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520 y Fn(But)14 b(the)h(sequence)h Ff(u)pFn(()p Ff(n)p Fn()e(satis\014es)h(the)f(relations)736 598y Ff(u)p Fn(\()p Ff(n)p Fn(\))d(=)h Ff(u)p Fn(\(2)p Ff(n)pFn()g(=)f Ff(u)p Fn(4)p Ff(n)e Fn(+)h(1))p Ff(;)733 678y(u)p Fn(4)p Ff(n)e Fn(+)i(3)h(=)h Ff(u)pFn(2)p Ff(n)dFn(+)g(1\)h(+)f(1)p Ff(:)0 744 y Fn(By)14 b(减法)g(w)o(e)g(获得)424 806 y Fj(+)p Fd(1)424 818 y Fc(X)422 906 y Fg(n)p Fj(=0)492858 y Ff(u)p Fn()p Ff(n)p Fn()7 b Ff(f)t Fn(2)p Ff(n)jFn(+)f(1))g Fe(000)807 806 y Fj(+)p Fd(1)806 818 y Fc(X)805906年Fg(n)p Fj(=0)874 858年Ff(u)p Fn(2)p Ff(n)g Fn(+)g(1)eFf(f)t Fn(2)p Ff(n)j Fn(+)g(1)h(=)1286 806 y Fj(+)p Fd(1)1285818年Fc(X)1284 906年Fg(n)p Fj(=0)1353 858年Ff(f)t Fn(\(4)pFf(n)f Fn(+)g(3))0 971年(和)k(ev)o(en)o(实际)498 1009年Fj(+)p Fd(1)497 1021 y Fc(X)496 1109 y Fg(n)p Fj(=0)565 1060y Ff(u)p Fn铁(000)f Ff(f)t Fn(2)p Ff(n)p FnFf(n)g Fn(+)f(1)])i(=)1201 1009 y Fj(+)p Fd(1)1200 1021 yFc(X)1199 1109 y Fg(n)p Fj(=0)1268 1060 y Ff(f)t Fn(\(4)p Ff(n)fFn(+)g(3)p Ff(:)50 1162 y Fn(W)m(e)j(适用)g(本)h(形式)o(ula)e(与)6611232年Ff(f)t Fn(()p Ff(n)p Fn()h(=)815 1204年(1)p 804 122243 2 v 804 1260 a Ff(n)829 1248 y Fg(s)861 1232 y Fe(\000)9701204 y Fn(1)p 907 1222 147 2 v 907 1260 a(()p Ff(n)c Fn(+)h(1))10361248 y Fg(s)1059 1232 y Ff(;)52 b(f)t Fn(0))12 b(=)g(0)pFf(;)0 1319 y Fn(and)i(w)o(e)g(get)354 1379 y Fc(\022)385 1437y Fn(1)9 b Fe(\000)470 1409 y Fn(1)p 462 1428 39 2 v 462 1466a(2)483 1454 y Fg(s)505 1379 y Fc(\023)544 1386 y Fj(+)p Fd(1)5441398年Fc(X)542 1486年Fg(n)p Fj(=1)612 1437年Ff(u)p Fn(\()pFf(n)p Fn(\))707 1379 y Fc(\ 024)745 1409 y Fn(1)p 734 142843 2 v 734 1466 a Ff(n)759 1454 y Fg(s)790 1437 y Fe(\000)9001409 y Fn(1)p 837 1428 147 2 v 837 1466 a(()p Ff(n)g Fn(+)h(1))9661454年Fg(s)988 1379年Fc(\025)1022 1437年Fn(=)1068 1386年Fj(+)p Fd(1)1067 1398 y Fc(X)1066 1486 y Fg(n)p Fj(=0)11351379 y Fc(\024)1235 1409 y Fn(1)p 1162 1428 1682 v 1162 1466a(4)p Ff(n)f Fn(+)h(3))1312 1454 y Fg(s)1343 1437 y Fe(000)14631409 y Fn(1)p 1390 1428 V 1390 1466 a(4)p Ff(n)f Fn(+)g(4))15391454 y Fg(s)1562 1379 y Fc(\025)1591 1437 y Ff(:)-1603 b Fn(\(5))01553年(The)14 b(b)q(eha)o(viour)g(of)f(The)i(Riemann)d(and)h(Hurwitz)i(zeta)f(函数)g(近)h(1)e(are)i(kno)o(wn)e([13)o(,)g Fe(x)q Fn(13.21]:)7441650 y Ff(\020)s Fn()p Ff(s)p Fn(\))24 b(=)823 1676 y Fg(s)Fd(!)p Fj(1)936 1622 y Fn(1)p 901 1641 91 2 v 901 1679 a Ff(s)9b Fe(\000)h Fn(1)1006 1650 y(+)f Ff(\015)j Fn(+)e Ff(o)p Fn(\(1\))pFf(;)684 1777 y(\020)s Fn(\)p Ff(s;)d(a)p Fn(_))24 b(=)8041802年Fg(s)p Fd(!)p Fj(1)917 1749年Fn(1)p 882 1767 V 8821805 a Ff(s)9 b Fe(\000)h Fn(1)987 1777 y Fe(\000)1033 1749y Fn(\000)1059 1733 y Fd(0)p 1033 1767 38 2 v 1039 1805 a Fn(\000)10761777年(()p Ff(a)p Fn())f(+)h Ff(o)p Fn()p f(;)0 1857y Fn(和)k(the)g(lo)q(cal)f(analysis)g(of)h(the)g(terms)g(in)f(f)m(orm)o(ula)e(5)j(in)f(the)i(邻居)o(b)q(ourho)q(o)q(d)f(of)f(1)h(giv)o(es)6461919年Fj(+)p Fd(1)646 1932年Fc(X)644 2019年Fg(n)p Fj(=1)7551943年Ff(u)p Fn(()p Ff(n)p Fn())p 719 1961 154 2 v 719 1999a Ff(n)p Fn()p Ff(n)9 b Fn(+)g(1))889 1971年y(=)938 1943年y(1)p 938 1961 21 2 v 938 1999 a(2)977 1912 y Fc(\022)10081971年Fe(000)1045 1943年Fn(000)1071 1928年Fd(0)p 10451961年38 2 v 1051 1999 a Fn(000)1088 1971 y(3)p Ff(=)p Fn(4)fFe(\000)i Ff(\015)1256 1912 y Fc(\023)1294 1971 y Ff(:)0 2087y Fn(根据)k(to)g(高斯)g([13)o(,)f Fe(x)q Fn(12.16])f([8)o()h(p.)18b(94),)13 b(w)o(e)h(ha)o(v)o(e)361 2160 y(\000)387 2145 y Fd(0)p361 2179 V 367 2217 a Fn(\000)404 2188 y()p Ff(p=q)q Fn()d(=)hFe(000)p Ff(015)g Fe(1000)e Fn(ln(2)p Ff(q)q Fn())f Fe(2000)8232160 y Ff(\031)p 823 2179 26 2 v 825 2217 a Fn(2)867 2188 y(cotg)9562160 y Ff(\031)q(p)p 956 2179 47 2 v 969 2217 a(q)1016 2188y Fn(+)h(2)1132 2149 y Fc(X)1092 2240 y Fj(0)p Fg(-->