i've always objected against the terminology of integral points on elliptic curves. One can speak of rational points, as they are kept intact under birational transformations. One should therefore speak of integral solutions to elliptic equations or something like that. A hyperelliptic diophantine equation related to imaginary quadratic number fields with class number 2.

Journal f r die reine und angewandte mathematik, 1992 eric weisstein's mathworld has a page on the ochoa curve. On the diophantine equations x 2 +74 y 5 and x 2 +86 y 5. With maurice mignotte , glasgow mathematical journal, 1996 on a quartic diophantine equation. With roel stroeker , proceedings of the edinburgh mathematical society, 1996 210 14 x 15 5 x 6 x 7 21 ₂ 10 ₄ . With kos pint r , publicationes mathematicae debrecen, 1997 this one could equally well have been in the next section we just wanted to see if the journal editors would accept a title without a single letter from the alphabet in there.

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Journal de th orie des nombres de bordeaux, 1997 on the fourth powerfree part of x 2 +2. Glasgow mathematical journal, 1998 solving elliptic diophantine equations avoiding thue equations and elliptic logarithms. Experimental mathematics, 1998 solving elliptic diophantine equations: the general cubic case. With roel stroeker , acta arithmetica, 19 on integral zeroes of binary krawtchouk polynomials. With roel stroeker , nieuw archief voor wiskunde, 19 reprinted in: development of the mathematical ideas of mykhailo kravchuk krawtchouk , 2004 some diophantine equations from finite group theory: phi _m x 2 p n 1.

See also arxiv:0907.5323v1 math.nt for an earlier version, and there is an extended version. Max planck institute for mathematics, 2009 publication of this paper finally! brings down my erd s number from 3 to 2. My hope of ever reaching erd s number 1 is epsilon , but if you dig into the details of how i am to get erd s number 2, you will find an argument showing that epsilon still may be nonzero. Our company's proficient, phd level tutors for topics regarding number theory have tutored countless master level academics worldwide by producing the most versatile, moderate cost, ph.d. Tutoring services for number theory book reports and graduate level thesis paper expertise. In harmony with your fast approaching due date, restrained finances, explicit style, and scholarly circumstance, our writing tutors can email urgent support for your process analysis essay, compare and contrast essay, comparative term paper, student book report, and corresponding styles of number theory reports. Custom research service customers can submit payment for a 100% brand new number theory essay.

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Level orders will be fulfilled specifically by those amazing tutors who have achieved applicable credentials in the specialized writing subject. In 1996 in the field of diophantine equations under the direction of wolfgang schmidt. Much of his recent work has focused on the theory of modular forms to problems in number theory. For example, he has used this theory to answer several long standing open problems on the arithmetic of the ordinary partition function. He has written several papers on the arithmetic properties of the fourier coefficients of modular forms of half integral weight here there are applications to combinatorics, to the theory of elliptic curves, and to the study of the critical values of l functions attached to modular forms. Ahlgren has written on a wide range of topics he has authored or co authored more than 35 research papers in various areas of number theory. After getting his bachelor's and master's degrees from the university of waterloo, received his phd from ucla in 2012 under the supervision of chandrashekhar khare.