Sect. 1A Math., 29, 1982, no. 1, 1-12.
• Stark, H.M., The Coates-Wiles theorem revisited, Number theory related to Fermat's last theorem (Cambridge, MA, 1981), 349-362, Progr. Math., 26, Birkhauser, 1982.
• Stark, H.M. Values of zeta and L-functions, Abh. Braunschweig. Wiss. Ges., 33, 1982, 71-83.
• Stark, H.M., Derivatives of L-series at s=0, Automorphic forms, representation theory and arithmetic (Bombay, 1979), 261-273, Tata Inst. Fund. Res. Studies in Math., 10, Tata Inst. Fund. Res., 1981.
• Stark, H.M., Fourier coefficients of Maass waveforms, Modular forms (Durham, 1983), 263-269, Ellis Horwood Ser. Math. Appl.: Statist. Oper. Res., Horwood, 1984.
• Stark, H.M., Modular forms and related objects, Number Theory (Montreal, Que., 1985), 421-455, CMS Conf. Proc., 7, AMS, 1987.
• Heilbronn, Hans Arnold, The collected papers of Arnold Heilbronn. With biographical commentaries by J.W.S. Cassels, A. Frohlich, Olga Taussky, John C. Shepherdson, J.H.H. Chalk, M. Deuring, P. Scherk, T.C. Nicholas, P. Du Val, R.A. Rankin, and D.J. Lewis. With commentaries by R.C. Vaughn, W.K. Hayman, H. Stark, B.J. Birch, Chalk, Frohlich, S. Chowla, and R. Foote, Edited by Ernst J. Kani and Robert A. Smith. With a preface by Kani, Canadian Mathematical Society Series of Monographs and Advanced Texts, Wiley, 1988.
• Stark, H.M., On modular forms of weight one from real quadratic fields and theta functions, J. Ramanajun Math. Soc., 3, 1988, no. 1, 63-79.
• Stark, H.M., On the minimal level of modular forms, Analytic number theory (Allerton Park, IL, 1989), 479-491, Progr. Math., 85, Birhauser, 1990.
• Stark, H.M., Dirichlet's class-number formula revisited, A tribute to Emil Grosswald: number theory and related analysis, 571-577, Contemp. Math., 143, AMS, 1993.
• Stark, H.M., Galois theory, algebraic number theory, and zeta functions, From number theory to physics (Les Houches, 1989), 313-393, Springer, 1992.
• Stark, H.M., On the determination of an L-function from one value, Analytic number theory, Vol. 2 (Allerton Park, IL, 1995), Progr. Math., 139, Birkhauser, 1996.
• Medrano, A., Myers, P., Stark, H.M., and Terras, A., Finite analogues of Euclidean space, J. Comput. Appl. Math., 68, 1996, no. 1-2, 221-238.
• Stark, H.M., Counting points on CM elliptic curves, Symposium on Diophantine Problems (Boulder, CO, 1994), Rocky Mountain J. Math., 26, 1996, no. 3, 1115-1138.
• Stark, H.M. and Terras, A.A., Zeta functions of finite graphs and coverings, Adv. Math., 121, 1996, no. 1, 124-165.
• Medrano, A., Myers, P., Stark, H.M., and Terras, A., Finite Euclidean graphs over rings, Proc. Amer. Math. Soc., 126, 1998, no. 3, 701-710.
• Gethner, Ellen and Stark, H.M., Periodic Gaussian moats, Experiment. Math., 6, 1997, no. 4, 289-292.
• Stark, Harold M., Multipath zeta functions of graphs, Emerging applications of number theory (Minneapolis, MN, 1996), 601-615, IMA Vol. Math. Appl., 109, Springer, 1999.
• Granville, Andrew, and Stark, H.M., abc implies no "Siegel zeros" for L-functions of characters with negative discriminant, Invent. math., 139, 2000, no. 3, 509-523.
• Martinez, Maria G., Stark, Harold M., and Terras, Audrey A., Some Ramanujan hypergraphs associated to GL(n,F_q), Proc. Amer. Math. Soc., 129, 2001, no. 6, 1623-1629 (electronic).
• Stark, H.M. and Terras, A. A., Zeta functions of finite graphs and coverings. II, Adv. Math., 154, 2000, no.1, 132-195.
• Stark, H.M. and Terras, A.A., Artin L-functions of graph coverings, Dynamical, spectral, and arithmetic zeta functions (San Antonio, TX, 1999), 181-195, Contemp. Math., 290, AMS, 2001.
• Byeon, Dongho and Stark, H.M., On the finiteness of certain Rabinowitsch polynomials., J. Number Theory, 94, 2002, no. 1, 177-180.
• Byeon, Dongho and Stark, H.M., On the finiteness of certain Rabinowitsch polynomials. II., J. Number Theory, 99, 2003, no. 1, 219-221.